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Mathematics

  1. Non-local kinetic and macroscopic models for self-organised animal aggregations

    Carrillo, J. A., Eftimie, R. & Hoffmann, F. Sep 2015 In : Kinetic and Related Models. 8, 3, p. 413-441 29 p.

    Research output: Contribution to journalArticle

  2. Memory versus effector immune responses in oncolytic virotherapies

    Macnamara, C. & Eftimie, R. 21 Jul 2015 In : Journal of Theoretical Biology. 377, p. 1-9 9 p.

    Research output: Contribution to journalArticle

  3. Hopf bifurcation in a gene regulatory network model: Molecular movement causes oscillations

    Chaplain, M., Ptashnyk, M. & Sturrock, M. 15 Jun 2015 In : Mathematical Models and Methods in Applied Sciences. 25, 6, p. 1179-1215 37 p.

    Research output: Contribution to journalArticle

  4. Physical role of topological constraints in localized magnetic relaxation

    Yeates, A. R., Russell, A. J. B. & Hornig, G. Jun 2015 In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 471, 2178, 12 p., 20150012

    Research output: Contribution to journalArticle

  5. The effect of reconnection on the structure of the Sun's open-closed-flux boundary

    Pontin, D. I. & Wyper, P. F. 20 May 2015 In : Astrophysical Journal. 805, 1, 13 p., 39

    Research output: Contribution to journalArticle

  6. The structure of current layers and degree of field line braiding in coronal loops

    Pontin, D. I. & Hornig, G. 20 May 2015 In : Astrophysical Journal. 805, 1, 12 p., 47

    Research output: Contribution to journalArticle

  7. Organ-level quorum sensing directs regeneration in hair stem cell populations

    Chen, C-C., Wang, L., Plikus, M. V., Jiang, T. X., Murray, P. J., Ramos, R., Guerrero-Juarez, C. F., Hughes, M. W., Lee, O. K., Shi, S., Widelitz, R. B., Lander, A. D. & Chuong, C. M. 9 Apr 2015 In : Cell. 161, 2, p. 277-290 14 p.

    Research output: Contribution to journalArticle

  8. Modelling cell movement, cell differentiation, cell sorting and proportion regulation in Dictyostelium discoideum aggregations

    Pineda, M., Weijer, C. J. & Eftimie, R. 7 Apr 2015 In : Journal of Theoretical Biology. 370, p. 135-150 16 p.

    Research output: Contribution to journalArticle

  9. Modelling cell movement, cell differentiation, cell sorting and proportion regulation in dictyostelium discoideum aggregations

    Pineda, M., Weijer, C. J. & Eftimie, R. 7 Apr 2015 In : Journal of Theoretical Biology. 370, p. 135-150 16 p.

    Research output: Contribution to journalArticle

  10. Evolution of field line helicity during magnetic reconnection

    Russell, A. J. B., Yeates, A. R., Hornig, G. & Wilmot-Smith, A. L. Mar 2015 In : Physics of Plasmas. 22, 3, 10 p., 032106

    Research output: Contribution to journalArticle

  11. Magnetospheric signatures of ionospheric density cavities observed by cluster

    Russell, A. J. B., Karlsson, T. & Wright, A. N. Mar 2015 In : Journal of Geophysical Research: Space Physics. 120, 3, p. 1876-1887

    Research output: Contribution to journalArticle

  12. Mass media and heterogeneous bounds of confidence in continuous opinion dynamics

    Pineda, M. & Buendía, G. M. 15 Feb 2015 In : Physica A: Statistical Mechanics and its Applications. 420, p. 73-84 12 p.

    Research output: Contribution to journalArticle

  13. Particle acceleration in plasmoid ejections derived from radio drifting pulsating structures

    Nishizuka, N., Karlický, M., Janvier, M. & Bárta, M. 1 Feb 2015 In : Astrophysical Journal. 799, 2, 16 p., 126

    Research output: Contribution to journalArticle

  14. Multi-scale modelling of the dynamics of cell colonies: insights into cell-adhesion forces and cancer invasion from in silico simulations

    Schluter, D. K., Ramis-Conde, I. & Chaplain, M. A. J. Feb 2015 In : Journal of the Royal Society Interface. 12, 103, 13 p., 20141080

    Research output: Contribution to journalArticle

  15. Systems oncology: towards patient-specific treatment regimes informed by multiscale mathematical modelling

    Powathil, G. G., Swat, M. & Chaplain, M. A. J. Feb 2015 In : Seminars in Cancer Biology. 30, p. 13-20 8 p.

    Research output: Contribution to journalArticle

  16. Strategies of eradicating glioma cells: A multi-scale mathematical model with miR-451-AMPK-mTOR control

    Kim, Y., Powathil, G., Kang, H., Trucu, D., Kim, H., Lawler, S. & Chaplain, M. 28 Jan 2015 In : PLoS ONE. 10, 1

    Research output: Contribution to journalArticle

  17. Integral representation of a solution to the Stokes-Darcy problem

    Medková, D., Ptashnyk, M. & Varnhorn, W. 2015 In : Mathematical Methods in the Applied Sciences. 16 p.

    Research output: Contribution to journalArticle

  18. Modelling communication and movement: from cells to animals and humans

    Eftimie, R. 2015 Snapshots of Modern Mathematics from Oberwolfach, 6, p. 1-7 7 p.

    Research output: Contribution to specialist publicationArticle

  19. Solving a Maxwell interface problem by a local L2projected C0finite element method

    Duan, H., Lin, P. & Tan, R. C. E. 2015 Numerical Mathematics and Advanced Applications ENUMATH 2013: Proceedings of the ENUMATH 2013, the 10th European Conference on Numerical Mathematics and Advanced Applications, Lausanne, August 2013. Abdulle, A., Deparis, S., Kressner, D., Nobile, F. & Picasso, M. (eds.). Switzerland: Springer International, p. 795-802 8 p. (Lecture Notes in Computational Science and Engineering; vol. 103)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  20. Spatiotemporal oscillations of Notch1, Dll1 and NICD are coordinated across the mouse PSM

    Bone, R. A., Bailey, C. S. L., Wiedermann, G., Ferjentsik, Z., Appleton, P. L., Murray, P. J., Maroto, M. & Dale, J. K. 15 Dec 2014 In : Development. 141, 24, p. 4806-4816 11 p.

    Research output: Contribution to journalArticle

  21. Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns

    Domschke, P., Trucu, D., Gerisch, A. & Chaplain, M. A. J. 21 Nov 2014 In : Journal of Theoretical Biology. 361, p. 41-60 20 p.

    Research output: Contribution to journalArticle

  22. Codimension-two bifurcations in animal aggregation models with symmetry

    Buono, P-L. & Eftimie, R. 13 Nov 2014 In : Siam Journal on Applied Dynamical Systems. 13, 4, p. 1542-1582 41 p.

    Research output: Contribution to journalArticle

  23. A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law

    Guo, Z., Lin, P. & Lowengrub, J. S. 1 Nov 2014 In : Journal of Computational Physics. 276, p. 486-507 22 p.

    Research output: Contribution to journalArticle

  24. Dynamic topology and flux rope evolution during non-linear tearing of 3D null point current sheets

    Wyper, P. F. & Pontin, D. I. Oct 2014 In : Physics of Plasmas. 21, 10, 11 p., 102102

    Research output: Contribution to journalArticle

  25. Global Hopf bifurcation in the ZIP regulatory system

    Claus, J., Ptashnyk, M., Bohmann, A. & Chavarría-Krauser, A. Oct 2014 In : Journal of Mathematical Biology. 22 p.

    Research output: Contribution to journalArticle

  26. Superflare occurrence and energies on G-, K-, and M-type dwarfs

    Candelaresi, S., Hillier, A., Maehara, H., Brandenburg, A. & Shibata, K. 1 Sep 2014 In : Astrophysical Journal. 792, 1, 67

    Research output: Contribution to journalArticle

  27. Extending the transport theorem to rough domains of integration

    Seguin, B., Hinz, D. F. & Fried, E. Sep 2014 In : Applied Mechanics Reviews. 66, 5, 16 p., 050802

    Research output: Contribution to journalArticle

  28. In situ properties of small and large flux ropes in the solar wind

    Janvier, M., Démoulin, P. & Dasso, S. Sep 2014 In : Journal of Geophysical Research: Space Physics. 119, 9, p. 7088-7107 20 p.

    Research output: Contribution to journalArticle

  29. The effect of interstitial pressure on therapeutic agent transport: coupling with the tumor blood and lymphatic vascular systems

    Wu, M., Frieboes, H. B., Chaplain, M. A. J., McDougall, S. R., Cristini, V. & Lowengrub, J. S. 21 Aug 2014 In : Journal of Theoretical Biology. 355, p. 194-207 14 p.

    Research output: Contribution to journalArticle

  30. Non-linear tearing of 3D null point current sheets

    Wyper, P. F. & Pontin, D. I. Aug 2014 In : Physics of Plasmas. 21, 8, 10 p., 082114

    Research output: Contribution to journalArticle

  31. Regenerative Hair Waves in Aging Mice and Extra-Follicular Modulators Follistatin, Dkk1 and Sfrp4

    Chen, C-C., Murray, P. J., Jiang, T. X., Plikus, M. V., Chang, Y-T., Lee, O. K., Widelitz, R. B. & Chuong, C. M. Aug 2014 In : Journal of Investigative Dermatology. 134, 8, p. 2086-2096 11 p.

    Research output: Contribution to journalArticle

  32. Stochastic modelling of chromosomal segregation: errors can introduce correction

    Matzavinos, A., Shtylla, B., Voller, Z., Liu, S. & Chaplain, M. A. J. Jul 2014 In : Bulletin of Mathematical Biology. 76, 7, p. 1590-1606 17 p.

    Research output: Contribution to journalArticle

  33. Current singularities in line-tied three-dimensional magnetic fields

    Craig, I. J. D. & Pontin, D. I. 20 Jun 2014 In : Astrophysical Journal. 788, 2, 8 p., 177

    Research output: Contribution to journalArticle

  34. Existence and meta-stability of steady states of a model for chemotaxis

    Davidson, F. A. & Savory, A. I. M. Jun 2014 In : Nonlinear Analysis: Real World Applications. 17, p. 101-113 13 p.

    Research output: Contribution to journalArticle

  35. A finite element method for heat transfer of power-law flow in channels with a transverse magnetic field

    Shi, H., Lin, P., Li, B. & Zheng, L. 30 May 2014 In : Mathematical Methods in the Applied Sciences. 37, 8, p. 1121-1129 9 p.

    Research output: Contribution to journalArticle

  36. Auto-aggregation in zoospores of Phytophthora infestans: the cooperative roles of bioconvection and chemotaxis

    Savory, A. I. M., Grenville-Briggs, L. J., Wawra, S., van West, P. & Davidson, F. A. 6 May 2014 In : Journal of the Royal Society Interface. 11, 94, 8 p., 20140017

    Research output: Contribution to journalArticle

  37. Alfvén wave boundary condition for responsive magnetosphere-ionosphere coupling

    Wright, A. N. & Russell, A. J. B. May 2014 In : Journal of Geophysical Research: Space Physics. 119, 5, p. 3996-4009 14 p.

    Research output: Contribution to journalArticle

  38. Retinal vessel segmentation using a finite element based binary level set method

    Guo, Z., Lin, P., Ji, G. & Wang, Y. May 2014 In : Inverse Problems and Imaging. 8, 2, p. 459-473 15 p.

    Research output: Contribution to journalArticle

  39. Slipping magnetic reconnection during an X-Class solar flare observed by SDO/AIA

    Dudík, J., Janvier, M., Aulanier, G., Del Zanna, G., Karlický, M., Mason, H. E. & Schmieder, B. 1 Apr 2014 In : Astrophysical Journal. 784, 2, 21 p., 144

    Research output: Contribution to journalArticle

  40. High order variable mesh off-step discretization for the solution of 1-D non-linear hyperbolic equation

    Singh, S. & Lin, P. 1 Mar 2014 In : Applied Mathematics and Computation. 230, p. 629-638 10 p.

    Research output: Contribution to journalArticle

  41. Regulation of vectorial supply of vesicles to the hyphal tip determines thigmotropism in Neurospora crassa

    Stephenson, K. S., Gow, N. A. R., Davidson, F. A. & Gadd, G. M. Mar 2014 In : Fungal Biology. 118, 3, p. 287-294 8 p.

    Research output: Contribution to journalArticle

  42. A study of multiple solutions for the Navier-Stokes equations by a finite element method

    Xu, H., Lin, P. & Si, X. 1 Feb 2014 In : Numerical Mathematics: Theory, Methods and Applications. 7, 1, p. 107-122 16 p.

    Research output: Contribution to journalArticle

  43. A predator–prey model with generic birth and death rates for the predator

    Terry, A. J. Feb 2014 In : Mathematical Biosciences. 248, p. 57-66 10 p.

    Research output: Contribution to journalArticle

  44. Continuous finite element schemes for a phase field model in two-layer fluid Bénard–Marangoni convection computations

    Guo, Z., Lin, P. & Wang, Y. Jan 2014 In : Computer Physics Communications. 185, 1, p. 63-78 16 p.

    Research output: Contribution to journalArticle

  45. Phosphorylated DegU manipulates cell fate differentiation in the Bacillus subtilis biofilm

    Marlow, V. L., Porter, M., Hobley, L., Kiley, T. B., Swedlow, J. R., Davidson, F. A. & Stanley-Wall, N. R. Jan 2014 In : Journal of Bacteriology. 196, 1, p. 16-27 10 p.

    Research output: Contribution to journalArticle

  46. A complete topological invariant for braided magnetic fields

    Yeates, A. R. & Hornig, G. 2014 In : Journal of Physics: Conference Series. 544, 1, 10 p., 012002

    Research output: Contribution to journalArticle

  47. Electric currents in flare ribbons: observations and three-dimensional standard model

    Janvier, M., Aulanier, G., Bommier, V., Schmieder, B., Démoulin, P. & Pariat, E. 2014 In : Astrophysical Journal. 788, 1, 60

    Research output: Contribution to journalArticle

  48. Improved drag force model and its application in simulating nanofluid flow

    Dong, S., Zheng, L., Zhang, X. & Lin, P. 2014 In : Microfluidics and Nanofluidics. 17, 2, p. 253-261 9 p.

    Research output: Contribution to journalArticle

  49. Mathematical modeling of tumor growth and treatment

    Enderling, H. & Chaplain, M. A. J. 2014 In : Current Pharmaceutical Design. 20, 30, p. 4934-4940 7 p.

    Research output: Contribution to journalArticle

  50. Mean field analysis of a spatial stochastic model of a gene regulatory network

    Sturrock, M., Murray, P. J., Matzavinos, A. & Chaplain, M. A. J. 2014 In : Journal of Mathematical Biology. 39 p.

    Research output: Contribution to journalArticle

  51. Mean shape of interplanetary shocks deduced from in situ observations and its relation with interplanetary CMEs

    Janvier, M., Démoulin, P. & Dasso, S. 2014 In : Astronomy and Astrophysics. 565, May, 13 p., A99

    Research output: Contribution to journalArticle

  52. Mimetic methods for Lagrangian relaxation of magnetic fields

    Candelaresi, S., Pontin, D. & Hornig, G. 2014 In : SIAM Journal on Scientific Computing. 36, 6, p. B952-B968 17 p.

    Research output: Contribution to journalArticle

  53. Multiscale analysis and modelling for cancer growth and development

    Trucu, D. & Chaplain, M. A. J. 2014 Managing Complexity, Reducing Perplexity: Modeling Biological Systems. Delitala, M. & Marsan, G. A. (eds.). Berlin: Springer International, Vol. 67, p. 45-53 9 p. (Springer Proceedings in Mathematics & Statistics; vol. 67)

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  54. On Wolfe's Method for Resolving Degeneracy in Linearly Constrained Optimization

    Fletcher, R. 2014 In : SIAM Journal on Optimization. 24, 3, p. 1122-1137 16 p.

    Research output: Contribution to journalArticle

  55. The Role of Dimerisation and Nuclear Transport in the Hes1 Gene Regulatory Network

    Sturrock, M., Hellander, A., Aldakheel, S., Petzold, L. & Chaplain, M. A. J. 2014 In : Bulletin of Mathematical Biology. 76, 4, p. 766-798 33 p.

    Research output: Contribution to journalArticle

  56. Prey resurgence from mortality events in predator-prey models

    Terry, A. J. Dec 2013 In : Nonlinear Analysis: Real World Applications. 14, 6, p. 2180-2203 24 p.

    Research output: Contribution to journalArticle

  57. Patterns of spread of Influenza A in Canada

    He, D., Dushoff, J., Eftimie, R. & Earn, D. J. D. 7 Nov 2013 In : Proceedings of the Royal Society B. 280, 1770, 20131174

    Research output: Contribution to journalArticle

  58. A synthetic system for expression of components of a bacterial microcompartment

    Sargent, F., Davidson, F. A., Kelly, C. L., Binny, R., Christodoulides, N., Gibson, D., Johansson, E., Kozyrska, K., Licandro Lado, L., MacCallum, J., Montague, R., Ortmann, B., Owen, R., Coulthurst, S. J., Dupuy, L., Prescott, A. R. & Palmer, T. Nov 2013 In : Microbiology-SGM. 159, 11, p. 2427-2436 10 p.

