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Mathematics

  1. Braided magnetic fields: equilibria, relaxation and heating

    Pontin, D. I., Candelaresi, S., Russell, A. J. B. & Hornig, G. May 2016 In : Plasma Physics and Controlled Fusion. 58, 5, 054008

    Research output: Contribution to journalArticle

  2. Generalized Darcy–Oseen resolvent problem

    Medková, D., Ptashnyk, M. & Varnhorn, W. 29 Mar 2016 In : Mathematical Models and Methods in Applied Sciences. 39, 6, p. 1621-1630 10 p.

    Research output: Contribution to journalArticle

  3. The re-polarisation of M2 and M1 macrophages and its role on cancer outcomes

    den Breems, N. Y. & Eftimie, R. 7 Feb 2016 In : Journal of Theoretical Biology. 390, p. 23-39 17 p.

    Research output: Contribution to journalArticle

  4. Periodic Homogenization and Material Symmetry in Linear Elasticity

    Ptashnyk, M. & Seguin, B. 4 Feb 2016 In : Journal of Elasticity. p. 1-17 17 p.

    Research output: Contribution to journalArticle

  5. Analysis of root growth from a phenotyping data set using a density-based model

    Kalogiros, D. I., Adu, M. O., White, P. J., Broadley, M. R., Draye, X., Ptashnyk, M., Bengough, A. G. & Dupuy, L. X. Feb 2016 In : Journal of Experimental Botany. 67, 4, p. 1045-1058 14 p.

    Research output: Contribution to journalArticle

  6. DNA double-strand break repair: a theoretical framework and its application

    Murray, P. J., Cornelissen, B., Vallis, K. A. & Chapman, S. J. Jan 2016 In : Journal of the Royal Society Interface. 13, 114

    Research output: Contribution to journalArticle

  7. Multiscale modelling of intestinal crypt organization and carcinogenesis

    Fletcher, A. G., Murray, P. J. & Maini, P. K. 15 Dec 2015 In : Mathematical Models and Methods in Applied Sciences. 25, 13, p. 2563-2585 23 p.

    Research output: Contribution to journalArticle

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

    Medková, D., Ptashnyk, M. & Varnhorn, W. 30 Nov 2015 In : Mathematical Methods in the Applied Sciences. 38, 17, p. 3968-3979 12 p.

    Research output: Contribution to journalArticle

  9. Global Hopf bifurcation in the ZIP regulatory system

    Claus, J., Ptashnyk, M., Bohmann, A. & Chavarría-Krauser, A. Oct 2015 In : Journal of Mathematical Biology. 71, 4, p. 795-816 22 p.

    Research output: Contribution to journalArticle

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

    Sturrock, M., Murray, P. J., Matzavinos, A. & Chaplain, M. A. J. Oct 2015 In : Journal of Mathematical Biology. 71, 4, p. 921-959 39 p.

    Research output: Contribution to journalArticle

  11. Symmetries and pattern formation in hyperbolic versus parabolic models of self-organised aggregation

    Buono, P-L. & Eftimie, R. Oct 2015 In : Journal of Mathematical Biology. 71, 4, p. 847-881 35 p.

    Research output: Contribution to journalArticle

  12. A balance of positive and negative regulators determines the pace of the segmentation clock

    Wiedermann, G., Bone, R. A., Silva, J. C., Bjorklund, M., Murray, P. J. & Dale, J. K. 10 Sep 2015 In : eLife. 4, 28 p., e05842

    Research output: Contribution to journalArticle

  13. 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

  14. Magnetic field relaxation and current sheets in an ideal plasma

    Candelaresi, S., Pontin, D. I. & Hornig, G. 1 Aug 2015 In : Astrophysical Journal. 808, 2, 8 p., 134

