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  1. 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

  2. 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

  3. 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

  4. 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. 2014 In : Journal of Investigative Dermatology.

    Research output: Contribution to journalArticle

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. Unique topological characterization of braided magnetic fields

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

    Research output: Contribution to journalArticle

  17. 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

  18. 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

  19. 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

  20. 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

  21. 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

  22. 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

  23. 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

  24. 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

  25. 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

  26. 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

  27. 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

  28. 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

  29. 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

  30. 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

  31. 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

  32. 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

  33. 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

  34. 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

  35. 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

  36. 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

  37. 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

  38. 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

  39. 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

  40. 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

  41. 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

  42. 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

  43. 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

  44. 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

  45. 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

  46. 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

  47. 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

  48. 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

  49. 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

  50. 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

  51. 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

  52. 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

  53. 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

  54. 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

  55. Hyperbolic and kinetic models for self-organized biological aggregations and movement: a brief review

    Eftimie, R. 2012 In : Journal of Mathematical Biology. 65, 1, p. 35-75 41 p.

    Research output: Contribution to journalScientific review

  56. 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

  57. 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

  58. 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

  59. 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

  60. Preface

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

    Research output: Contribution to journalEditorial

  61. 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

  62. 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

  63. 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

  64. 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

  65. 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

  66. 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

  67. 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

  68. 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

  69. 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

  70. 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

  71. 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

  72. 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

  73. 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

  74. 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

  75. 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

  76. 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

  77. 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

  78. 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

  79. 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

  80. 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

  81. 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

  82. 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

  83. 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

  84. 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

  85. 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

  86. 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

  87. 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

  88. 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

  89. 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

  90. 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

  91. 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

  92. 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

  93. A posteriori error analysis for the Crank-Nicolson method for linear Schrödinger equations

    Kyza, I. 2011 In : Esaim: Mathematical Modelling and Numerical Analysis. 45, 4, p. 761-778 18 p.

    Research output: Contribution to journalArticle

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

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

    Research output: Contribution to journalArticle

  95. 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

  96. 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

  97. 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

  98. 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

  99. 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

  100. 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

  101. 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

  102. 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

  103. 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

  104. 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

  105. 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

  106. 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

  107. 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

  108. 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

  109. 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

  110. 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

  111. 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

  112. 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

  113. A blueprint for polarised growth

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

    Research output: Contribution to journalArticle

  114. 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

  115. 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

  116. 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; 77(3)).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  117. 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

  118. 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

  119. 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

  120. 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

  121. 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

  122. 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

  123. 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

  124. 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

  125. 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

  126. 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

  127. 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).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  128. 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

  129. 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

  130. 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

  131. 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

  132. 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

  133. 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

  134. 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

  135. 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

  136. 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

  137. 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

  138. 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

  139. 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

  140. 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

  141. 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

  142. 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

  143. 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

  144. 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

  145. 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

  146. 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

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

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

    Research output: Contribution to journalArticle

  148. An asymptotic fitting finite element method with exponential mesh refinement for accurate computation of corner eddies in viscous flows

    Shapeev, A. V. & Lin, P. 2009 In : SIAM Journal on Scientific Computing. 31, 3, p. 1874-1900 27 p.

    Research output: Contribution to journalArticle

  149. 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

  150. 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

  151. 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

  152. 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

  153. 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

  154. 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

  155. 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

  156. 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

  157. 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

  158. 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

  159. 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

  160. 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

  161. 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

  162. Theoretical and mathematical ecology

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

    Research output: Contribution to journalEditorial

  163. 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

  164. 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

  165. 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

  166. 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

  167. 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

  168. 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

  169. 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

  170. 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

  171. 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

  172. 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

  173. 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

  174. A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow

    Chen, G., Li, Z. & Lin, P. 2008 In : Advances in Computational Mathematics. 29, 2, p. 113-133 21 p.

    Research output: Contribution to journalArticle

  175. 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

  176. 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

  177. 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

  178. 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

  179. 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

  180. 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

  181. 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; 1940).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  182. 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

  183. Moving interface problems and applications in fluid dynamics

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

    Research output: Book/ReportBook

  184. 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

  185. 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).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  186. 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

  187. 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

  188. 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

  189. 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

  190. 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

  191. Theoretical and mathematical ecology (Editorial)

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

    Research output: Contribution to journalArticle

  192. 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

  193. 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

  194. 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

  195. 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

  196. 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

  197. 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

  198. 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

  199. 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

  200. 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

  201. 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

  202. 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; 25).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  203. 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

  204. 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

  205. 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

  206. Convergence analysis of a quasi-continuum approximation for a two-dimensional material without defects

    Lin, P. 2007 In : SIAM Journal on Numerical Analysis. 45, 1, p. 313-332 20 p.