    Research output: Contribution to journalArticle

  59. Basic rules for polarised cell growth

    Jaffar, M. Z. A. M. & Davidson, F. A. Nov 2013 In : Journal of Theoretical Biology. 336, p. 44-51 8 p.

    Research output: Contribution to journalArticle

  60. Solar flares and focused energy transport by MHD waves

    Russell, A. J. B. & Stackhouse, D. J. Oct 2013 In : Astronomy and Astrophysics. 558, A76

    Research output: Contribution to journalArticle

  61. On the nature of reconnection at a solar coronal null point above a separatrix dome

    Pontin, D. I., Priest, E. R. & Galsgaard, K. 10 Sep 2013 In : Astrophysical Journal. 774, 2, 10 p., 154

    Research output: Contribution to journalArticle

  62. Retinal vessel segmentation using multiwavelet kernels and multiscale hierarchical decomposition

    Wang, Y., Ji, G., Lin, P. & Trucco, E. Aug 2013 In : Pattern Recognition. 46, 8, p. 2117-2133 17 p.

    Research output: Contribution to journalArticle

  63. Towards predicting the response of a solid tumour to chemotherapy and radiotherapy treatments: clinical insights from a computational model

    Powathil, G. G., Adamson, D. J. A. & Chaplain, M. A. J. 11 Jul 2013 In : PLoS Computational Biology. 9, 7, e1003120

    Research output: Contribution to journalArticle

  64. The effect of interstitial pressure on tumor growth: Coupling with the blood and lymphatic vascular systems

    Wu, M., Frieboes, H. B., McDougall, S. R., Chaplain, M. A. J., Cristini, V. & Lowengrub, J. 7 Mar 2013 In : Journal of Theoretical Biology. 320, p. 131-151 21 p.

    Research output: Contribution to journalArticle

  65. Kelvin-Helmholtz instability in a current-vortex sheet at a 3D magnetic null

    Wyper, P. F. & Pontin, D. I. Mar 2013 In : Physics of Plasmas. 20, 3, 032117

    Research output: Contribution to journalArticle

  66. Does spacecraft trajectory strongly affect detection of magnetic clouds?

    Démoulin, P., Dasso, S. & Janvier, M. Feb 2013 In : Astronomy and Astrophysics. 550, 15 p., A3

    Research output: Contribution to journalArticle

  67. The standard flare model in three dimensions II: upper limit on solar flare energy

    Aulanier, G., Démoulin, P., Schrijver, C. J., Janvier, M., Pariat, E. & Schmieder, B. Jan 2013 In : Astronomy and Astrophysics. 549, 7 p., A66

    Research output: Contribution to journalArticle

  68. A multiscale moving boundary model arising in cancer invasion

    Trucu, D., Lin, P., Chaplain, M. A. J. & Wang, Y. 2013 In : Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal. 11, 1, p. 309-335 27 p.

    Research output: Contribution to journalArticle

  69. A priori and a posteriori W1,∞error analysis of a QC method for complex lattices

    Abdulle, A., Lin, P. & Shapeev, A. V. 2013 In : SIAM Journal on Numerical Analysis. 51, 4, p. 2357-2379 23 p.

    Research output: Contribution to journalArticle

  70. Analysis of a continuous finite element method for H(curl,div)-elliptic interface problem

    Duan, H., Lin, P. & Tan, R. C. E. 2013 In : Numerische Mathematik. p. 1-37 37 p.

    Research output: Contribution to journalArticle

  71. Computation of balanced equivalence relations and their lattice for a coupled cell network

    Kamei, H. & Cock, P. J. A. 2013 In : Siam Journal on Applied Dynamical Systems. 12, 1, p. 352-382 31 p.

    Research output: Contribution to journalArticle

  72. Error estimates for a vectorial second-order elliptic eigenproblem by the local L2 projected C0 finite element method

    Duan, H-Y., Lin, P. & Tan, R. C. E. 2013 In : SIAM Journal on Numerical Analysis. 51, 3, p. 1678-1714 37 p.

    Research output: Contribution to journalArticle

  73. Flow and heat transfer of a micropolar fluid in a porous channel with expanding or contracting walls

    Si, X., Zheng, L., Lin, P., Zhang, X. & Zhang, Y. 2013 In : International Journal of Heat and Mass Transfer. 67, p. 885-895

    Research output: Contribution to journalArticle

  74. Implosion of coronal loops during the impulsive phase of a solar flare

    Simões, P. J. A., Fletcher, L., Hudson, H. S. & Russell, A. J. B. 2013 In : Astrophysical Journal. 777, 2

    Research output: Contribution to journalArticle

  75. Landau-Lifshitz-Slonczewski equations: global weak and classical solutions

    Melcher, C. & Ptashnyk, M. 2013 In : SIAM Journal on Mathematical Analysis. 45, 1, p. 407-429 23 p.

    Research output: Contribution to journalArticle

  76. Modelling Delta-Notch perturbations during zebrafish somitogenesis

    Murray, P. J., Maini, P. K. & Baker, R. E. 2013 In : Developmental Biology. 373, 2, p. 407-421 15 p.

    Research output: Contribution to journalArticle

  77. On the relaxation of braided magnetic fields

    Pontin, D. I., Wilmot-Smith, A. L. & Hornig, G. 2013 IUTAM Symposium on Understanding Common Aspects of Extreme Events in Fluids. Bustamante, M. D., Newell, A. C., Kerr, R. M. & Tsubota, M. (eds.). Elsevier, p. 110-120 11 p. (Procedia IUTAM; vol. 9)

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  78. Spatial stochastic modelling of the Hes1 gene regulatory network: intrinsic noise can explain heterogeneity in embryonic stem cell differentiation

    Sturrock, M., Hellander, A., Matzavinos, A. & Chaplain, M. A. J. 2013 In : Journal of the Royal Society Interface. 10, 80, p. 20120988

    Research output: Contribution to journalArticle

  79. Time-Discrete Higher-Order ALE Formulations: Stability

    Bonito, A., Kyza, I. & Nochetto, R. H. 2013 In : SIAM Journal on Numerical Analysis. 51, 1, p. 577-604 28 p.

    Research output: Contribution to journalArticle

  80. Unique topological characterization of braided magnetic fields

    Yeates, A. R. & Hornig, G. 2013 In : Physics of Plasmas. 20, 1, 5 p., 012102

    Research output: Contribution to journalArticle

  81. Reversing invasion in bistable systems

    Alzahrani, E. O., Davidson, F. A. & Dodds, N. Dec 2012 In : Journal of Mathematical Biology. 65, 6-7, p. 1101-1124 24 p.

    Research output: Contribution to journalArticle

  82. A limited memory steepest descent method

    Fletcher, R. Oct 2012 In : Mathematical Programming. 135, 1-2, p. 413-436 24 p.

    Research output: Contribution to journalArticle

  83. Computational Modeling of Single-Cell Migration: The Leading Role of Extracellular Matrix Fibers

    Schlueter, D. K., Ramis-Conde, I. & Chaplain, M. A. J. 19 Sep 2012 In : Biophysical Journal. 103, 6, p. 1141-1151 11 p.

    Research output: Contribution to journalArticle

  84. On the formation of current sheets in response to the compression or expansion of a potential magnetic field

    Pontin, D. I. & Huang, Y. -M. 1 Sep 2012 In : Astrophysical Journal. 756, 1, 6 p., 7

    Research output: Contribution to journalArticle

  85. C-0 elements for generalized indefinite Maxwell equations

    Duan, H., Lin, P. & Tan, R. C. E. Sep 2012 In : Numerische Mathematik. 122, 1, p. 61-99 39 p.

    Research output: Contribution to journalArticle

  86. A nonmonotone filter method for nonlinear optimization

    Shen, C., Leyffer, S. & Fletcher, R. Jul 2012 In : Computational Optimization and Applications. 52, 3, p. 583-607 25 p.

    Research output: Contribution to journalArticle

  87. Influence of the nuclear membrane, active transport, and cell shape on the Hes1 and p53-Mdm2 pathways: insights from spatio-temporal modelling

    Sturrock, M., Terry, A. J., Xirodimas, D. P., Thompson, A. M. & Chaplain, M. A. J. Jul 2012 In : Bulletin of Mathematical Biology. 74, 7, p. 1531-1579 49 p.

    Research output: Contribution to journalArticle

  88. The standard flare model in three dimensions I: strong-to-weak shear transition in post-flare loops

    Aulanier, G., Janvier, M. & Schmieder, B. Jul 2012 In : Astronomy and Astrophysics. 543, 14 p., A110

    Research output: Contribution to journalArticle

  89. Selective Heterogeneity in Exoprotease Production by Bacillus subtilis

    Davidson, F. A., Yi, C-S. & Stanley-Wall, N. R. 20 Jun 2012 In : PLoS ONE. 7, 6, p. - 15 p., e38574

    Research output: Contribution to journalArticle

  90. A 3-species competition model for bio-control

    Alzahrani, E. O., Davidson, F. A. & Dodds, N. 1 Jun 2012 In : Applied Mathematics and Computation. 218, 19, p. 9690-9698 9 p.

    Research output: Contribution to journalArticle

  91. Analysis and Approximation of Microstructure Models: preface to special issue

    Muntean, A., Ptashnyk, M. & Showalter, R. E. 1 Jun 2012 In : Applicable Analysis. 91, 6, p. 1053-1054 2 p.

    Research output: Contribution to journalSpecial issue

  92. Exponential stability of reaction-diffusion high-order Markovian jump Hopfield neural networks with time-varying delays

    Wang, Y., Lin, P. & Wang, L. 1 Jun 2012 In : Nonlinear Analysis: Real World Applications. 13, 3, p. 1353-1361 9 p.

    Research output: Contribution to journalArticle

  93. Extrasynaptic glycine receptors of the rodent dorsal raphe serotonergic neurons: a novel sensitive target for ethanol

    Belelli, D., Lambert, J. J., Maguire, E. P. & Mitchell, E. A. Jun 2012 In : Alcoholism: Clinical and Experimental Research. 36, S1, p. 326A-326A 1 p.

    Research output: Contribution to journalMeeting abstract

  94. A multiscale approach to curvature modulated sorting in biological membranes

    Mercker, M., Ptashnyk, M., Kuhnle, J., Hartmann, D., Weiss, M. & Jager, W. May 2012 In : Journal of Theoretical Biology. 301, 5, p. 67-82 16 p.

    Research output: Contribution to journalArticle

  95. Sensor fusion by a novel algorithm for time delay estimation

    Terry, A. J., Zaman, M. & Illingworth, J. May 2012 In : Digital Signal Processing. 22, 3, p. 439-452 14 p.

    Research output: Contribution to journalArticle

  96. Modelling hyphal networks

    Boswell, G. P. & Davidson, F. A. 1 Apr 2012 In : Fungal Biology Reviews. 26, 1, p. 30-38 9 p.

    Research output: Contribution to journalArticle

  97. Is cell fusion driven by excitation?: Comment on DOI: 10.1002/bies.201100135

    Davidson, F. A. Apr 2012 In : BioEssays. 34, 4, p. 258-258 1 p.

    Research output: Contribution to journalArticle

  98. Integrating intracellular dynamics using CompuCell3D and bionetsolver: Applications to multiscale modelling of cancer cell growth and invasion

    Andasari, V., Roper, R. T., Swat, M. H. & Chaplain, M. A. J. 26 Mar 2012 In : PLoS ONE. 7, 3, e33726

    Research output: Contribution to journalArticle

  99. Inhibitors of human histone deacetylase with potent activity against the African trypanosome Trypanosoma brucei

    Kelly, J. M., Taylor, M. C., Horn, D., Loza, E., Kalvinsh, I. & Bjorkling, F. 1 Mar 2012 In : Bioorganic & Medicinal Chemistry Letters. 22, 5, p. 1886-1890 5 p.

    Research output: Contribution to journalArticle

  100. Integrated intravital microscopy and mathematical modeling to optimize nanotherapeutics delivery to tumors

    van de Ven, A. L., Wu, M., Lowengrub, J., McDougall, S. R., Chaplain, M. A. J., Cristini, V., Ferrari, M. & Frieboes, H. B. Mar 2012 In : AIP Advances. 2, 1, p. - 13 p., 011208

    Research output: Contribution to journalArticle

  101. Lagrangian coherent structures in photospheric flows and their implications for coronal magnetic structure

    Yeates, A. R., Hornig, G. & Welsch, B. T. Mar 2012 In : Astronomy and Astrophysics. 539, A1

    Research output: Contribution to journalArticle

  102. Living on Three Time Scales: The Dynamics of Plasma Cell and Antibody Populations Illustrated for Hepatitis A Virus

    Andraud, M., Lejeune, O., Musoro, J. Z., Ogunjimi, B., Beutels, P. & Hens, N. Mar 2012 In : PLoS Computational Biology. 8, 3, p. - 8 p., e1002418

    Research output: Contribution to journalArticle

  103. Modelling the effects of cell-cycle heterogeneity on the response of a solid tumour to chemotherapy: Biological insights from a hybrid multiscale cellular automaton model

    Powathil, G. G., Gordon, K. E., Hill, L. A. & Chaplain, M. A. J. 1 Jan 2012 In : Journal of Theoretical Biology. 308, p. 1-19 19 p.

    Research output: Contribution to journalArticle

  104. Stability of nonconstant stationary solutions in a reaction-diffusion equation coupled to the system of ordinary differential equations

    Golovaty, Y., Marciniak-Czochra, A. & Ptashnyk, M. Jan 2012 In : Communications on Pure and Applied Analysis. 11, 1, p. 229-241 13 p.

    Research output: Contribution to journalArticle

  105. A hybrid discrete-continuum mathematical model of pattern prediction in the developing retinal vasculature

    McDougall, S. R., Watson, M. G., Devlin, A. H., Mitchell, C. A. & Chaplain, M. A. J. 2012 In : Bulletin of Mathematical Biology. p. 1-43 43 p.

    Research output: Contribution to journalArticle

  106. A Sequential Linear Constraint Programming Algorithm For NlP

    Fletcher, R. 2012 In : SIAM Journal on Optimization. 22, 3, p. 772-794 23 p.

    Research output: Contribution to journalArticle

  107. Classifying general nonlinear force laws in cell-based models via the continuum limit

    Murray, P. J., Edwards, C. M., Tindall, M. J. & Maini, P. K. 2012 In : Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 85, 2 , 11 p., 021921

    Research output: Contribution to journalArticle

  108. Dynamics of angiogenesis during murine retinal development: A coupled in vivo and in silico study

    Watson, M. G., McDougall, S. R., Chaplain, M. A. J., Devlin, A. H. & Mitchell, C. A. 2012 In : Journal of the Royal Society Interface. 9, 74, p. 2351-2364 14 p.

    Research output: Contribution to journalArticle

  109. Integrative physical oncology

    Hatzikirou, H., Chauviere, A., Bauer, A. L., Leier, A., Lewis, M. T., Macklin, P., Marquez-Lago, T. T., Bearer, E. L. & Cristini, V. 2012 In : Wiley Interdisciplinary Reviews: Systems Biology and Medicine. 4, 1, p. 1-14 14 p.

    Research output: Contribution to journalArticle

  110. Intracellular modelling of cell-matrix adhesion during cancer cell invasion

    Andasari, V. & Chaplain, M. A. J. 2012 In : Mathematical Modelling of Natural Phenomena. 7, 1, p. 29-48 20 p.

    Research output: Contribution to journalArticle

  111. Modelling hair follicle growth dynamics as an excitable medium

    Murray, P. J., Maini, P. K., Plikus, M. V., Chuong, C-M. & Baker, R. E. 2012 In : PLoS Computational Biology. 8, 12, p. 1-41 41 p., e1002804

    Research output: Contribution to journalArticle

  112. Numerical methods for multilattices

    Abdulle, A., Lin, P. & Shapeev, A. V. 2012 In : Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal. 10, 3, p. 696-726 31 p.

    Research output: Contribution to journalArticle

  113. On the relaxation of braided magnetic fields

    Pontin, D. I., Wilmot-Smith, A. L. & Hornig, G. 2012

    Research output: Contribution to conferencePaper

  114. Patient-calibrated agent-based modelling of ductal carcinoma in situ (DCIS): from microscopic measurements to macroscopic predictions of clinical progression

    Macklin, P., Edgerton, M. E., Thompson, A. M. & Cristini, V. 2012 In : Journal of Theoretical Biology. 301, p. 122-40 19 p.

    Research output: Contribution to journalArticle

  115. Preface

    Chaplain, M. A. J. 2012 In : Mathematical Modelling of Natural Phenomena. 7, 1, p. 1-2 2 p.