    Research output: Contribution to journalArticle

  15. 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

  16. 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

  17. From coronal observations to MHD simulations, the building blocks for 3D models of solar flares (Invited Review)

    Janvier, M., Aulanier, G. & Démoulin, P. 10 Jun 2015 In : Solar Physics. 710

    Research output: Contribution to journalArticle

  18. Physical role of topological constraints in localized magnetic relaxation

    Yeates, A. R., Russell, A. J. B. & Hornig, G. 3 Jun 2015 In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 471, 2178, 12 p., 20150012

    Research output: Contribution to journalArticle

  19. Multiscale modelling of cancer progression and treatment control: the role of intracellular heterogeneities in chemotherapy treatment

    Chaplain, M. A. J. & Powathil, G. G. Jun 2015 In : Biophysical Reviews and Letters. 10, 2, p. 97-114 18 p.

    Research output: Contribution to journalArticle

  20. Strong coronal channelling and interplanetary evolution of a solar storm up to Earth and Mars

    Mostl, C., Rollett, T., Frahm, R. A., Liu, Y. D., Long, D. M., Colaninno, R. C., Reiss, M. A., Temmer, M., Farrugia, C. J., Posner, A., Dumbovica, M., Janvier, M., Demoulin, P., Boakes, P., Devos, A., Kraaikamp, E., Mays, M. L. & Vršnak, B. 26 May 2015 In : Nature Communications. 6, 10 p., 7135

    Research output: Contribution to journalArticle

  21. 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

  22. 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

  23. Comparing generic models for interplanetary shocks and magnetic clouds axis configurations at 1 AU

    Janvier, M., Dasso, S., Démoulin, P., Masías-Meza, J. J. & Lugaz, N. May 2015 In : Journal of Geophysical Research: Space Physics. 120, 5, p. 3328-3349 22 p.

    Research output: Contribution to journalArticle

  24. 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

  25. 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

  26. A thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects

    Guo, Z. & Lin, P. Mar 2015 In : Journal of Fluid Mechanics. 766, p. 226-271

    Research output: Contribution to journalArticle

  27. 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

  28. 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

  29. 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

  30. 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

  31. 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

  32. 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

  33. 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, 30 p., e0114370

    Research output: Contribution to journalArticle

  34. A posteriori error control and adaptivity for Crank-Nicolson finite element approximations for the linear Schrödinger equation

    Katsaounis, T. & Kyza, I. Jan 2015 In : Numerische Mathematik. 129, 1, p. 55-90 36 p.

    Research output: Contribution to journalArticle

  35. Homogenization of oxygen transport in biological tissues

    Matzavinos, A. & Ptashnyk, M. 2015 In : Applicable Analysis. 95, 5, p. 1013-1049 37 p.

    Research output: Contribution to journalArticle

  36. 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

  37. 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, p. 795-802 8 p. (Lecture Notes in Computational Science and Engineering; vol. 103)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  38. 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

  39. 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

  40. 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

  41. 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

  42. 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

  43. 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

  44. 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

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

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

    Research output: Contribution to journalArticle

  46. 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

  47. 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

  48. 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

  49. 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

  50. 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

  51. 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

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

    Janvier, M., Aulanier, G., Bommier, V., Schmieder, B., Démoulin, P. & Pariat, E. 21 May 2014 In : Astrophysical Journal. 788, 1, 11 p., 60

    Research output: Contribution to journalArticle

  53. 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

  54. 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

  55. 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

  56. 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

  57. 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

  58. 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

  59. 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

  60. 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

  61. Perturbation solutions for asymmetric laminar flow in porous channel with expanding and contracting walls

    Zhang, Y., Lin, P. & Si, X. Feb 2014 In : Applied Mathematics and Mechanics. 35, 2, p. 203-220

    Research output: Contribution to journalArticle

  62. 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

  63. 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

  64. 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

  65. A DG approach to higher order ALE formulations in time

    Bonito, A., Kyza, I. & Nochetto, R. H. 2014 Recent developments in discontinuous Galerkin finite element methods for partial differential equations. Feng, X., Karakashian , O. & Xing, Y. (eds.). p. 223-258 36 p. (IMA volumes in mathematics and its applications; vol. 157)