    Research output: Contribution to journalArticle

  207. 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

  208. 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

  209. 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

  210. 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

  211. 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

  212. 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

  213. 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

  214. 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

  215. 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

  216. 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

  217. 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

  218. 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

  219. 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

  220. 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

  221. 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

  222. Multi-box splines

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

    Research output: Contribution to journalArticle

  223. 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

  224. Numerical studies of a coarse-grained approximation for dynamics of an atomic chain

    Lin, P. & Plechac, P. 2007 In : International Journal for Multiscale Computational Engineering. 5, 5, p. 351-367 17 p.

    Research output: Contribution to journalArticle

  225. 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

  226. 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

  227. 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

  228. 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

  229. 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

  230. 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

  231. 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

  232. 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

  233. 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

  234. 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

  235. 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

  236. 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

  237. 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

  238. 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

  239. 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

  240. 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

  241. 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

  242. 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

  243. 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; 199).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  244. 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

  245. 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

  246. 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

  247. 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

  248. 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).

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

  249. 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

  250. 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

  251. 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

  252. 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

  253. 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

  254. 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

  255. 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

  256. 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

  257. 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).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  258. 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

  259. 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

  260. 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

  261. 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

  262. 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

  263. 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

  264. 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

  265. 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

  266. 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

  267. 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

  268. 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

  269. 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

  270. 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

  271. 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

  272. 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

  273. 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

  274. 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

  275. 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; 383).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  276. 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

  277. 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).

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

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

    Pontin, D. I. & Craig, I. J. D. 2005 In : Physics of Plasmas. 12, 7, p. 072112 1 p.

    Research output: Contribution to journalArticle

  279. 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).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  280. 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

  281. 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

  282. 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

  283. 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

  284. 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

  285. 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

  286. 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

  287. 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

  288. 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

  289. 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

  290. 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

  291. 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

  292. 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

  293. 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

  294. 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

  295. 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

  296. 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

  297. 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

  298. 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

  299. 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

  300. 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

  301. 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

  302. 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

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

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

    Research output: Contribution to journalArticle

  304. 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

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

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

    Research output: Contribution to journalArticle

  306. 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

  307. 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

  308. 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

  309. 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).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  310. 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; 117).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  311. 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

  312. 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

  313. 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

  314. 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

  315. 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

  316. 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

  317. 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

  318. 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

  319. 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

  320. 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

  321. 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

  322. 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

  323. 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

  324. 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

  325. 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

  326. 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

  327. 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

  328. 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

  329. 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

  330. 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

  331. 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

  332. 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

  333. 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

  334. 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

  335. 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

  336. 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

  337. Exact solutions for magnetic reconnective annihilation in curvilinear geometry

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

    Research output: Contribution to conferencePaper

  338. 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

  339. 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

  340. 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

  341. 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

  342. 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

  343. 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

  344. 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

  345. 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

  346. 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

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

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

    Research output: Contribution to journalArticle

  348. 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

  349. 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

  350. 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

  351. 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

  352. 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

  353. 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

  354. 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

  355. 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; 71(3)).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  356. 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

  357. 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

  358. 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

  359. 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

  360. 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

  361. 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

  362. 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

  363. 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

  364. 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

  365. 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

  366. 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

  367. 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

  368. 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

  369. 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

  370. 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

  371. 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

  372. 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

  373. An Introduction to Matlab 6.1, August 2001

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

    Research output: Book/ReportOther report

  374. 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

  375. Equidistributing grids

    Higham, D. J., Ross, A. B. & Griffiths, D. 2001 Department of Mathematics, University of Dundee. (Technical report; NA/198).

    Research output: Book/ReportOther report

  376. 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

  377. 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

  378. MacCormack's method for advection-reaction equations

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

    Research output: Non-textual formDigital or Visual Products

  379. 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

  380. 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

  381. 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

  382. 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

  383. 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

  384. 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).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  385. 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).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  386. Travelling waves in a model of species migration

    Feltham, D. L. & Chaplain, M. A. J. Oct 2000 In : Applied Mathematics Letters. 13, 7, p. 67-73 7 p.