    Research output: Contribution to journalEditorial

  116. Root growth: homogenization in domains with time dependent partial perforations

    Capdeboscq, Y. & Ptashnyk, M. 2012 In : ESAIM: Control, Optimisation and Calculus of Variations. 18, 3, p. 856-876 21 p.

    Research output: Contribution to journalArticle

  117. Sedimentation and precipitation of nanoparticles in power-law fluids

    Zheng, L., Li, B., Lin, P., Zhang, X., Zhang, C., Zhao, B. & Wang, T. 2012 In : Microfluidics and Nanofluidics.

    Research output: Contribution to journalArticle

  118. Spine-fan reconnection: The influence of temporal and spatial variation in the driver

    Wyper, P. F., Jain, R. & Pontin, D. I. 2012 In : Astronomy and Astrophysics. 545, 12 p., ARTN A78

    Research output: Contribution to journalArticle

  119. Three-scale convergence for processes in heterogeneous media

    Trucu, D., Chaplain, M. A. J. & Marciniak-Czochra, A. 2012 In : Applicable Analysis. 91, 7, p. 1351-1373 23 p.

    Research output: Contribution to journalArticle

  120. Understanding hair follicle cycling: a systems approach

    Baker, R. E. & Murray, P. J. 2012 In : Current Opinion in Genetics & Development. 22, 6, p. 607-612 6 p.

    Research output: Contribution to journalArticle

  121. Unfolding-based corrector estimates for a reaction-diffusion system predicting concrete corrosion

    Fatima, T., Muntean, A. & Ptashnyk, M. 2012 In : Applicable Analysis. 91, 6, p. 1129-1154 26 p.

    Research output: Contribution to journalArticle

  122. Spatio-temporal modelling of the NF-kappa B intracellular signalling pathway: the roles of diffusion, active transport, and cell geometry

    Terry, A. J. & Chaplain, M. A. J. 7 Dec 2011 In : Journal of Theoretical Biology. 290, p. 7-26 20 p.

    Research output: Contribution to journalArticle

  123. Heating of braided coronal loops

    Wilmot-Smith, A. L., Pontin, D. I., Yeates, A. R. & Hornig, G. Dec 2011 In : Astronomy and Astrophysics. 536, p. - 9 p., A67

    Research output: Contribution to journalArticle

  124. Multi-Stability and Multi-Instability Phenomena in a Mathematical Model of Tumor-Immune-Virus Interactions

    Eftimie, R., Dushoff, J., Bridle, B., Bramson, J. L. & Earn, D. J. D. Dec 2011 In : Bulletin of Mathematical Biology. 73, 12, p. 2932-2961 30 p.

    Research output: Contribution to journalArticle

  125. Structure-driven nonlinear instability as the origin of the explosive reconnection dynamics in resistive double tearing modes

    Janvier, M., Kishimoto, Y. & Li, J. Q. 31 Oct 2011 In : Physical Review Letters. 107, 19, 5 p., 195001

    Research output: Contribution to journalArticle

  126. A time-dependent model for magnetic reconnection in the presence of a separator

    Wilmot-Smith, A. L. & Hornig, G. 20 Oct 2011 In : Astrophysical Journal. 740, 2, p. - 12 p., 89

    Research output: Contribution to journalArticle

  127. A continuum mathematical model of the developing murine retinal vasculature

    Aubert, M., Chaplain, M. A. J., McDougall, S. R., Devlin, A. & Mitchell, C. A. Oct 2011 In : Bulletin of Mathematical Biology. 73, 10, p. 2430-2451 22 p.

    Research output: Contribution to journalArticle

  128. A generalized flux function for three-dimensional magnetic reconnection

    Yeates, A. R. & Hornig, G. Oct 2011 In : Physics of Plasmas. 18, 10, 10 p., 102118

    Research output: Contribution to journalArticle

  129. Current accumulation at an asymmetric 3D null point caused by generic shearing motions

    Galsgaard, K. & Pontin, D. I. Oct 2011 In : Astronomy and Astrophysics. 534, p. - 8 p., A2

    Research output: Contribution to journalArticle

  130. Role of the pressure force in the explosive dynamics of magnetic islands in double tearing modes

    Janvier, M., Ishizawa, A., Li, J. & Kishimoto, Y. Oct 2011 In : Physics of Plasmas. 18, 10, 7 p., 102112

    Research output: Contribution to journalArticle

  131. Generalised models for torsional spine and fan magnetic reconnection

    Pontin, D. I., Al-Hachami, A. K. & Galsgaard, K. Sep 2011 In : Astronomy and Astrophysics. 533, p. - 11 p., A78

    Research output: Contribution to journalArticle

  132. The clock and wavefront model revisited

    Murray, P. J., Maini, P. K. & Baker, R. E. 21 Aug 2011 In : Journal of Theoretical Biology. 283, 1, p. 227 238 p.

    Research output: Contribution to journalArticle

  133. Energy law preserving C-0 finite element schemes for phase field models in two-phase flow computations

    Hua, J., Lin, P., Liu, C. & Wang, Q. 10 Aug 2011 In : Journal of Computational Physics. 230, 19, p. 7115-7131 17 p.

    Research output: Contribution to journalArticle

  134. Critical parameters for the nonlinear destabilization of double tearing modes in reversed shear plasmas

    Janvier, M., Kishimoto, Y. & Li, J. Aug 2011 In : Nuclear Fusion. 51, 8, 13 p., 083016

    Research output: Contribution to journalArticle

  135. Dynamical constraints from field line topology in magnetic flux tubes

    Yeates, A. R. & Hornig, G. 1 Jul 2011 In : Journal of Physics A: Mathematical and Theoretical. 44, 26, 17 p., 265501

    Research output: Contribution to journalArticle

  136. Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation

    Andasari, V., Gerisch, A., Lolas, G., South, A. P. & Chaplain, M. A. J. Jul 2011 In : Journal of Mathematical Biology. 63, 1, p. 141-171 31 p.

    Research output: Contribution to journalArticle

  137. Multiscale mathematical modelling in biology and medicine

    Chaplain, M. A. J. Jun 2011 In : IMA Journal of Applied Mathematics. 76, 3, p. 371-388 18 p.

    Research output: Contribution to journalArticle

  138. Special Issue: 2020 visions of applied mathematics

    Champneys, A. & Davidson, F. Jun 2011 In : IMA Journal of Applied Mathematics. 76, 3, p. 351-352 2 p.

    Research output: Contribution to journalEditorial

  139. Three-dimensional magnetic reconnection regimes: a review

    Pontin, D. I. 3 May 2011 In : Advances in Space Research. 47, 9, p. 1508-1522 15 p.

    Research output: Contribution to journalScientific review

  140. Steady state reconnection at a single 3D magnetic null point

    Galsgaard, K. & Pontin, D. I. May 2011 In : Astronomy and Astrophysics. 529, p. - 9 p., A20

    Research output: Contribution to journalArticle

  141. Dynamics of angiogenesis during wound healing: a coupled in vivo and in silico study

    Machado, M. J. C., Watson, M. G., Devlin, A. H., Chaplain, M. A. J., McDougall, S. R. & Mitchell, C. A. Apr 2011 In : Microcirculation. 18, 3, p. 183-197 15 p.

    Research output: Contribution to journalScientific review

  142. Error control for time-splitting spectral approximations of the semiclassical Schrodinger equation

    Kyza, I., Makridakis, C. & Plexousakis, M. Apr 2011 In : IMA Journal of Numerical Analysis. 31, 2, p. 416-441 26 p.

    Research output: Contribution to journalArticle

  143. Mathematical modelling of cancer invasion: the importance of cell-cell adhesion and cell-matrix adhesion

    Chaplain, M. A. J., Lachowicz, M., Szymanska, Z. & Wrzosek, D. Apr 2011 In : Mathematical Models and Methods in Applied Sciences. 21, 4, p. 719-743 25 p.

    Research output: Contribution to journalArticle

  144. Spatio-temporal modelling of the Hes1 and p53-Mdm2 intracellular signalling pathways

    Sturrock, M., Terry, A. J., Xirodimas, D. P., Thompson, A. M. & Chaplain, M. A. J. 21 Mar 2011 In : Journal of Theoretical Biology. 273, 1, p. 15-31 17 p.

    Research output: Contribution to journalArticle

  145. Correction: Physical oncology: A bench-to-bedside quantitative and predictive approach (Cancer Research (2011) 71, (298-302))

    Frieboes, H. B., Chaplain, M. A. J., Thompson, A. M., Bearer, E. L., Lowengrub, J. S. & Cristini, V. 1 Mar 2011 In : Cancer Research. 71, 5, p. 2024 1 p.

    Research output: Contribution to journalArticle

  146. Physical oncology: a bench-to-bedside quantitative and predictive approach (vol 71, pg 298, 2011). Correction

    Frieboes, H. B., Chaplain, M. A. J., Thompson, A. M., Bearer, E. L., Lowengrub, J. S. & Cristini, V. 1 Mar 2011 In : Cancer Research. 71, 5, p. 2024-2024 1 p.

    Research output: Contribution to journalArticle

  147. A spatio-temporal model of notch signalling in the zebrafish segmentation clock: conditions for synchronised oscillatory dynamics

    Terry, A. J., Sturrock, M., Dale, J. K., Maroto, M. & Chaplain, M. A. J. 28 Feb 2011 In : PLoS ONE. 6, 2, p. - 18 p., e16980

    Research output: Contribution to journalArticle

  148. Physical oncology: a bench-to-bedside quantitative and predictive approach

    Frieboes, H. B., Chaplain, M. A. J., Thompson, A. M., Bearer, E. L., Lowengrub, J. S. & Cristini, V. 15 Jan 2011 In : Cancer Research. 71, 2, p. 298-302 5 p.

    Research output: Contribution to journalScientific review

  149. Dynamics of braided coronal loops: II. Cascade to multiple small-scale reconnection events

    Pontin, D. I., Wilmot-Smith, A. L., Hornig, G. & Galsgaard, K. Jan 2011 In : Astronomy and Astrophysics. 525, 12 p., A57

    Research output: Contribution to journalArticle

  150. Interactions Between the Immune System and Cancer: A Brief Review of Non-spatial Mathematical Models

    Eftimie, R., Bramson, J. L. & Earn, D. J. D. Jan 2011 In : Bulletin of Mathematical Biology. 73, 1, p. 2-32 31 p.

    Research output: Contribution to journalScientific review

  151. Analysis for Time Discrete Approximations of Blow-up Solutions of Semilinear Parabolic Equations

    Kyza, I. & Makridakis, C. 2011 In : SIAM Journal on Numerical Analysis. 49, 1, p. 405-426 22 p.

    Research output: Contribution to journalArticle

  152. Comparing a discrete and continuum model of the intestinal crypt

    Murray, P. J., Walter, A., Fletcher, A. G., Edwards, C. M., Tindall, M. J. & Maini, P. K. 2011 In : Physical Biology. 8, 2, 026011

    Research output: Contribution to journalArticle

  153. FGF and retinoic acid activity gradients control the timing of neural crest cell emigration in the trunk

    Martinez-Morales, P. L., Diez del Corral, R., Olivera-Martinez, I., Quiroga, A. C., Das, R. M., Barbas, J. A., Storey, K. G. & Morales, A. V. 2011 In : Journal of Cell Biology. 194, 3, p. 489-503 15 p.

    Research output: Contribution to journalArticle

  154. Multiscale cancer modeling

    Deisboeck, T. S., Wang, Z., Macklin, P. & Cristini, V. 2011 Annual review of biomedical engineering. Palo Alto: Annual Reviews, Vol. 13, p. 127-155 29 p.

    Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

  155. Quantifying the role of angiogenesis in malignant progression of gliomas: In Silico modeling integrates imaging and histology

    Swanson, K. R., Rockne, R. C., Alvord Jr., E. C., Claridge, . J., Chaplain, M. A. & Anderson, A. R. A. 2011 In : Cancer Research. 71, 24, p. 7366-7375 10 p.

    Research output: Contribution to journalArticle

  156. Derivation of a macroscopic model for nutrient uptake by hairy-roots

    Ptashnyk, M. Dec 2010 In : Nonlinear Analysis: Real World Applications. 11, 6, p. 4586-4596 11 p.

    Research output: Contribution to journalArticle

  157. Homogenization of long-range auxin transport in plant tissues

    Chavarría-Krauser, A. & Ptashnyk, M. Dec 2010 In : Nonlinear Analysis: Real World Applications. 11, 6, p. 4524-4532 9 p.

    Research output: Contribution to journalArticle

  158. Quantitative modeling of tumor dynamics and radiotherapy

    Enderling, H., Chaplain, M. A. J. & Hahnfeldt, P. Dec 2010 In : Acta Biotheoretica. 58, 4, p. 341-353 13 p.

    Research output: Contribution to journalArticle

  159. An investigation of a nonlocal hyperbolic model for self-organization of biological groups

    Fetecau, R. C. & Eftimie, R. Oct 2010 In : Journal of Mathematical Biology. 61, 4, p. 545-579 35 p.

    Research output: Contribution to journalArticle

  160. Topological constraints on magnetic relaxation

    Yeates, A. R., Hornig, G. & Wilmot-Smith, A. L. 20 Aug 2010 In : Physical Review Letters. 105, 8, 4 p., 085002

    Research output: Contribution to journalArticle

  161. Modeling anti-tumor Th1 and Th2 immunity in the rejection of melanoma

    Eftimie, R., Bramson, J. L. & Earn, D. J. D. 7 Aug 2010 In : Journal of Theoretical Biology. 265, 3, p. 467-480 14 p.

    Research output: Contribution to journalArticle

  162. An integrated pharmacokinetic-pharmacodynamic model for an Aurora kinase inhibitor

    Kamei, H., Jackson, R. C., Zheleva, D. & Davidson, F. A. Aug 2010 In : Journal of Pharmacokinetics and Pharmacodynamics. 37, 4, p. 407-434 28 p.

    Research output: Contribution to journalArticle

  163. Modeling gastrulation in the chick embryo: formation of the primitive streak

    Vasiev, B., Balter, A., Chaplain, M., Glazier, J. A. & Weijer, C. J. 11 May 2010 In : PLoS ONE. 5, 5, p. - 14 p., e10571

    Research output: Contribution to journalArticle

  164. Binary separation and training support vector machines

    Fletcher, R. & Zanghirati, G. May 2010 In : Acta Numerica. 19, p. 121-158 38 p.

    Research output: Contribution to journalArticle

  165. Methylation of H3K4 is required for inheritance of active transcriptional states

    Muramoto, T., Mueller, I., Thomas, G., Melvin, A. & Chubb, J. R. 9 Mar 2010 In : Current Biology. 20, 5, p. 397-406 10 p.

    Research output: Contribution to journalArticle

  166. Modelling contact spread of infection in host-parasitoid systems: Vertical transmission of pathogens can cause chaos

    Preedy, K. F., Schofield, P. G., Liu, S., Matzavinos, A., Chaplain, M. A. J. & Hubbard, S. F. 7 Feb 2010 In : Journal of Theoretical Biology. 262, 3, p. 441-451 11 p.

    Research output: Contribution to journalArticle

  167. A dynamic model of nutrient uptake by root hairs

    Leitner, D., Klepsch, S., Schnepf, A., Ptashnyk, M., Marchant, A., Kirk, G. J. D. & Roose, T. 1 Feb 2010 In : New Phytologist. 185, 3, p. 792-802 11 p.

    Research output: Contribution to journalArticle

  168. Adaptive time-stepping for incompressible flow. Part II: Navier-Stokes equations

    Kay, D. A., Gresho, P. M., Griffiths, D. & Silvester, D. J. Feb 2010 In : SIAM Journal on Scientific Computing. 32, 1, p. 111-128 18 p.

    Research output: Contribution to journalArticle

  169. A blueprint for polarised growth

    Davidson, F. 2010 In : Microbiology Today. 34, p. 34-37 4 p.

    Research output: Contribution to journalArticle

  170. A pharmacodynamic model of Aurora kinase inhibitors in the spindle assembly checkpoint

    Mistry, H. B., MacCallum, D. E., Jackson, R. C., Chaplain, M. A. J. & Davidson, F. A. 2010 In : Frontiers in Bioscience. 15, 1, p. 249-258 10 p.