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

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

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

    Research output: Contribution to journalArticle

  67. 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

  68. 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

  69. 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

  70. 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, Vol. 67, p. 45-53 9 p. (Springer Proceedings in Mathematics & Statistics; vol. 67)

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

  71. 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

  72. 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

  73. 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

  74. 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

  75. 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

  76. 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

  77. 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

  78. 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

  79. 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

  80. 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

  81. 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

  82. 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

  83. 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

  84. 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

  85. 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

  86. 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

  87. 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

  88. 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

  89. 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

  90. 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

  91. 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

  92. 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

  93. 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

  94. 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

  95. 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

  96. 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

  97. 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

  98. 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

  99. 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

  100. 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

  101. 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

  102. 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

  103. 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

  104. 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

  105. 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

  106. 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

  107. 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

  108. 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

  109. 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

  110. 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

  111. 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

  112. 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

  113. 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

  114. 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

  115. 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

  116. 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

  117. 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

  118. 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

  119. 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

  120. 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

  121. 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

  122. 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

  123. 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

  124. 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

  125. 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

  126. 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

  127. 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

  128. 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

  129. 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

  130. On the relaxation of braided magnetic fields

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

    Research output: Contribution to conferencePaper

  131. 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

  132. Preface

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

    Research output: Contribution to journalEditorial

  133. 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

  134. 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

  135. 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

  136. 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

  137. 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

  138. 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

  139. 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

  140. 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

  141. 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

  142. 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

  143. 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

  144. 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

  145. 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

  146. 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

  147. 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

  148. 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

  149. 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

  150. 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

  151. 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

  152. 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

  153. 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

  154. 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

  155. 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

  156. 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

  157. 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

  158. 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

  159. 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

  160. 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

  161. 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

  162. 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

  163. 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

  164. 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

  165. 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

  166. 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

  167. 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

  168. 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

  169. 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

  170. 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

  171. 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

  172. 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

  173. 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

  174. 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

  175. 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

  176. 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

  177. 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

  178. 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

  179. 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

  180. 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

  181. 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

  182. 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

  183. 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

  184. 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

  185. 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

  186. A blueprint for polarised growth

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

    Research output: Contribution to journalArticle

  187. 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

  188. 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

  189. 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

  190. 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

  191. 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

  192. 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

  193. 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

  194. 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

  195. 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

  196. Measurement at the field scale of soil δ13C and δ15N under improved grassland

    Dixon, E. R., Blackwell, M. S. A., Dhanoa, M. S., Berryman, Z., de la Fuente Martinez, N., Junquera, D., Martinez, A., Murray, P., Kemp, H. F., Meier-Augenstein, W., Duffy, A. & Bol, R. 2010 In : Rapid Communications in Mass Spectrometry. 24, 5, p. 511-518 8 p.

    Research output: Contribution to journalArticle

  197. 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

  198. 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

  199. 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

  200. 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

  201. 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

  202. 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

  203. 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

  204. 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

  205. 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

  206. The history and development of numerical analysis in Scotland: a personal perspective

    Watson, G. A. Nov 2009 The Birth of Numerical Analysis. p. 161-178 18 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