    Research output: Contribution to journalArticle

  171. Agent-based cell modeling: application to breast cancer

    Macklin, P. & Edgerton, M. E. 2010 Multiscale modeling of cancer: an integrated experimental and mathematical modeling approach. Cristini, V. & Lowengrub, J. (eds.). Cambridge University Press, p. 206-234 29 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  172. Agent-based modeling of ductal carcinoma in situ: application to patient-specific breast cancer modeling

    Macklin, P., Kim, J., Tomaiuolo, G., Edgerton, M. E. & Cristini, V. 2010 Computational biology: issues and applications in oncology. Pham, T. (ed.). Springer , p. 77-111 35 p. (Applied bioinformatics and biostatistics in cancer research; no. 77(3))

    Research output: Chapter in Book/Report/Conference proceedingChapter

  173. Biological background

    Cristini, V., Lowengrub, J. & Macklin, P. 2010 Multiscale modeling of cancer: an integrated experimental and mathematical modeling approach. Cambridge University Press, p. 8-23 16 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  174. Discrete cell modelling

    Macklin, P., Edgerton, M. E., Lowengrub, J. S. & Cristini, V. 2010 Multiscale modeling of cancer: an integrated experimental and mathematical modeling approach. Cristini, V. & Lowengrub, J. (eds.). Cambridge University Press, p. 88-122 35 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  175. Dynamics of braided coronal loops: I. Onset of magnetic reconnection

    Wilmot-Smith, A. L., Pontin, D. I. & Hornig, G. 2010 In : Astronomy and Astrophysics. 516, p. - 9 p., A5

    Research output: Contribution to journalArticle

  176. Error estimate of the P-1 nonconforming finite element method for the penalized unsteady Navier-Stokes equations

    Lu, X. & Lin, P. 2010 In : Numerische Mathematik. 115, 2, p. 261-287 27 p.

    Research output: Contribution to journalArticle

  177. Investigation of trigger mechanism in the explosive nonlinear growth of the double tearing mode

    JANVIER, M., KISHIMOTO, Y. & LI, J. 2010 In : Plasma and Fusion Research. 5, p. S2056-1 -S2056-4 4 p.

    Research output: Contribution to journalArticle

  178. Magnetic reconnection at 3D null points: effect of magnetic field asymmetry

    Al-Hachami, A. & Pontin, D. I. 2010 In : Astronomy and Astrophysics. 512, A84

    Research output: Contribution to journalArticle

  179. Mechanism of structure-driven nonlinear instability of double tearing mode in reversed magnetic shear plasmas

    JANVIER, M., KISHIMOTO, Y. & LI, J. 2010 In : Plasma and Fusion Research. 5, p. 038-1 - 038-3 3 p.

    Research output: Contribution to journalArticle

  180. Modelling spatially regulated beta-catenin dynamics and invasion in intestinal crypts

    Murray, P. J., Kang, J-W., Mirams, G. R., Shin, S-Y., Byrne, H. M., Maini, P. K. & Cho, K-H. 2010 In : Biophysical Journal. 99, 3, p. 716-725 10 p.

    Research output: Contribution to journalArticle

  181. Modelling the Impact of Pericyte Migration and Coverage of Vessels on the Efficacy of Vascular Disrupting Agents

    McDougall, S. R., Chaplain, M. A. J., Stephanou, A. & Anderson, A. R. A. 2010 In : Mathematical Modelling of Natural Phenomena. 5, 1, p. 163-202 40 p.

    Research output: Contribution to journalArticle

  182. Nonlinear modelling of cancer: bridging the gap between cells and tumours

    Lowengrub, J. S., Frieboes, H. B., Jin, F., Chuang, Y-L., Li, X., Macklin, P., Wise, S. M. & Cristini, V. 2010 In : Nonlinearity. 23, 1, p. R1-R91

    Research output: Contribution to journalArticle

  183. Notes on configurational thermostat schemes

    Samoletov, A. A., Dettmann, C. P. & Chaplain, M. A. J. 2010 In : Journal of Chemical Physics. 132, 24, p. - 2 p., 246101

    Research output: Contribution to journalArticle

  184. The sequential quadratic programming method

    Fletcher, R. 2010 Nonlinear optimization. Morel, J-M., Takens, F. & Teissier, B. (eds.). Berlin: Springer , p. 165-214 50 p. (Lecture notes in mathematics; vol. 1989)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  185. Travelling waves in near-degenerate bistable competition models

    Alzahrani, E. O., Davidson, F. A. & Dodds, N. 2010 In : Mathematical Modelling of Natural Phenomena. 5, 5, p. 13-35 23 p.

    Research output: Contribution to journalArticle

  186. Three-dimensional null point reconnection regimes

    Priest, E. R. & Pontin, D. I. Dec 2009 In : Physics of Plasmas. 16, 12, 15 p., 122101

    Research output: Contribution to journalArticle

  187. Paradoxical dependencies of tumor dormancy and progression on basic cell kinetics

    Enderling, H., Anderson, A. R. A., Chaplain, M. A. J., Beheshti, A., Hlatky, L. & Hahnfeldt, P. 15 Nov 2009 In : Cancer Research. 69, 22, p. 8814-8821 8 p.

    Research output: Contribution to journalArticle

  188. Magnetic braiding and quasi-separatrix layers

    Wilmot-Smith, A. L., Hornig, G. & Pontin, D. I. 20 Oct 2009 In : Astrophysical Journal. 704, 2, p. 1288-1295 8 p.

    Research output: Contribution to journalArticle

  189. An involute spiral that matches G2 Hermite data in the plane

    Goodman, T. N. T., Meek, D. S. & Walton, D. J. Oct 2009 In : Computer Aided Geometric Design. 26, 7, p. 733-756 24 p.

    Research output: Contribution to journalArticle

  190. Finite frequency zonal flows in multi-scale plasma turbulence including resistive MHD and drift wave instabilities

    Li, J., Kishimoto, Y., Kouduki, Y., Wang, Z. X. & Janvier, M. Sep 2009 In : Nuclear Fusion. 49, 9, 8 p., 095007

    Research output: Contribution to journalArticle

  191. On immunotherapies and cancer vaccination protocols: a mathematical modelling approach

    Joshi, B., Wang, X., Banerjee, S., Tian, H., Matzavinos, A. & Chaplain, M. A. J. 21 Aug 2009 In : Journal of Theoretical Biology. 259, 4, p. 820-827 8 p.

    Research output: Contribution to journalArticle

  192. Lagrangian relaxation schemes for calculating force-free magnetic fields and their limitations

    Pontin, D. I., Hornig, G., Wilmot-Smith, A. L. & Craig, I. J. D. 1 Aug 2009 In : Astrophysical Journal. 700, 2, p. 1449-1455 7 p.

    Research output: Contribution to journalArticle

  193. On the solutions of three-dimensional non-null magnetic reconnection

    Al-Salti, N. & Hornig, G. Aug 2009 In : Physics of Plasmas. 16, 8, 14 p., 082101

    Research output: Contribution to journalArticle

  194. Weakly nonlinear analysis of a hyperbolic model for animal group formation

    Eftimie, R., de Vries, G. & Lewis, M. A. Jul 2009 In : Journal of Mathematical Biology. 59, 1, p. 37-74 38 p.

    Research output: Contribution to journalArticle

  195. Magnetic braiding and parallel electric fields

    Wilmot-Smith, A. L., Hornig, G. & Pontin, D. I. 10 May 2009 In : Astrophysical Journal. 696, 2, p. 1339-1347 9 p.

    Research output: Contribution to journalArticle

  196. 3rd theme issue on Computational Biology - Computational Oncology. Preface

    Chaplain, M. Apr 2009 In : Journal of Mathematical Biology. 58, 4-5, p. 481-483 3 p.

    Research output: Contribution to journalEditorial

  197. Microenvironment driven invasion: A multiscale multimodel investigation

    Anderson, A. R. A., Rejniak, K. A., Gerlee, P. & Quaranta, V. Apr 2009 In : Journal of Mathematical Biology. 58, 4-5, p. 579-624 46 p.

    Research output: Contribution to journalArticle

  198. Multiscale modelling and nonlinear simulation of vascular tumour growth

    Macklin, P., McDougall, S., Anderson, A. R. A., Chaplain, M. A. J., Cristini, V. & Lowengrub, J. Apr 2009 In : Journal of Mathematical Biology. 58, 4-5, p. 765-798 34 p.

    Research output: Contribution to journalArticle

  199. Insulin resistance in polycystic ovary syndrome is associated with defective regulation of ERK1/2 by insulin in skeletal muscle in vivo

    Rajkhowa, M., Brett, S., Cuthbertson, D. J., Lipina, C., Ruiz-Alcaraz, A. J., Thomas, G. E., Logie, L., Petrie, J. R. & Sutherland, C. 15 Mar 2009 In : Biochemical Journal. 418, p. 665-671 7 p.

    Research output: Contribution to journalArticle

  200. Multi-scale modelling of cancer cell intravasation: the role of cadherins in metastasis

    Ramis-Conde, I., Chaplain, M. A. J., Anderson, A. R. A. & Drasdo, D. Mar 2009 In : Physical Biology. 6, 1, p. - 12 p., 016008

    Research output: Contribution to journalArticle

  201. Mathematical modelling of cancer invasion of tissue: the role and effect of nonlocal interactions

    Szymanska, Z., Rodrigo, C. M., Lachowicz, M. & Chaplain, M. A. J. Feb 2009 In : Mathematical Models and Methods in Applied Sciences. 19, 2, p. 257-281 25 p.

    Research output: Contribution to journalArticle

  202. Simulations of growth of DCIS parameterized from IHC

    Edgerton, M. E., Chuang, Y-L., Macklin, P. T., Kim, J., Tomaiuolo, G., Broom, A. D., Sanga, S. & Cristini, V. Jan 2009 In : Modern Pathology. 22, Suppl. 1, p. 37A-38A 2 p., 157

    Research output: Contribution to journalMeeting abstract

  203. A model to predict the proliferation index of ductal carcinoma in situ

    Kasi Loknath Kumar, A. K., Chuang, Y-L., Macklin, P., Sanga, S., Kim, J., Tomaiuolo, G., Cristini, V. & Edgerton, M. 2009 p. Abstract 2444 1 p.

    Research output: Contribution to conferenceAbstract

  204. A three-stage operator-splitting/finite element method for the numerical simulation of liquid crystal flow

    Glowinski, R., Lin, P. & Pan, X-B. 2009 In : International Journal of Numerical Analysis and Modeling. 6, 3, p. 440-454 15 p.

    Research output: Contribution to journalArticle

  205. Approaches to modelling mineral weathering by fungi

    Rosling, A., Roose, T., Herrmann, A. M., Davidson, F. A., Finlay, R. D. & Gadd, G. M. 2009 In : Fungal Biology Reviews. 23, 4, p. 138-144 7 p.

    Research output: Contribution to journalArticle

  206. Constructing tight frames of multivariate functions

    Goh, S. S., Goodman, T. N. T. & Lee, S. L. 2009 In : Journal of Approximation Theory. 158, 1, p. 49-68 20 p.

    Research output: Contribution to journalArticle

  207. Convexity preserving scattered data interpolation using Powell-Sabin elements

    Carnicer, J. M., Goodman, T. N. T. & Pena, J. M. 2009 In : Computer Aided Geometric Design. 26, 7, p. 779-796 18 p.

    Research output: Contribution to journalArticle

  208. Dynamic non-null magnetic reconnection in three dimensions II: composite solutions

    Wilmot-Smith, A. L., Hornig, G. & Priest, E. R. 2009 In : Geophysical & Astrophysical Fluid Dynamics. 103, 6, p. 515-534 20 p.

    Research output: Contribution to journalArticle

  209. Dynamics and waves near multiple magnetic null points in reconnection diffusion region

    Pontin, D. I. & 26 others Deng, X. H., Zhou, M., Li, S. Y., Baumjohann, W., Andre, M., Cornilleau, N., Santolik, O., Reme, H., Lucek, E., Fazakerley, A. N., Decreau, P., Daly, P., Nakamura, R., Tang, R. X., Hu, Y. H., Pang, Y., Buechner, J., Zhao, H., Vaivads, A., Pickett, J. S., Ng, C. S., Lin, X., Fu, S., Yuan, Z. G., Su, Z. W. & Wang, J. F. 2009 In : Journal of Geophysical Research: Space Physics. 114, A7, p. - 7 p., A07216

    Research output: Contribution to journalArticle

  210. From a discrete to a continuum model of cell dynamics in one dimension

    Murray, P. J., Edwards, C. M., Tindall, M. J. & Maini, P. K. 2009 In : Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 80, 3, p. 1-10 10 p., 031912

    Research output: Contribution to journalArticle

  211. Interface problems and methods in biological and physical flows

    Khoo, B. C. (ed.), Li, Z. (ed.) & Lin, P. (ed.) 2009 World Scientific Publishing.

    Research output: Book/ReportBook

  212. Research-teaching linkages: enhancing graduate attributes. Information and mathematical sciences

    Hughes, J., Gregor, P., Chaplain, M., Coleman, G. & McIver, L. 2009 Quality Assurance Agency for Higher Education.

    Research output: Book/ReportCommissioned report

  213. Spatio-temporal modelling of the p53-mdm2 oscillatory system

    Gordon, K. E., Van Leeuwen, I. M. M., Lain, S. & Chaplain, M. A. J. 2009 In : Mathematical Modelling of Natural Phenomena. 4, 3, p. 97-116 20 p.

    Research output: Contribution to journalArticle

  214. The Local $L^2$ Projected $C^0$ Finite Element Method for Maxwell Problem

    Duan, H-Y., Jia, F., Lin, P. & Tan, R. C. E. 2009 In : SIAM Journal on Numerical Analysis. 47, 2, p. 1274-1303 30 p.

    Research output: Contribution to journalArticle

  215. Thin trading, market efficiency tests and the Nigerian stock market

    Tijjani, B., Brown, R., Fifield, S. & Power, D. 2009 In : Journal of Emerging Markets. 14, 3, p. 7-19 13 p.

    Research output: Contribution to journalArticle

  216. Using mathematical models to understand the time dependence of the growth of ductal carcinoma in situ

    Edgerton, M. E., Chuang, Y., Macklin, P. T., Sanga, S., Kim, J., Tomaiuolo, G., Yang, W., Broom, A., Do, K. & Cristini, V. 2009 In : Cancer Research. 69, 2, Suppl. 2, p. 156S 1 p., 1165

    Research output: Contribution to journalMeeting abstract

  217. Modeling the temporal evolution of the spindle assembly checkpoint and role of Aurora B kinase

    Mistry, H. B., MacCallum, D. E., Jackson, R. C., Chaplain, M. A. J. & Davidson, F. A. 23 Dec 2008 In : Proceedings of the National Academy of Sciences USA. 105, 51, p. 20215-20220 6 p.

    Research output: Contribution to journalArticle

  218. Theoretical and mathematical ecology

    Davidson, F. A. Nov 2008 In : Fungal Ecology. 1, p. 107-107 1 p.

    Research output: Contribution to journalEditorial

  219. A computational model of cell migration coupling the growth of focal adhesions with oscillatory cell protrusions

    Stephanou, A., Mylona, E., Chaplain, M. & Tracqui, P. 21 Aug 2008 In : Journal of Theoretical Biology. 253, 4, p. 701-716 16 p.

    Research output: Contribution to journalArticle

  220. Modeling the Influence of the E-Cadherin-β-Catenin Pathway in Cancer Cell Invasion: a multiscale approach

    Ramis-Conde, I., Drasdo, D., Anderson, A. R. A. & Chaplain, M. A. J. 1 Jul 2008 In : Biophysical Journal. 95, 1, p. 155-165 11 p.

    Research output: Contribution to journalArticle

  221. Modelling interactions in fungi

    Falconer, R. E., Bown, J. L., White, N. A. & Crawford, J. W. 6 Jun 2008 In : Journal of the Royal Society Interface. 5, 23, p. 603-15 13 p.

    Research output: Contribution to journalArticle

  222. Free and forced motion in an asymmetric liquid-column oscillator

    Smith, M. J., Kobine, J. J. & Davidson, F. A. 8 Apr 2008 In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 464, 2092, p. 905-922 18 p.

    Research output: Contribution to journalArticle

  223. Numerical simulation of 3D bubbles rising in viscous liquids using a front tracking method

    Hua, J., Stene, J. F. & Lin, P. 1 Mar 2008 In : Journal of Computational Physics. 227, 6, p. 3358-3382 25 p.

    Research output: Contribution to journalArticle

  224. Further spectral properties of uniformly elliptic operators that include a non-local term

    Dodds, N. Mar 2008 In : Applied Mathematics and Computation. 197, 1, p. 317-327 11 p.

    Research output: Contribution to journalArticle

  225. Integrative mathematical oncology

    Anderson, A. R. A. & Quaranta, V. Mar 2008 In : Nature Reviews Cancer. 8, 3, p. 227-234 8 p.

    Research output: Contribution to journalArticle

  226. Mathematical modelling of cancer cell invasion of tissue

    Ramis-Conde, I., Chaplain, M. A. J. & Anderson, A. R. A. Mar 2008 In : Mathematical and Computer Modelling. 47, 5-6, p. 533-545 13 p.

    Research output: Contribution to journalArticle

  227. Oscillations and bistability in the dynamics of cytotoxic reactions mediated by the response of immune cells to solid tumours

    Lejeune, O., Chaplain, M. A. J. & El Akili, I. Mar 2008 In : Mathematical and Computer Modelling. 47, 5-6, p. 649-662 14 p.

    Research output: Contribution to journalArticle

  228. A hybrid cellular automaton model of clonal evolution in cancer: the emergence of the glycolytic phenotype

    Gerlee, P. & Anderson, A. R. A. 21 Feb 2008 In : Journal of Theoretical Biology. 250, 4, p. 705-22 18 p.

    Research output: Contribution to journalArticle

  229. Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion

    Gerisch, A. & Chaplain, M. A. J. 21 Feb 2008 In : Journal of Theoretical Biology. 250, 4, p. 684-704 21 p.

    Research output: Contribution to journalArticle

  230. Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion

    Gerisch, A. & Chaplain, M. A. J. 21 Feb 2008 In : Journal of Theoretical Biology. 250, 4, p. 684-704 21 p.

    Research output: Contribution to journalArticle

  231. Derivation of a macroscopic receptor-based model using homogenization techniques

    Marciniak-Czochra, A. & Ptashnyk, M. 1 Jan 2008 In : SIAM Journal on Mathematical Analysis. 40, 1, p. 215-237 23 p.

    Research output: Contribution to journalArticle

  232. A new ghost cell/level set method for moving boundary problems: application to tumor growth

    Macklin, P. & Lowengrub, J. S. 2008 In : Journal of Scientific Computing. 35, 2, p. 266-299 34 p.

    Research output: Contribution to journalArticle

  233. A pharmacodynamic model of the spindle assembly checkpoint and the action of the aurora kinase inhibitors

    Mistry, H., Davidson, F., Chaplain, M. & Jackson, R. 2008 p. 1642

    Research output: Contribution to conferenceAbstract

  234. Adaptive time-stepping for incompressible flow part I: scalar advection-diffusion

    Gresho, P. M., Silvester, D. J. & Griffiths, D. 2008 In : SIAM Journal on Scientific Computing. 30, 4, p. 2018-2054 37 p.

    Research output: Contribution to journalArticle

  235. Analysis of a sequential regularization method for the unsteady Navier-Stokes equations

    Lu, X., Lin, P. & Liu, J-G. 2008 In : Mathematics of Computation. 77, 263, p. 1476-1494 19 p.

    Research output: Contribution to journalArticle

  236. Analytic and experimental studies of the errors in numerical methods for the valuation of options

    Lin, P., Miller, J. J. H. & Shishkin, G. I. 2008 In : Numerical Mathematics: Theory, Methods and Applications. 1, 2, p. 150-164 15 p.

    Research output: Contribution to journalArticle

  237. Long time numerical solution of the Navier-Stokes equations based on a sequential regularization formulation

    Lin, P., Liu, J-G. & Lu, X. 2008 In : SIAM Journal on Scientific Computing. 31, 1, p. 398-419 22 p.

    Research output: Contribution to journalArticle

  238. Modelling aspects of cancer growth: insight from mathematical and numerical analysis and computational simulation

    Chaplain, M. A. J. 2008 Multiscale problems in the life sciences: from microscopic to macroscopic. Capasso, V. & Lachowicz, M. (eds.). Berlin: Springer , Vol. 19405, p. 147-200 54 p. (Lecture notes in mathematics; no. 1940)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  239. Modelling in vitro growth of dense root networks

    Bastian, P., Chavarría-Krauser, . A., Engwer, C., Jäger, W., Marnach, S. & Ptashnyk, M. 2008 In : Journal of Theoretical Biology. 254, 1, p. 99-109 11 p.

    Research output: Contribution to journalArticle

  240. Moving interface problems and applications in fluid dynamics

    Khoo, B. C. (ed.), Li, Z. (ed.) & Lin, P. (ed.) 2008 American Mathematical Society. (Contemporary Mathematics; vol. 466)

    Research output: Book/ReportBook

  241. Nonlinear modeling and simulation of tumor growth

    Cristini, V., Frieboes, H. B., Li, X., Lowengrub, J. S., Macklin, P., Sanga, S., Wise, S. M. & Zheng, X. 2008 Selected topics in cancer modeling: genesis, evolution, immune competition, and therapy. Bellomo, N., Chaplain, M. & De Angelis, E. (eds.). Springer , p. 113-182 70 p. (Modeling and simulation in science, engineering and technology)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  242. Numerical simulation of gas bubbles rising in viscous liquids at high Reynolds number

    Hua, J., Stene, J. F. & Lin, P. 2008 Moving Interface Problems and Applications in Fluid Dynamics. Khoo, B. C., Li, Z. & Lin, P. (eds.). American Mathematical Society, (Contemporary mathematics; vol. 466)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  243. Performance evaluation of the cell-based algorithms for domain decomposition in flow simulation

    Wang, J., Zhang, X., Bengough, A. G. & Crawford, J. W. 2008 In : International Journal of Numerical Methods for Heat & Fluid Flow. 18, 5-6, p. 656-672 17 p.

    Research output: Contribution to journalArticle

  244. Roundoff errors for polynomial evaluation by a family of formulae

    Carnicer, J. M., Goodman, T. N. T. & Pena, J. M. 2008 In : Computing. 82, 2-3, p. 199-215 17 p.

    Research output: Contribution to journalArticle

  245. Scaling of rotation and momentum confinement in JET plasmas

    Vries, P. C. D., Hua, M-D., McDonald, D. C., Giroud, C., Janvier, M., Johnson, M. F., Tala, T., Zastrow, K-D. & Contributors, J. E. T. E. F. D. A. 2008 In : Nuclear Fusion. 48, 6, p. 065006 1 p.

    Research output: Contribution to journalArticle

  246. Selected topics in cancer modeling: genesis, evolution, immune competition, and therapy

    Bellomo, N. (ed.), Chaplain, M. (ed.) & de Angelis, E. (ed.) 2008 Springer . (Modeling and simulation in science, engineering and technology)

    Research output: Book/ReportBook

  247. Spectral properties and nodal solutions for second-order, m-point, p-Laplacian boundary value problems

    Dodds, N. & Rynne, B. P. 2008 In : Topological Methods in Nonlinear Analysis. 32, 1, p. 21-40 20 p.

    Research output: Contribution to journalArticle

  248. Theoretical and mathematical ecology (Editorial)

    Davidson, F. A. 2008 In : Fungal Ecology. 1, 4, p. 107 1 p.

    Research output: Contribution to journalArticle

  249. Pseudoparabolic equations with convection

    Ptashnyk, M. 1 Dec 2007 In : IMA Journal of Applied Mathematics. 72, 6, p. 912-922 11 p.

    Research output: Contribution to journalArticle

  250. An energy law preserving C0 finite element scheme for simulating the kinematic effects in liquid crystal flow dynamics

    Lin, P., Liu, C. & Zhang, H. Dec 2007 In : Journal of Computational Physics. 227, 2, p. 1411-1427 17 p.

    Research output: Contribution to journalArticle

  251. A primal-dual active-set method for non-negativity constrained total variation deblurring problems

    Krishnan, D., Lin, P. & Yip, A. M. Nov 2007 In : IEEE Transactions on Image Processing. 16, 11, p. 2766-2777 12 p.

    Research output: Contribution to journalArticle

  252. Modelling nematode movement using time-fractional dynamics

    Hapca, S., Crawford, J. W., MacMillan, K., Wilson, M. J. & Young, I. M. 7 Sep 2007 In : Journal of Theoretical Biology. 248, 1, p. 212-24 13 p.

    Research output: Contribution to journalArticle

  253. Thermostats for "Slow" Configurational Modes

    Samoletov, A. A., Dettman, C. P. & Chaplain, M. A. J. Sep 2007 In : Journal of Statistical Physics. 128, 6, p. 1321-1336 16 p.

    Research output: Contribution to journalArticle

  254. An adaptive homotopy multi-grid method for molecule orientations of high dimensional liquid crystals

    Lin, P. & Richter, T. Aug 2007 In : Journal of Computational Physics. 225, 2, p. 2069-2082 14 p.

    Research output: Contribution to journalArticle

  255. An immersed boundary framework for modelling the growth of individual cells: an application to the early tumour development

    Rejniak, K. A. 7 Jul 2007 In : Journal of Theoretical Biology. 247, 1, p. 186-204 19 p.

    Research output: Contribution to journalArticle

  256. An evolutionary hybrid cellular automaton model of solid tumour growth

    Gerlee, P. & Anderson, A. R. A. . S. 21 Jun 2007 In : Journal of Theoretical Biology. 246, 4, p. 583-603 21 p.

    Research output: Contribution to journalArticle

  257. Numerical solution of quenching problems using mesh-dependent variable temporal steps

    Liang, K. W., Lin, P. & Tan, R. C. E. May 2007 In : Applied Numerical Mathematics. 57, 5-7, p. 791-800 10 p.

    Research output: Contribution to journalArticle

  258. A least squares finite element method for the magnetostatic problem in a multiply-connected Lipschitz domain

    Duan, H-Y., Lin, P., Saikrishnan, P. & Tan, R. C. E. 2007 In : SIAM Journal on Numerical Analysis. 45, 6, p. 2537-2563 27 p.

    Research output: Contribution to journalArticle

  259. A mathematical model of breast cancer development, local treatment and recurrence

    Enderling, H., Chaplain, M. A. J., Anderson, A. R. A. & Vaidya, J. S. 2007 In : Journal of Theoretical Biology. 246, 2, p. 245-259 15 p.

    Research output: Contribution to journalArticle

  260. Berkeley Award Lecture: mathematical modelling of the form and function of fungal mycelia

    Davidson, F. A. 2007 Fungi in the environment. Gadd, G., Watkinson, S. C. & Dyer, P. S. (eds.). Cambridge University Press, p. 58-74 17 p. (British Mycological Society Symposia; no. 25)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  261. Chemotaxis-induced spatio-temporal heterogeneity in multi-species host-parasitoid systems

    Pearce, I. G., Chaplain, M. A. J., Schofield, P. G., Anderson, A. R. A. & Hubbard, S. F. 2007 In : Journal of Mathematical Biology. 55, 3, p. 365-388 24 p.

    Research output: Contribution to journalArticle

  262. Complex spatial group patterns result from different animal communication mechanisms

    Eftimie, R., de Vries, G. & Lewis, M. A. 2007 In : Proceedings of the National Academy of Sciences USA. 104, 17

    Research output: Contribution to journalArticle

  263. Computer simulation of glioma growth and morphology

    Frieboes, H. B., Lowengrub, J. S., Wise, S., Zheng, X., Macklin, P., Bearer, E. L. & Cristini, V. 2007 In : NeuroImage. 37, Supplement 1, p. S59-S70

    Research output: Contribution to journalArticle

  264. Current sheet formation and nonideal behavior at three-dimensional magnetic null points

    Pontin, D. I., Bhattacharjee, A. & Galsgaard, K. 2007 In : Physics of Plasmas. 14, 5, p. 052106 1 p.

    Research output: Contribution to journalArticle

  265. Current sheets at three-dimensional magnetic nulls: effect of compressibility

    Pontin, D. I., Bhattacharjee, A. & Galsgaard, K. 2007 In : Physics of Plasmas. 14, 5, p. 052109 1 p.

    Research output: Contribution to journalArticle

  266. Diffusion fronts in enzyme-catalysed reactions

    Boswell, G. P. & Davidson, F. A. 2007 In : Journal of Engineering Mathematics. 59, 2, p. 157-169 13 p.

    Research output: Contribution to journalArticle

  267. Disease induced dynamics in host-parasitoid systems: chaos and coexistence

    Preedy, K. F., Schofield, P. G., Chaplain, M. A. J. & Hubbard, S. F. 2007 In : Journal of the Royal Society Interface. 4, 14, p. 463-471 9 p.

    Research output: Contribution to journalArticle

  268. Effect of nutrient availability on hyphal maturation and topographical sensing in Aspergillus niger

    Bowen, A. D., Davidson, F. A., Keatch, R. & Gadd, G. M. 2007 In : Mycoscience. 48, 3, p. 145-151 7 p.

    Research output: Contribution to journalArticle

  269. Eigenfunction expansions in L2 spaces for boundary value problems on time-scales

    Davidson, F. A. & Rynne, B. P. 2007 In : Journal of Mathematical Analysis and Applications. 335, 2, p. 1038-1051 14 p.

    Research output: Contribution to journalArticle

  270. Flux tube disconnection - an example of 3D reconnection

    Wilmot-Smith, A. L. & Priest, E. R. 2007 In : Physics of Plasmas. 14, 10, p. 102903 1 p.

    Research output: Contribution to journalArticle

  271. Fundamental concepts

    Hornig, G. 2007 Reconnection of magnetic fields: magnetohydrodynamics and collisionless theory and observations. Birn, J. & Priest, E. (eds.). Cambridge: Cambridge University Press, p. 24-44 21 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  272. Image segmentation using some piecewise constant level set methods with MBO type of projection

    Tai, X-C., Christiansen, O., Lin, P. & SkjÆlaaen, I. 2007 In : International Journal of Computer Vision. 73, 1, p. 61-76 16 p.

    Research output: Contribution to journalArticle

  273. Incomplete Bessel Functions I

    Jones, D. S. 2007 In : Proceedings of the Edinburgh Mathematical Society. 50, p. 173-183 11 p.

    Research output: Contribution to journalArticle

  274. Magnetic reconnection in flux-tubes undergoing spinning footpoint motions

    Wilmot-Smith, A. L. & De Moortel, I. 2007 In : Astronomy and Astrophysics. 473, 2, p. 615-623 9 p.

    Research output: Contribution to journalArticle

  275. Mathematical modelling of mycelia: a question of scale

    Davidson, F. A. 2007 In : Fungal Biology Reviews. 21, 1, p. 30-41 12 p.

    Research output: Contribution to journalArticle

  276. Mathematical models of cancer growth and development

    Chaplain, M. A. J. 2007 The cancer handbook. Alison, M. R. (ed.). 2nd ed. Chichester: Wiley, p. 936-953 18 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  277. Modeling group formation and activity patterns in self-organizing populations

    Eftimie, R., de Vries, G., Lewis, M. A. & Lutscher, F. 2007 In : Bulletin of Mathematical Biology. 69, 5

    Research output: Contribution to journalArticle

  278. Moisture transport and diffusive instability during bread baking

    Huang, H., Lin, P. & Zhou, W. 2007 In : SIAM Journal on Applied Mathematics. 68, 1, p. 222-238 17 p.

    Research output: Contribution to journalArticle

  279. Multi-box splines

    Goodman, T. 2007 In : Constructive Approximation. 25, 3, p. 279-301 23 p.

    Research output: Contribution to journalArticle

  280. Nonlinear simulation of the effect of microenvironment on tumor growth

    Macklin, P. & Lowengrub, J. 2007 In : Journal of Theoretical Biology. 245, 4, p. 677-704 28 p.

    Research output: Contribution to journalArticle

  281. Properties of eigenfunctions of non-local operators

    Davidson, F. A. & Dodds, N. 2007 Proceedings of minisymposia and contributed talks of EQUADIFF-11: International conference on differential equations Czecho-Slovak series. Comenius University Press, p. 57-66

    Research output: Chapter in Book/Report/Conference proceedingChapter

  282. Self-adjoint boundary-value problems on time-scales

    Davidson, F. A. & Rynne, B. P. 2007 In : Electronic Journal of Differential Equations. 2007, 175, p. 1-10 10 p.

    Research output: Contribution to journalArticle

  283. Single-cell-based models in biology and medicine

    Anderson, A. R. A. (ed.), Chaplain, M. A. J. (ed.) & Rejniak, K. A. (ed.) 2007 Birkhauser. (Mathematics and Biosciences in Interaction)

    Research output: Book/ReportBook

  284. Stability analysis of a hybrid cellular automaton model of cell colony growth

    Gerlee, P. & Anderson, A. R. A. . S. 2007 In : Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 75, p. 051911

    Research output: Contribution to journalArticle

  285. The development of fungal networks in complex environments

    Boswell, G. P., Jacobs, H., Ritz, K., Gadd, G. M. & Davidson, F. A. 2007 In : Bulletin of Mathematical Biology. 69, 2, p. 605-634 30 p.

    Research output: Contribution to journalArticle

  286. Three-dimensional reconnection at magnetic null points

    Pontin, D. I. 2007 Reconnection of magnetic fields: magnetohydrodynamics and collisionless theory and observations. Birn, J. & Priest, E. (eds.). Cambridge University Press, p. 62-73 12 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  287. Three-dimensional reconnection in the absence of magnetic null points

    Hornig, G. 2007 Reconnection of magnetic fields: magnetohydrodynamics and collisionless theory and observations. Cambridge University Press, p. 45-61 17 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  288. A time delay model for solar and stellar dynamos

    Wilmot-Smith, A. L., Nandy, D., Hornig, G. & Martens, P. C. H. Nov 2006 In : Astrophysical Journal. 652, 1, p. 696-708 13 p.

    Research output: Contribution to journalArticle

  289. Impact of fungal and bacterial biocides on microbial induced water repellency in arable soil

    Feeney, D. S., Hallett, P. D., Rodger, S., Bengough, A. G., White, N. A. & Young, I. M. Nov 2006 In : Geoderma. 135, p. 72-80 9 p.