  207. 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

  208. 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

  209. 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

  210. 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

  211. 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

  212. 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

  213. 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

  214. 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

  215. 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

  216. 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

  217. 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

  218. 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

  219. 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

  220. 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

  221. 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

  222. 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

  223. 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

  224. 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

  225. 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

  226. 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

  227. 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

  228. 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

  229. 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

  230. 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

  231. 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

  232. 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

  233. 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

  234. 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

  235. 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

  236. Theoretical and mathematical ecology

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

    Research output: Contribution to journalEditorial

  237. 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

  238. 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

  239. 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

  240. 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

  241. 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

  242. 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

  243. 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

  244. 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

  245. 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

  246. 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

  247. 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

  248. 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

  249. 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

  250. 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

  251. 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

  252. 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

  253. 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

  254. 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

  255. 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

  256. 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

  257. 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

  258. 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

  259. 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

  260. 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

  261. 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

  262. 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

  263. 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

  264. 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

  265. 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

  266. Theoretical and mathematical ecology (Editorial)

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

    Research output: Contribution to journalArticle

  267. 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

  268. 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

  269. 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

  270. 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

  271. 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

  272. 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

  273. 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

  274. 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

  275. 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

  276. 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

  277. 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

  278. 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

  279. 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

  280. 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

  281. 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

  282. 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

  283. 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

  284. 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

  285. 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

  286. 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

  287. 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

  288. 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

  289. 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

  290. 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

  291. 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

  292. 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

  293. 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

  294. 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

  295. 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

  296. 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

  297. Multi-box splines

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

    Research output: Contribution to journalArticle

  298. 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

  299. 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

  300. 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

  301. 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

  302. 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

  303. 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

  304. 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

  305. 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

  306. 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

  307. 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

  308. 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

  309. 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

  310. 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

  311. 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

  312. 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

  313. 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

  314. 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

  315. 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

  316. 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

  317. 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

  318. 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

  319. 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

  320. 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

  321. 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

  322. 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

  323. 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

  324. 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

  325. 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

  326. 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

  327. 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

  328. 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

  329. 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

  330. 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

  331. 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

  332. 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

  333. 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

  334. 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

  335. 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

  336. 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

  337. 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

  338. 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

  339. 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

  340. 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

  341. 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

  342. 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

  343. 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

  344. 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

  345. 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

  346. 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

  347. 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

  348. 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

  349. 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

  350. 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

  351. 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

  352. 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

  353. 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

  354. 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

  355. 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

  356. 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

  357. 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

  358. 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

  359. 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

  360. 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

  361. 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

  362. 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

  363. 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

  364. 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

  365. 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

  366. 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

  367. 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

  368. 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

  369. 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

  370. 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

  371. 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

  372. 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

  373. 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

  374. 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

  375. 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

  376. 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

  377. 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

  378. 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

  379. 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

  380. 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

  381. 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

  382. 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

  383. 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

  384. 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

  385. 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

  386. 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

  387. 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

  388. 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

  389. 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

  390. 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

  391. 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

  392. 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

  393. 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

  394. 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

  395. 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

  396. 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

  397. 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

  398. 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

  399. 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

  400. 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

  401. 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

  402. 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

  403. 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

  404. 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

  405. 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

  406. 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

  407. 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

  408. 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

  409. 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

  410. 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

  411. 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

  412. 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

  413. Exact solutions for magnetic reconnective annihilation in curvilinear geometry

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

    Research output: Contribution to conferencePaper

  414. 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

  415. 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

  416. 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

  417. 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

  418. 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

  419. 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

  420. 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

  421. 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

  422. 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

  423. 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

  424. 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

  425. 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

  426. 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

  427. 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

  428. 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

  429. 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

  430. 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

  431. 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

  432. 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

  433. 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

  434. 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

  435. 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

  436. 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

  437. 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

  438. 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

  439. 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

  440. 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

  441. 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

  442. 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

  443. 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

  444. 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

  445. 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

  446. 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

  447. 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

  448. 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

  449. 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

  450. 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

  451. 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

  452. 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

  453. An Introduction to Matlab 6.1, August 2001

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

    Research output: Book/ReportOther report

  454. 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

  455. 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

  456. 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

  457. 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

  458. MacCormack's method for advection-reaction equations

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

    Research output: Other contribution

  459. 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

  460. 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

  461. 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

  462. 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

  463. 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

  464. 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

  465. 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

  466. 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

  467. 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

  468. 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

  469. 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

  470. 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

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