    Research output: Contribution to journalArticle

  290. Travelling wave and convergence in stage-structured reaction-diffusion competitive models with nonlocal delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. Nov 2006 In : Chaos, Solitons & Fractals. 30, 4, p. 974-992 19 p.

    Research output: Contribution to journalArticle

  291. Spectral properties of non-local uniformly-elliptic operators

    Davidson, F. A. & Dodds, N. Oct 2006 In : Electronic Journal of Differential Equations. 2006, 126, p. 1-15 15 p.

    Research output: Contribution to journalArticle

  292. Visualisation of the numerical solution of partial differential equation systems in three space dimensions and its importance for mathematical models in biology

    Enderling, H., Anderson, A. R. A., Chaplain, M. A. J. & Rowe, G. W. A. Oct 2006 In : Mathematical Biosciences and Engineering. 3, 4, p. 571-582 12 p.

    Research output: Contribution to journalArticle

  293. Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development

    Chaplain, M. A. J., Graziano, L. & Preziosi, L. Sep 2006 In : Mathematical Medicine and Biology: a Journal of the IMA. 23, 3, p. 197-229 33 p.

    Research output: Contribution to journalArticle

  294. A splitting moving mesh method for reaction-diffusion equations of quenching type

    Liang, K., Lin, P., Ong, M. T. & Tan, R. C. E. Jul 2006 In : Journal of Computational Physics. 215, 2, p. 757-777 21 p.

    Research output: Contribution to journalArticle

  295. Mathematical modelling of radiotherapy strategies for early breast cancer

    Enderling, H., Anderson, A. R. A., Chaplain, M. A. J., Munro, A. J. & Vaidya, J. S. Jul 2006 In : Journal of Theoretical Biology. 241, 1, p. 158-171 14 p.

    Research output: Contribution to journalArticle

  296. Simulations of singularity dynamics in liquid crystal flows: a C0 finite element approach

    Lin, P. & Liu, C. Jun 2006 In : Journal of Computational Physics. 215, 1, p. 348-362 15 p.

    Research output: Contribution to journalArticle

  297. Robust numerical methods for taxis-diffusion-reaction systems: applications to biomedical problems

    Gerisch, A. & Chaplain, M. A. J. Jan 2006 In : Mathematical and Computer Modelling. 43, 1-2, p. 49-75 27 p.

    Research output: Contribution to journalArticle

  298. A Lotka-Volterra type food chain model with stage structure and time delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2006 In : Journal of Mathematical Analysis and Applications. 315, 1, p. 90-105 16 p.

    Research output: Contribution to journalArticle

  299. A new low-rank quasi-Newton update scheme for nonlinear programming

    Fletcher, R. 2006 System modeling and optimization: proceedings of the 22nd IFIP TC7 Conference held from , July 18-22, 2005, Turin, Italy. Ceragioli, F., Dontchev, A., Furuta, H., Marti, K. & Pandolfi, L. (eds.). New York: Springer , p. 275-293 (IFIP Advances in Information and Communication Technology; no. 199)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  300. A novel “sandwich” assay for quantifying chemo-regulated cell migration within 3-dimensional matrices: Wound healing cytokines exhibit distinct motogenic activities compared to the transmembrane assay

    Schor, S. L., Ellis, I. R., Harada, K., Motegi, K., Anderson, S., Chaplain, M. A. J., Keatch, R. P. & Schor, A. M. 2006 In : Cell Motility and the Cytoskeleton. 63, 5, p. 287-300 14 p.

    Research output: Contribution to journalArticle

  301. An analysis of the distribution of extremes in indices of share returns in the US, UK and Japan from 1963 to 2000

    Brown, R., Sinclair, C. D., Power, D. M. & Gettinby, G. 2006 In : International Journal of Finance & Economics. 11, 2, p. 97-113 17 p.

    Research output: Contribution to journalArticle

  302. An efficient operator-splitting method for noise removal in images

    Krishnan, D., Lin, P. & Tai, X. C. 2006 In : Communications in Computational Physics. 1, 5, p. 847-858 12 p.

    Research output: Contribution to journalArticle

  303. An improved geometry-aware curvature discretization for level set methods: application to tumor growth

    Macklin, P. & Lowengrub, J. 2006 In : Journal of Computational Physics. 215, 2, p. 392-401 10 p.

    Research output: Contribution to journalArticle

  304. Assessing the impact of biological exudates associated with soil water repellency

    Feeney, D. S., Bengough, A. G., Hallett, P. D., Rodger, S., White, N. & Young, I. M. 2006 Soil management for sustainability. Horn, R., Fleige, H., Peth, S. & Peng, X. H. (eds.). Reiskirchen: CATENA VERLAG, p. 475-483 9 p. (Advances in geoecology; vol. 38)

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  305. Computing Helmert transformations

    Watson, A. 2006 In : Journal of Computational and Applied Mathematics. 197, 2, p. 387-394 8 p.

    Research output: Contribution to journalArticle

  306. Coronal magnetic topologies in a spherical geometry I. Two bipolar flux sources

    Maclean, R. C., Hornig, G., Priest, E. R. & Beveridge, C. 2006 In : Solar Physics. 235, 1 & 2, p. 259-280 22 p.

    Research output: Contribution to journalArticle

  307. Dynamic non-null magnetic reconnection in three dimensions I: particular solutions

    Wilmot-Smith, A., Hornig, G. & Priest, E. 2006 In : Proceedings of the Royal Society of London, Series A : Mathematical and Physical Sciences. 462, 2074, p. 2877-2895 19 p.

    Research output: Contribution to journalArticle

  308. Dynamic three-dimensional reconnection in a separator geometry with two null points

    Pontin, D. I. & Craig, I. J. D. 2006 In : Astrophysical Journal. 642, 1, p. 568-578 11 p.

    Research output: Contribution to journalArticle

  309. Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2006 In : Applied Mathematics and Computation. 176, 1, p. 388-401 14 p.

    Research output: Contribution to journalArticle

  310. L2-projected least-squares finite element methods for the Stokes equations

    Duan, H., Lin, P., Saikrishnan, P. & Tan, R. C. E. 2006 In : SIAM Journal on Numerical Analysis. 44, 2, p. 732-752 21 p.

    Research output: Contribution to journalArticle

  311. Mathematical modeling of tumor-induced angiogenesis

    Chaplain, M. A. J., McDougall, S. R. & Anderson, A. R. A. 2006 In : Annual Review of Biomedical Engineering. 8, p. 233-257 25 p.

    Research output: Contribution to journalArticle

  312. Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity

    Chaplain, M. A. J. & Lolas, G. 2006 In : Networks and Heterogeneous Media. 1, 3, p. 399-439 41 p.

    Research output: Contribution to journalArticle

  313. Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: clinical implications and therapeutic targeting strategies

    McDougall, S. R., Anderson, A. R. A. & Chaplain, M. A. J. 2006 In : Journal of Theoretical Biology. 241, 3, p. 564-589 26 p.

    Research output: Contribution to journalArticle

  314. Mathematical modelling of spatio-temporal phenomena in tumour immunology

    Chaplain, M. & Matzavinos, A. 2006 Tutorials in mathematical biosciences III: cell cycle, proliferation, and cancer. Friedman, A. (ed.). Berlin: Springer , p. 131-183 53 p. (Lecture notes in mathematics; vol. 1872)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  315. Mathematical modelling of the influence of blood rheological properties upon adaptive tumour-induced angiogenesis

    Stephanou, A., McDougall, S. R., Anderson, A. R. A. & Chaplain, M. A. J. 2006 In : Mathematical and Computer Modelling. 44, 1-2, p. 96-123 28 p.

    Research output: Contribution to journalArticle

  316. Modelling the spatio-temporal dynamics of multi-species host-parasitoid interactions: heterogeneous patterns and ecological implications

    Pearce, I. G., Chaplain, M. A. J., Schofield, P. G., Anderson, A. R. A. & Hubbard, S. F. 2006 In : Journal of Theoretical Biology. 241, 4, p. 876-886 11 p.

    Research output: Contribution to journalArticle

  317. Parabolic cylinder functions of large order

    Jones, D. S. 2006 In : Journal of Computational and Applied Mathematics. 190, 1-2, p. 453-469 17 p.

    Research output: Contribution to journalArticle

  318. Periodic solutions of a Lotka-Volterra type multi-species population model with time delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2006 In : Mathematische Nachrichten. 279, 8, p. 911-927 17 p.

    Research output: Contribution to journalArticle

  319. Spectral properties of non-local differential operators

    Davidson, F. A. & Dodds, N. 2006 In : Applicable Analysis. 85, 6-7, p. 717-734 18 p.

    Research output: Contribution to journalArticle

  320. The distribution of the extreme daily share returns in the Athens Stock Exchange

    Tolikas, K. & Brown, R. 2006 In : European Journal of Finance. 12, 1, p. 1-22 22 p.

    Research output: Contribution to journalArticle

  321. Tumor Morphology and Phenotypic Evolution Driven by Selective Pressure from the Microenvironment

    Anderson, A. R. A., Weaver, A. M., Cummings, P. T. & Quaranta, V. 2006 In : Cell. 127, 5, p. 905-915 11 p.

    Research output: Contribution to journalArticle

  322. Spike solutions of a nonlinear electric circuit with a periodic input

    Chow, S-N., Lin, P. & Shi, S. Dec 2005 In : Taiwanese Journal of Mathematics. 9, 4, p. 551-581 31 p.

    Research output: Contribution to journalArticle

  323. Root cap influences root colonisation by Pseudomonas fluorescens SBW25 on maize

    Humphris, S. N., Bengough, A. G., Griffiths, B. S., Kilham, K., Rodger, S., Stubbs, V., Valentine, T. A. & Young, I. M. Sep 2005 In : FEMS Microbiology Ecology. 54, 1, p. 123-130 8 p.

    Research output: Contribution to journalArticle

  324. A mass balance based numerical method for the fractional advection-dispersion equation: theory and application

    Zhang, X., Crawford, J. W., Deeks, L. K., Stutter, M. I., Bengough, A. G. & Young, I. M. 27 Jul 2005 In : Water Resources Research. 41, 7, p. - 11 p., W07029

    Research output: Contribution to journalArticle

  325. Decreased lung function in female but not male subjects with established cystic fibrosis-related diabetes

    Sims, E. J., Green, M. W. & Mehta, A. Jul 2005 In : Diabetes Care. 28, 7, p. 1581-1587 7 p.

    Research output: Contribution to journalArticle

  326. Domain-decomposition method for parallel lattice Boltzmann simulation of incompressible flow in porous media

    Wang, J., Zhang, X., Bengough, A. G. & Crawford, J. W. Jul 2005 In : Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 72, 1, p. - 11 p., 016706

    Research output: Contribution to journalArticle

  327. Determination of soil hydraulic conductivity with the lattice Boltzmann method and soil thin-section technique

    Zhang, X., Deeks, L. K., Bengough, A. G., Crawford, J. W. & Young, I. M. 9 May 2005 In : Journal of Hydrology. 306, 1-4, p. 59-70 12 p.

    Research output: Contribution to journalArticle

  328. Mathematical modelling of flow in 2D and 3D vascular networks: applications to anti-angiogenic and chemotherapeutic drug strategies

    Stephanou, A., McDougall, S. R., Anderson, A. R. A. & Chaplain, M. A. J. May 2005 In : Mathematical and Computer Modelling. 41, 10, p. 1137-1156 20 p.

    Research output: Contribution to journalArticle

  329. A fully magnetohydrodynamic simulation of three-dimensional non-null reconnection

    Pontin, D. I., Galsgaard, K., Hornig, G. & Priest, E. R. Apr 2005 In : Physics of Plasmas. 12, 5, p. 052307 1 p.

    Research output: Contribution to journalArticle

  330. Kinematic reconnection at a magnetic null point: fan-aligned current

    Pontin, D. I., Hornig, G. & Priest, E. R. Feb 2005 In : Geophysical & Astrophysical Fluid Dynamics. 99, 1, p. 77-93 17 p.

    Research output: Contribution to journalArticle

  331. A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion

    Anderson, A. R. A. 2005 In : Mathematical Medicine and Biology. 22, 2, p. 163-186 24 p.

    Research output: Contribution to journalArticle

  332. A splitting moving mesh method for 3-D quenching and blow-up problems

    Liang, K. & Lin, P. 2005 Recent advances in adaptive computation: proceedings of the International Conference on Recent Advances in Adaptive Computation, Hangzhou, China, May 24-28, 2004. Shi, Z-C., Chen, Z., Tang, T. & Yu, D. (eds.). American Mathematical Society, p. 311-324 14 p. (Contemporary mathematics; no. 383)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  333. An individual based model of rippling movement in a myxobacteria population

    Anderson, A. R. A. & Vasiev, B. N. 2005 In : Journal of Theoretical Biology. 234, 3, p. 341-349 9 p.

    Research output: Contribution to journalArticle

  334. Controlling beat phenomena in coupled systems using asymmetric tuned liquid column dampers

    Smith, M. J., Kobine, J. J. & Davidson, F. A. 2005 Fluid structure interaction and moving boundary problems. Chakrabarti, S. K., Hernandez, S. & Brebbia, C. A. (eds.). SOUTHAMPTON: WIT Press, Vol. 84, p. 457-464 8 p. (WIT TRANSACTIONS ON THE BUILT ENVIRONMENT; vol. 84)

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  335. Current singularities at finitely compressible three-dimensional magnetic null points

    Pontin, D. I. & Craig, I. J. D. 2005 In : Physics of Plasmas. 12, 7, 072112

    Research output: Contribution to journalArticle

  336. D'Arcy Thompson: nature and design through growth and form

    Chaplain, M. A. J. 2005 Nature and design. Collins, M. W., Atherton, M. A. & Bryant, J. A. (eds.). WIT Press, p. 85-93 9 p. (Design and nature; vol. 1)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  337. Dynamic heterogeneous spatio-temporal pattern formation in host-parasitoid systems with synchronised generations

    Schofield, P. G., Chaplain, M. A. J. & Hubbard, S. F. 2005 In : Journal of Mathematical Biology. 50, 5, p. 559-583 25 p.

    Research output: Contribution to journalArticle

  338. Evidence on the nature and extent of the relationship between oil prices and equity values in the UK

    El-Sharif, I., Brown, D., Burton, B., Nixon, B. & Russell, A. 2005 In : Energy Economics. 27, 6, p. 819-830 12 p.

    Research output: Contribution to journalArticle

  339. Evolution of searching and life history characteristics in individual-based models of host-parasitoid-microbe associations

    Schofield, P., Chaplain, M. & Hubbard, S. 2005 In : Journal of Theoretical Biology. 237, 1, p. 1-16 16 p.

    Research output: Contribution to journalArticle

  340. Evolving interfaces via gradients of geometry-dependent interior Poisson problems: application to tumor growth

    Macklin, P. & Lowengrub, J. 2005 In : Journal of Computational Physics. 203, 1, p. 191-220 30 p.

    Research output: Contribution to journalArticle

  341. Fitting parametric curves and surfaces by l∞ distance regression

    Watson, A. & Al-Subaihi, I. 2005 In : BIT Numerical Mathematics. 45, 3, p. 443-461 19 p.

    Research output: Contribution to journalArticle

  342. Global stability of a stage-structured predator-prey model with prey dispersal

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2005 In : Applied Mathematics and Computation. 171, 1, p. 293-314 22 p.

    Research output: Contribution to journalArticle

  343. Low-order stellar dynamo models

    Wilmot-Smith, A. L., Martens, P. C. H., Nandy, D., Priest, E. R. & Tobias, S. M. 2005 In : Physics of Plasmas. 363, 4, p. 1167-1172 6 p.

    Research output: Contribution to journalArticle

  344. Magnetic diffusion and the motion of field lines

    Wilmot-Smith, A. L., Priest, E. R. & Hornig, G. 2005 In : Geophysical & Astrophysical Fluid Dynamics. 99, 2, p. 177-197 21 p.

    Research output: Contribution to journalArticle

  345. Mathematical modelling of cancer cell invasion of tissue: the role of the urokinase plasminogen activation system

    Chaplain, M. A. J. & Lolas, G. 2005 In : Mathematical Models and Methods in Applied Sciences. 15, 11, p. 1685-1734 50 p.

    Research output: Contribution to journalArticle

  346. Modelling and analysis of a competitive model with stage structure

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2005 In : Mathematical and Computer Modelling. 41, 2-3, p. 159-175 17 p.

    Research output: Contribution to journalArticle

  347. On the asymptotic behaviour of some new gradient methods

    Fletcher, R. & Dai, Y-H. 2005 In : Mathematical Programming. 103, 3, p. 541-559 19 p.

    Research output: Contribution to journalArticle

  348. Periodic solutions for a predator-prey model with Holling-type functional response and time delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2005 In : Applied Mathematics and Computation. 161, 2, p. 637-654 18 p.

    Research output: Contribution to journalArticle

  349. Permanence and periodicity of a delayed ratio-dependent predator-prey model with stage structure

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2005 In : Journal of Mathematical Analysis and Applications. 303, 2, p. 602-621 20 p.

    Research output: Contribution to journalArticle

  350. The generalized Goodwin-Staton integral

    Jones, D. S. 2005 In : Journal of Engineering Mathematics. 48, 3, p. 635-650 16 p.

    Research output: Contribution to journalArticle

  351. Persistence and global stability of a ratio-dependent predator-prey model with stage structure

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. Nov 2004 In : Applied Mathematics and Computation. 158, 3, p. 729-744 16 p.

    Research output: Contribution to journalArticle

  352. Exact solutions for steady reconnective annihilation revisited

    Titov, V. S., Tassi, E. & Hornig, G. Oct 2004 In : Physics of Plasmas. 11, 10, p. 4662-4671 10 p.

    Research output: Contribution to journalArticle

  353. Kinematic reconnection at a magnetic null point: spine-aligned current

    Pontin, D. I., Hornig, G. & Priest, E. R. Oct 2004 In : Geophysical & Astrophysical Fluid Dynamics. 98, 5, p. 407-428 22 p.

    Research output: Contribution to journalArticle

  354. Global spatiotemporal order and induced stochastic resonance due to a locally applied signal

    Samoletov, A., Chaplain, M. & Levi, V. Apr 2004 In : Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 69, 4

    Research output: Contribution to journalArticle

  355. Translocation of carbon by Rhizoctonia solani in nutritionally-heterogeneous microcosms

    Jacobs, H., Boswell, G. P., Scrimgeour, C. M., Davidson, F. A., Gadd, G. M. & Ritz, K. Apr 2004 In : Mycological Research. 108, 4, p. 453-462 10 p.

    Research output: Contribution to journalArticle

  356. Persistence and stability of a stage-structured predator-prey model with time delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. Feb 2004 In : Applied Mathematics and Computation. 150, 1, p. 259-277 19 p.

    Research output: Contribution to journalArticle

  357. Link invariants of electromagnetic fields

    v. Bodecker, H. & Hornig, G. Jan 2004 In : Physical Review Letters. 92, 3, p. 030406 1 p.

    Research output: Contribution to journalArticle

  358. A mathematical model for the dynamics of large membrane deformations of isolated fibroblasts

    Stephanou, A., Chaplain, M. A. J. & Tracqui, P. 2004 In : Bulletin of Mathematical Biology. 66, 5, p. 1119-1154 36 p.

    Research output: Contribution to journalArticle

  359. An analysis of the distribution of extreme returns in the UK from 1975 to 2000

    Brown, R., Sinclair, C. D., Power, D. M. & Gettinby, G. 2004 In : Journal of Business Finance & Accounting. 31, 5 & 6, p. 607-646 40 p.

    Research output: Contribution to journalArticle

  360. An empirical study of activity-based systems in Ireland

    Brown, R. & Pierce, B. 2004 In : Irish Accounting Review. 11, 1, p. 33-55 23 p.

    Research output: Contribution to journalArticle

  361. An explicit subparametric spectral element method of lines applied to a tumour angiogenesis system of partial differential equations

    Valenciano, J. & Chaplain, M. A. J. 2004 In : Mathematical Models and Methods in Applied Sciences. 14, 2, p. 165-187 23 p.

    Research output: Contribution to journalArticle

  362. Asymptotic normality of scaling functions

    Goodman, T., Chen, L. H. Y. & Lee, S. L. 2004 In : Applied and Computational Harmonic Analysis. 36, 1, p. 323-346 24 p.

    Research output: Contribution to journalArticle

  363. Finite element methods based on a new formulation for the non-stationary incompressible Navier-Stokes equations

    Lin, P., Chen, X. & Ong, M. T. 2004 In : International Journal for Numerical Methods in Fluids. 46, 12, p. 1169-1180 12 p.

    Research output: Contribution to journalArticle

  364. Global asymptotic stability of periodic solution for a cooperative system with time delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2004 In : Indian Journal of Pure and Applied Mathematics. 35, 7, p. 915-936 22 p.

    Research output: Contribution to journalArticle

  365. Global stability of a Lotka-Volterra type predator-prey model with stage structure and time delay

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2004 In : Applied Mathematics and Computation. 159, 3, p. 863-880 18 p.

    Research output: Contribution to journalArticle

  366. Kinematic magnetic reconnection at 3D null points

    Pontin, D. I., Hornig, G. & Priest, E. R. 2004 Proceedings of the SOHO 15 Workshop, Coronal Heating, 6-9 September 2004, St Andrews, Scotland. Walsh, R. W., Ireland, J., Danesy, D. & Fleck, B. (eds.).

    Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

  367. Magnetic reconnection

    Priest, E. R. & Pontin, D. I. 2004 The sun and the heliosphere as an integrated system. Poletto, G. & Suess, S. T. (eds.). Dordrecht: Kluwer Academic, p. 397-422 24 p. (Astrophysics and space science library; vol. 317)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  368. Mathematical modeling of tumour-induced angiogenesis: network growth and structure

    Chaplain, M. & Anderson, A. 2004 Angiogenesis in brain tumors. Kirsch, M. & Black, P. M. (eds.). Boston ; London: Kluwer Academic, p. 51-75 25 p. (Cancer treatment and research; no. 117)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  369. Mathematical modelling of the spatio-temporal response of cytotoxic T-lymphocytes to a solid tumour

    Matzavinos, A., Chaplain, M. A. J. & Kuznetsov, V. A. 2004 In : Mathematical Medicine and Biology. 21, 1, p. 1-34 34 p.

    Research output: Contribution to journalArticle

  370. Periodic solution for a three-species Lotka-Volterra food-chain model with time delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2004 In : Mathematical and Computer Modelling. 40, 7-8, p. 823-837 15 p.

    Research output: Contribution to journalArticle

  371. Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2004 In : Applied Mathematics and Computation. 148, 2, p. 537-560 24 p.

    Research output: Contribution to journalArticle

  372. Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2004 In : Nonlinear Analysis: Real World Applications. 5, 1, p. 183-206 24 p.

    Research output: Contribution to journalArticle

  373. Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2004 In : Discrete and Continuous Dynamical Systems: Series B. 4, 3, p. 823-831 9 p.

    Research output: Contribution to journalArticle

  374. Periodic solutions of a discrete time three-species Lotka-Volterra food-chain system

    Xu, R., Davidson, F. & Chaplain, M. A. J. 2004 In : Nonlinear Functional Analysis and Applications. 9, 3, p. 429-440 12 p.

    Research output: Contribution to journalArticle

  375. Periodic solutions of a predator-prey model with stage structure for predator

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2004 In : Applied Mathematics and Computation. 154, 3, p. 847-870 24 p.

    Research output: Contribution to journalArticle

  376. Persistence and global stability in a delayed predator-prey system with Holling-type functional response

    Xu, R., Chen, L. & Chaplain, M. A. J. 2004 In : ANZIAM Journal. 46, 1, p. 121-141 21 p.

    Research output: Contribution to journalArticle

  377. Persistence and periodicity of a delayed ratio-dependent predator-prey model with stage structure and prey dispersal

    Chaplain, M. A. J., Xu, R. & Davidson, F. A. 2004 In : Applied Mathematics and Computation. 159, 3, p. 823-846 24 p.

    Research output: Contribution to journalArticle

  378. Quasi-steady state assumptions for non-isolated enzyme-catalyzed reactions

    Stoleriu, I., Davidson, F. A. & Liu, J. L. 2004 In : Journal of Mathematical Biology. 48, 1, p. 82-104 23 p.

    Research output: Contribution to journalArticle

  379. Robust solutions to a general class of approximation problems

    Watson, A. 2004 In : SIAM Journal on Scientific Computing. 25, 4, p. 1448-1460 13 p.

    Research output: Contribution to journalArticle

  380. Spatial variation of effective porosity and its implications for discharge in an upland headwater catchment in Scotland

    Deeks, L. K., Bengough, A. G., Low, D., Billett, M. F., Zhang, X., Crawford, J. W., Chessell, J. M. & Young, I. M. 2004 In : Journal of Hydrology. 290, 3-4, p. 217-228 12 p.

    Research output: Contribution to journalArticle

  381. Travelling wave analysis of a model of the immune response to cancer

    Matzavinos, A. & Chaplain, M. A. J. 2004 In : Comptes Rendus Biologies. 327, 11

    Research output: Contribution to journalArticle

  382. Uncertainty principles and asymptotic behavior

    Goodman, T. & Goh, S. S. 2004 In : Applied and Computational Harmonic Analysis. 16, 1, p. 19-43 25 p.

    Research output: Contribution to journalArticle

  383. Does the presence of detached root border cells of Zea mays alter the activity of the pathogenic nematode Meloidogyne incognita?

    Rodger, S., Bengough, A. G., Griffiths, B. S., Stubbs, V. & Young, I. M. Sep 2003 In : Phytopathology. 93, 9, p. 1111-1114 4 p.

    Research output: Contribution to journalArticle

  384. Opposing FGF and retinoid pathways control ventral neural pattern, neuronal differentiation, and segmentation during body axis extension

    Diez del Corral, R., Olivera-Martinez, I., Goriely, A., Gale, E., Maden, M. & Storey, K. Sep 2003 In : Neuron. 40, 1, p. 65-79 15 p.

    Research output: Contribution to journalArticle

  385. Evolution of magnetic flux in an isolated reconnection process

    Hornig, G. & Priest, E. Jul 2003 In : Physics of Plasmas. 10, 7, p. 2712-2721 10 p.

    Research output: Contribution to journalArticle

  386. On the nature of three-dimensional magnetic reconnection

    Priest, E. R., Hornig, G. & Pontin, D. I. Jul 2003 In : Journal of Geophysical Research: Space Physics. 108, A7, p. 1285 1 p.

    Research output: Contribution to journalArticle

  387. A positive numerical scheme for a mixed-type partial differential equation model for fungal growth

    Boswell, G. P., Jacobs, H., Davidson, F. A., Gadd, G. M. & Ritz, K. 20 Jun 2003 In : Applied Mathematics and Computation. 138, 2-3, p. 321-340 20 p.

    Research output: Contribution to journalArticle

  388. A fully explicit method for incompressible flow computation

    Lin, P., Guo, Q. & Chen, X. Jun 2003 In : Computer Methods in Applied Mechanics and Engineering. 192, 22-24, p. 2555-2564 10 p.

    Research output: Contribution to journalArticle

  389. An operator-splitting method for a liquid crystal model

    Glowinski, R., Lin, P. & Pan, X-B. May 2003 In : Computer Physics Communications. 152, 3, p. 242-252 11 p.

    Research output: Contribution to journalArticle

  390. Growth and function of fungal mycelia in heterogeneous environments

    Boswell, G. P., Jacobs, H., Davidson, F. A., Gadd, G. M. & Ritz, K. May 2003 In : Bulletin of Mathematical Biology. 65, 3, p. 447-477 31 p.

    Research output: Contribution to journalArticle

  391. On the global convergence of an SLP-filter algorithm that takes EQP steps

    Chin, C. M. & Fletcher, R. Apr 2003 In : Mathematical Programming. 96, 1, p. 161-177 17 p.

    Research output: Contribution to journalArticle

  392. A framework for understanding the topology of complex coronal structures

    Pontin, D. I., Priest, E. R. & Longcope, D. W. Feb 2003 In : Solar Physics. 212, 2, p. 319-342 24 p.

    Research output: Contribution to journalArticle

  393. Plant roots release phospholipid surfactants that modify the physical and chemical properties of soil

    Read, D. B., Bengough, A. G., Gregory, P. J., Crawford, J. W., Robinson, D., Scrimgeour, C. M., Young, I. M., Zhang, K. & Zhang, X. Feb 2003 In : New Phytologist. 157, 2, p. 315-326 12 p.

    Research output: Contribution to journalArticle

  394. A class of orthogonal refinable functions and wavelets

    Goodman, T. 2003 In : Constructive Approximation. 19, 4, p. 525-540 16 p.

    Research output: Contribution to journalArticle

  395. Attractivity in a delayed three-species ratio-dependent predator-prey system without dominating instantaneous negative feedback

    Xu, R., Chen, L. & Chaplain, M. A. J. 2003 In : Acta Mathematicae Applicatae Sinica. 19, 2, p. 317-332 16 p.

    Research output: Contribution to journalArticle

  396. Computing highly accurate solutions of a tumour angiogenesis model

    Valenciano, J. & Chaplain, M. A. J. 2003 In : Mathematical Models and Methods in Applied Sciences. 13, 5, p. 747-766 20 p.

    Research output: Contribution to journalArticle

  397. Exact solutions for magnetic reconnective annihilation in curvilinear geometry

    Tassi, E., Titov, V. S. & Hornig, G. 2003

    Research output: Contribution to conferencePaper

  398. Exact solutions for reconnective annihilation in magnetic configurations with three sources

    Tassi, E., Titov, V. S. & Hornig, G. 2003 In : Physics of Plasmas. 10, 2, p. 448-453 6 p.

    Research output: Contribution to journalArticle

  399. Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with delays

    Rui, X., Lansun, C. & Chaplain, M. A. J. 2003 In : Acta Mathematica Scientia (Series B). 23, 2, p. 208-218 11 p.

    Research output: Contribution to journalArticle

  400. Mathematical modelling of solid tumour growth: applications of pre-pattern formation

    Chaplain, M. A. J., Ganesh, M., Graham, I. G. & Lolas, G. 2003 Morphogenesis and pattern formation in biological systems: experiments and models. Sekimura, T., Noji, S., Ueno, N. & Maini, P. K. (eds.). Tokyo: Springer , p. 283-294 12 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  401. Mathematical modelling of tissue invasion

    Chaplain, M. A. J. & Anderson, A. R. A. 2003 Cancer modelling and simulation. Preziosi, L. (ed.). Boca Raton: Chapman & Hall/CRC, p. 269-297 29 p. (Chapman & Hall/CRC mathematical biology and medicine series)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  402. New classes of exact solutions for magnetic reconnective annihilation

    Tassi, E., Titov, V. S. & Hornig, G. 2003 In : Physics Letters A. 315, 5, p. 382-388 7 p.

    Research output: Contribution to journalArticle

  403. Optimal airline booking control with cancellations

    Feng, Y., Lin, P. & Xiao, B. 2003 Stochastic modeling and optimization: with applications in queues, finance, and supply chains. Springer , p. 395-427 33 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  404. Polymer and cell dynamics: multiscale modelling and numerical simulations

    Alt, W., Chaplain, M. (ed.), Griebel, M. (ed.) & Lenz, J. (ed.) 2003 Birkhauser.

    Research output: Book/ReportBook

  405. Solving degenerate reaction-diffusion equations via variable step Peaceman-Rachford splitting

    Cheng, H., Lin, P., Sheng, Q. & Tan, R. C. E. 2003 In : SIAM Journal on Scientific Computing. 25, 4, p. 1273-1292 20 p.

    Research output: Contribution to journalArticle

  406. The numerical solution of a challenging class of turning point problems

    Lin, P. & O'Malley, R. E. 2003 In : SIAM Journal on Scientific Computing. 25, 3, p. 927-941 15 p.

    Research output: Contribution to journalArticle

  407. Theoretical and numerical analysis for the quasi-continuum approximation of a material particle model

    Lin, P. 2003 In : Mathematics of Computation. 72, 242, p. 657-675 19 p.

    Research output: Contribution to journalArticle

  408. Solubilization of metal phosphates by Rhizoctonia solani

    Jacobs, H., Boswell, G. P., Harper, F. A., Ritz, K., Davidson, F. A. & Gadd, G. M. Dec 2002 In : Mycological Research. 106, 12, p. 1468-1479 12 p.

    Research output: Contribution to journalArticle

  409. Exact solutions for magnetic annihilation in curvilinear geometry

    Tassi, E., Titov, V. S. & Hornig, G. Sep 2002 In : Physics Letters A. 302, 5-6, p. 313-317 5 p.

    Research output: Contribution to journalArticle

  410. Functional consequences of nutrient translocation in mycelial fungi

    Boswell, G. P., Jacobs, H., Davidson, F. A., Gadd, G. M. & Ritz, K. 21 Aug 2002 In : Journal of Theoretical Biology. 217, 4, p. 459-477 19 p.

    Research output: Contribution to journalArticle

  411. Global stability of the attracting set of an enzyme-catalysed reaction system

    Davidson, F. A. & Liu, J. 10 Aug 2002 In : Mathematical and Computer Modelling. 35, 13, p. 1467-1481 15 p.

    Research output: Contribution to journalArticle

  412. Persistence and global stability in a delayed predator-prey system with Michaelis-Menten type functional response

    Xu, R. & Chaplain, M. A. J. Aug 2002 In : Applied Mathematics and Computation. 130, 2-3, p. 441-455 15 p.

    Research output: Contribution to journalArticle

  413. The theory of magnetic connectivity in the solar corona

    Titov, V. S., Hornig, G. & Demoulin, P. Aug 2002 In : Journal of Geophysical Research: Space Physics. 107, A8, p. 1164-1177 14 p.

    Research output: Contribution to journalArticle

  414. Existence and uniqueness of limit cycles in an enzyme-catalysed reaction system

    Davidson, F. A., Xu, R. & Liu, J. 15 Apr 2002 In : Applied Mathematics and Computation. 127, 2-3, p. 165-179 15 p.

    Research output: Contribution to journalArticle

  415. Magnetic connectivity of coronal fields: geometrical versus topological description

    Titov, V. S. & Hornig, G. Apr 2002 In : Advances in Space Research. 29, 7, p. 1087-1092 6 p.

    Research output: Contribution to journalArticle

  416. Solubilization of calcium phosphate as a consequence of carbon translocation by Rhizoctonia solani

    Jacobs, H., Boswell, G. P., Ritz, K., Davidson, F. A. & Gadd, G. M. Apr 2002 In : FEMS Microbiology Ecology. 40, 1, p. 65-71 7 p.

    Research output: Contribution to journalArticle

  417. Numerical analysis of Biot's consolidation process by radial point interpolation method

    Wang, J. G., Liu, G. R. & Lin, P. Mar 2002 In : International Journal of Solids and Structures. 39, 6, p. 1557-1573 17 p.

    Research output: Contribution to journalArticle

  418. A mathematical analysis of a minimal model of nematode migration in soil

    Feltham, D. L., Chaplain, M., Young, I. M. & Crawford, J. W. 2002 In : Journal of Biological Systems. 10, 1, p. 15-32 18 p.

    Research output: Contribution to journalArticle

  419. A predicted sequential regularization method for index-2 Hessenberg DAEs

    Lin, P. & Spiteri, R. J. 2002 In : SIAM Journal on Numerical Analysis. 39, 6, p. 1889-1913 25 p.

    Research output: Contribution to journalArticle

  420. A third-order topological invariant for three magnetic fields

    Mayer, C. & Hornig, G. 2002 Tubes, sheets and singularities in fluid dynamics: proceedings of the NATO ARW, 2-7 September 2001, Zakopane, Poland. Bajer, K. & Moffatt, H. K. (eds.). Kluwer Academic, p. 151-156 6 p. (Fluid mechanics and its applications; no. 71(3))

    Research output: Chapter in Book/Report/Conference proceedingChapter

  421. Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays

    Xu, R., Chaplain, M. A. J. & Chen, L. 2002 In : Applied Mathematics and Computation. 130, 2, p. 295-309 15 p.

    Research output: Contribution to journalArticle

  422. Global bifurcation on time scales

    Davidson, F. A. & Rynne, B. P. 2002 In : Journal of Mathematical Analysis and Applications. 267, 1, p. 345-360 16 p.

    Research output: Contribution to journalArticle

  423. Mathematical modelling of flow through vascular networks: Implications for tumour-induced angiogenesis and chemotherapy strategies

    McDougall, S. R., Anderson, A. R. A., Chaplain, M. A. J. & Sherratt, J. A. 2002 In : Bulletin of Mathematical Biology. 64, 4, p. 673-702 30 p.

    Research output: Contribution to journalArticle

  424. Mathematical models in cancer research

    Chaplain, M. A. J. 2002 The cancer handbook. Alison, M. R. (ed.). Nature Publishing Group, p. 937-951 15 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  425. Nonlinear programming without a penalty function

    Fletcher, R. & Leyffer, S. 2002 In : Mathematical Programming. 91, 2, p. 239-269 31 p.

    Research output: Contribution to journalArticle

  426. Numerical solution of a virtual internal bond model for material fracture

    Lin, P. & Shu, C-W. 2002 In : Physica D: Nonlinear Phenomena. 167, 1-2, p. 101-121 21 p.

    Research output: Contribution to journalArticle

  427. On the Gauss-Newton method for L1 orthogonal distance regression

    Watson, A. 2002 In : IMA Journal of Numerical Analysis. 22, p. 345-357 13 p.

    Research output: Contribution to journalArticle

  428. On the global convergence of a filter-SQP algorithm

    Fletcher, R., Leyffer, S. & Toint, P. L. 2002 In : SIAM Journal on Optimization. 13, 1, p. 44-59 16 p.

    Research output: Contribution to journalArticle

  429. Persistence and stability for a two species ratio-dependent predator-prey system with distributed time delay

    Xu, R., Davidson, F. A. & Chaplain, M. A. J. 2002 In : Journal of Mathematical Analysis and Applications. 269, 1, p. 256-277 22 p.

    Research output: Contribution to journalArticle

  430. Persistence and stability in an N-species ratio-dependent predator-prey system with distributed time delays

    Xu, R. & Chaplain, M. A. J. 2002 In : Applied Mathematics and Computation. 131, 1, p. 59-80 22 p.

    Research output: Contribution to journalArticle

  431. Reconnection in magnetic and vorticity fields

    Hornig, G. 2002 Tubes, sheets and singularities in fluid dynamics: proceedings of the NATO ARW, 2-7 September 2001, Zakopane, Poland. Bajer, K. & Moffatt, H. K. (eds.). Kluwer Academic, p. 133-138 6 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  432. TE-impedance of a coated right-angled wedge

    Jones, D. S. 2002 In : Journal of Engineering Mathematics. 42, 2, p. 119-131 13 p.

    Research output: Contribution to journalArticle

  433. Towards a third-order topological invariant for magnetic fields

    Hornig, G. & Mayer, C. 2002 In : Journal of Physics A: Mathematical and General. 35, 17, p. 3945-3959 15 p.

    Research output: Contribution to journalArticle

  434. Travelling fronts in a food-limited population model with time delay

    Gourley, S. A. & Chaplain, M. A. J. 2002 In : Proceedings of the Royal Society of Edinburgh, Section A : Mathematics. 132A, 1, p. 75-89 15 p.

    Research output: Contribution to journalArticle

  435. A new mathematical model for avascular tumour growth

    Sherratt, J. A. & Chaplain, M. A. J. 2001 In : Journal of Mathematical Biology. 43, 4, p. 291-312 22 p.

    Research output: Contribution to journalArticle

  436. A positive splitting method for mixed hyperbolic-parabolic systems

    Gerisch, A., Griffiths, D. F., Weiner, R. & Chaplain, M. A. J. 2001 In : Numerical Methods for Partial Differential Equations. 17, 2, p. 152-168 17 p.

    Research output: Contribution to journalArticle

  437. An analysis of a mathematical model of trophoblast invasion

    Byrne, H. M., Chaplain, M. A. J., Pettet, G. J. & McElwain, D. L. S. 2001 In : Applied Mathematics Letters. 14, 8, p. 1005-1010 6 p.

    Research output: Contribution to journalArticle

  438. An Introduction to Matlab 6.1, August 2001

    Griffiths, D. & Carlsson, U. 2001 University of Dundee.

    Research output: Book/ReportOther report

  439. Differential elimination-completion algorithms for DAE and PDAE

    Reid, G. J., Lin, P. & Wittkopf, A. D. 2001 In : Studies in Applied Mathematics. 106, 1, p. 1-45 45 p.

    Research output: Contribution to journalArticle

  440. Equidistributing grids

    Higham, D. J., Ross, A. B. & Griffiths, D. 2001 Department of Mathematics, University of Dundee. (Technical report; no. NA/198)

    Research output: Book/ReportOther report

  441. Global asymptotic stability in a nonautonomous n-species Lotka-Volterra predator-prey system with infinite delays

    Rui, X., Chaplain, M. A. J. & Davidson, F. A. 2001 In : Applicable Analysis. 80, 1-2, p. 107-126 20 p.

    Research output: Contribution to journalArticle

  442. Global stability for a delayed ratio-dependent predator-prey system without dominating instantaneous negative feedbacks

    Xu, R., Chaplain, M. & Chen, L. 2001 In : Communications on Applied Nonlinear Analysis. 8, 4, p. 17-28 12 p.

    Research output: Contribution to journalArticle

  443. MacCormack's method for advection-reaction equations

    Griffiths, D. & Higham, D. J. 2001

    Research output: Other contribution

  444. Magnetic reconnection

    Schindler, K. & Hornig, G. 2001 Encyclopedia of astronomy and astrophysics. Murdin, P. (ed.). Bristol ; London: Institute of Physics Publishing ; Nature Publishing Group, p. 1517-1524 8 p.

    Research output: Chapter in Book/Report/Conference proceedingEntry for encyclopedia/dictionary

  445. Non-ideal MHD properties of magnetic flux tubes in the solar photosphere

    Kleimann, J. & Hornig, G. 2001 In : Solar Physics. 200, 1/2, p. 47-62 16 p.

    Research output: Contribution to journalArticle

  446. Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation

    Gourley, S. A., Chaplain, M. A. J. & Davidson, F. A. 2001 In : Dynamical Systems. 16, 2, p. 173-192 20 p.

    Research output: Contribution to journalArticle

  447. Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth

    Chaplain, M. A. J., Ganesh, M. & Graham, I. G. 2001 In : Journal of Mathematical Biology. 42, 5, p. 387-423 37 p.

    Research output: Contribution to journalArticle

  448. The effects of temporal delays in a model for a food-limited diffusing population

    Davidson, F. A. & Gourley, S. A. 2001 In : Journal of Mathematical Analysis and Applications. 261, 2, p. 633-648 16 p.

    Research output: Contribution to journalArticle

  449. The geometry of magnetic and vortex reconnection

    Hornig, G. 2001 Quantized vortex dynamics and superfluid turbulence. Barenghi, C. F., Donnelly, R. J. & Vinen, W. F. (eds.). Springer , p. 373-379 7 p. (Lecture Notes in Physics; vol. 571)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  450. The geometry of reconnection

    Hornig, G. 2001 An introduction to the geometry and topology of fluid flows. Ricca, R. L. (ed.). Kluwer Academic, p. 295-312 18 p. (Nato Science Series II: Mathematics, Physics and Chesmistry; vol. 47)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  451. Asymptotic oscillations of continua of positive solutions of a semilinear Sturm–Liouville problem

    Davidson, F. A. & Rynne, B. P. 15 Dec 2000 In : Journal of Mathematical Analysis and Applications. 252, 2, p. 617-630 14 p.

    Research output: Contribution to journalArticle

  452. Translocation induced outgrowth of fungi in nutrient-free environments

    Davidson, F. A. & Olsson, S. 7 Jul 2000 In : Journal of Theoretical Biology. 205, 1, p. 73-84 12 p.

    Research output: Contribution to journalArticle

  453. Stable reduced Hessian updates for indefinite quadratic programming

    Fletcher, R. 1 Apr 2000 In : Mathematical Programming. 87, 2, p. 251-264 14 p.

    Research output: Contribution to journalArticle

  454. A gradient-driven mathematical model of anti-angiogenesis

    Anderson, A. R. A., Chaplain, M. A. J., Garcia-Reimbert, C. & Vargas, C. A. 2000 In : Mathematical and Computer Modelling. 32, 10, p. 1141-1152 12 p.

    Research output: Contribution to journalArticle

  455. Analytical solutions of a minimal model of species migration in a bounded domain

    Feltham, D. L. & Chaplain, M. A. J. 2000 In : Journal of Mathematical Biology. 40, 4, p. 321-342 22 p.

    Research output: Contribution to journalArticle

  456. Apoptosis, proliferation, and angiogenesis in oral tissues.: Possible relevance to tumour progression

    Macluskey, M., Chandrachud, L. M., Pazouki, S., Green, M., Chisholm, D. M., Ogden, G. R., Schor, S. L. & Schor, A. M. 2000 In : Journal of Pathology. 191, 4, p. 368-375 8 p.

    Research output: Contribution to journalArticle

  457. Magnetohydrodynamic flows sustaining stationary magnetic nulls

    Titov, V. S. & Hornig, G. 2000 In : Physics of Plasmas. 7, 9, p. 3542-3550 9 p.

    Research output: Contribution to journalArticle

  458. Mathematical modelling of angiogenesis

    Chaplain, M. A. J. 2000 In : Journal of Neuro-Oncology. 50, 1-2, p. 37-51 15 p.

    Research output: Contribution to journalArticle

  459. Mathematical modelling of angiogenesis in wound healing: comparison of theory and experiment

    Byrne, H. M., Chaplain, M. A. J., Evans, D. L. & Hopkinson, I. 2000 In : Journal of Theoretical Medicine. 2, 3, p. 175-197 23 p.

    Research output: Contribution to journalArticle

  460. Mathematical modelling of tumour invasion and metastasis

    Anderson, A. R. A., Chaplain, M. A. J., Newman, E. L., Steele, R. J. C. & Thompson, A. M. 2000 In : Journal of Theoretical Medicine. 2, 2, p. 129-154 26 p.

    Research output: Contribution to journalArticle

  461. Modelling the effects of Paclitaxel and Cisplatin on breast and ovarian cancer

    Panetta, J. C., Chaplain, M. A. J. & Cameron, D. 2000 In : Journal of Theoretical Medicine. 3, 1, p. 11-23 13 p.

    Research output: Contribution to journalArticle

  462. Runge-Kutta solutions of a hyperbolic conservation law with source term

    Aves, M. A., Griffiths, D. & Higham, D. J. 2000 In : SIAM Journal on Scientific Computing. 22, 1, p. 20-38 19 p.

    Research output: Contribution to journalArticle

  463. Steady state solutions of a generic model for the formation of capillary networks

    Davidson, F. A., Anderson, A. R. A. & Chaplain, M. A. J. 2000 In : Applied Mathematics Letters. 13, 5, p. 127-132 6 p.

    Research output: Contribution to journalArticle

  464. The use of interprofessional peer examiners in an objective structured clinical examination: can dental students act as examiners?

    Ogden, G. R., Green, M. & Ker, J. S. 2000 In : British Dental Journal. 189, 3, p. 160-164 5 p.

    Research output: Contribution to journalArticle

  465. Theta method dynamics

    Barclay, G. J., Griffiths, D. & Higham, D. J. 2000 In : LMS Journal of Computation and Mathematics. 3, p. 27-43 17 p.

    Research output: Contribution to journalArticle

  466. Travelling waves in a model of species migration

    Feltham, D. L. & Chaplain, M. A. J. 2000 In : Applied Mathematics Letters. 13, 7, p. 67-73 7 p.

    Research output: Contribution to journalArticle

  467. Global secondary bifurcation in a non-linear boundary value problem

    Davidson, F. A. 1 Dec 1999 In : Journal of Mathematical Analysis and Applications. 240, 1, p. 80-91 12 p.

    Research output: Contribution to journalArticle

  468. Topological constraints on the relaxation of complex magnetic fields

    Hornig, G. Sep 1999

    Research output: Contribution to conferenceOther

  469. The association between epithelial proliferation and disease progression in the oral mucosa

    Macluskey, M., Ogden, G. R., Green, M., Chisholm, D. M., Schor, S. L. & Schor, A. M. Jul 1999 In : Oral Oncology. 35, 4, p. 409-14 6 p.

    Research output: Contribution to journalArticle

  470. A mathematical analysis of a model for capillary network formation in the absence of endothelial cell proliferation

    Sleeman, B. D., Anderson, A. R. A. & Chaplain, M. A. J. 1999 In : Applied Mathematics Letters. 12, 8, p. 121-127 7 p.

    Research output: Contribution to journalArticle

  471. A mathematical model of trophoblast invasion

    Byrne, H. M., Chaplain, M. A. J., Pettet, G. J. & McElwain, D. L. S. 1999 In : Journal of Theoretical Medicine. 1, 4, p. 275-286 12 p.

    Research output: Contribution to journalArticle

  472. Does breast cancer exist in a state of chaos?

    Baum, M., Chaplain, M. A. J., Anderson, A. R. A., Douek, M. & Vaidya, J. S. 1999 In : European Journal of Cancer. 35, 6, p. 886-891 6 p.

    Research output: Contribution to journalArticle

  473. Modelling the growth and form of capillary networks

    Chaplain, M. 1999 On growth and form: spatio-temporal pattern formation in biology. Chaplain, M. A. J., Singh, G. D. & McLachlan, J. C. (eds.). Chichester: Wiley, p. 225-250 26 p. (Wiley series in mathematical and computational biology)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  474. On growth and form: spatio-temporal pattern formation in biology

    Chaplain, M. A. J. (ed.), Singh, G. D. (ed.) & McLachlan, J. C. (ed.) 1999 Wiley.

    Research output: Book/ReportBook

  475. Quasi-separatrix layers: refined theory and its application to solar flares

    Titov, V. S., Demoulin, P. & Hornig, G. 1999 Magnetic fields and solar processes: proceedings of the 9th European Meeting on Solar Physics, 12-18 September 1999, Florence, Italy. Wilson, A. (ed.). ESA Publications Division

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  476. Runge-Kutta and MacCormack dynamics

    Griffiths, D. & Higham, D. J. 1999 University of Strathclyde, (in Proceedings of the 8th International Symposium on Computational Fluid Dynamics, Bremen, Sep. 1999)

    Research output: Working paper

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