    Research output: Contribution to journalArticle

  387. 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

  388. 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

  389. 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

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

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

    Research output: Contribution to journalArticle

  391. Magnetohydrodynamic flows sustaining stationary magnetic nulls

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

    Research output: Contribution to journalArticle

  392. Mathematical modelling of angiogenesis

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

    Research output: Contribution to journalArticle

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

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

    Research output: Contribution to journalArticle

  394. Mathematical modelling of tumour invasion and metastasis

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

    Research output: Contribution to journalArticle

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

    Panetta, J. C., Chaplain, M. A. J. & Cameron, D. 2000 In : Journal of Theoretical Medicine. 3, 1, p. 11-23 13 p.

    Research output: Contribution to journalArticle

  396. Runge-Kutta solutions of a hyperbolic conservation law with source term

    Aves, M. A., Griffiths, D. & Higham, D. J. 2000 In : SIAM Journal on Scientific Computing. 22, 1, p. 20-38 19 p.

    Research output: Contribution to journalArticle

  397. Steady state solutions of a generic model for the formation of capillary networks

    Davidson, F. A., Anderson, A. R. A. & Chaplain, M. A. J. 2000 In : Applied Mathematics Letters. 13, 5, p. 127-132 6 p.

    Research output: Contribution to journalArticle

  398. The use of interprofessional peer examiners in an objective structured clinical examination: can dental students act as examiners?

    Ogden, G. R., Green, M. & Ker, J. S. 2000 In : British Dental Journal. 189, 3, p. 160-164 5 p.

    Research output: Contribution to journalArticle

  399. Theta method dynamics

    Barclay, G. J., Griffiths, D. & Higham, D. J. 2000 In : LMS Journal of Computation and Mathematics. 3, p. 27-43 17 p.

    Research output: Contribution to journalArticle

  400. Topological constraints on the relaxation of complex magnetic fields

    Hornig, G. Sep 1999

    Research output: Contribution to conferenceOther

  401. The association between epithelial proliferation and disease progression in the oral mucosa

    Macluskey, M., Ogden, G. R., Green, M., Chisholm, D. M., Schor, S. L. & Schor, A. M. Jul 1999 In : Oral Oncology. 35, 4, p. 409-14 6 p.

    Research output: Contribution to journalArticle

  402. A mathematical analysis of a model for capillary network formation in the absence of endothelial cell proliferation

    Sleeman, B. D., Anderson, A. R. A. & Chaplain, M. A. J. 1999 In : Applied Mathematics Letters. 12, 8, p. 121-127 7 p.

    Research output: Contribution to journalArticle

  403. A mathematical model of trophoblast invasion

    Byrne, H. M., Chaplain, M. A. J., Pettet, G. J. & McElwain, D. L. S. 1999 In : Journal of Theoretical Medicine. 1, 4, p. 275-286 12 p.

    Research output: Contribution to journalArticle

  404. Does breast cancer exist in a state of chaos?

    Baum, M., Chaplain, M. A. J., Anderson, A. R. A., Douek, M. & Vaidya, J. S. 1999 In : European Journal of Cancer. 35, 6, p. 886-891 6 p.

    Research output: Contribution to journalArticle

  405. Modelling the growth and form of capillary networks

    Chaplain, M. 1999 On growth and form: spatio-temporal pattern formation in biology. Chaplain, M. A. J., Singh, G. D. & McLachlan, J. C. (eds.). Chichester: Wiley, p. 225-250 26 p. (Wiley series in mathematical and computational biology).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  406. On growth and form: spatio-temporal pattern formation in biology

    Chaplain, M. A. J. (ed.), Singh, G. D. (ed.) & McLachlan, J. C. (ed.) 1999 Wiley.

    Research output: Book/ReportBook

  407. Quasi-separatrix layers: refined theory and its application to solar flares

    Titov, V. S., Demoulin, P. & Hornig, G. 1999 Magnetic fields and solar processes: proceedings of the 9th European Meeting on Solar Physics, 12-18 September 1999, Florence, Italy. Wilson, A. (ed.). ESA Publications Division

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

  408. Runge-Kutta and MacCormack dynamics

    Griffiths, D. & Higham, D. J. 1999 University of Strathclyde, (in Proceedings of the 8th International Symposium on Computational Fluid Dynamics, Bremen, Sep. 1999).

    Research output: Working paper

  409. Sequential regularization methods for simulating mechanical systems with many closed loops

    Ascher, U. & Lin, P. 1999 In : SIAM Journal on Scientific Computing. 21, 4, p. 1244-1262 19 p.

    Research output: Contribution to journalArticle

  410. The evolution of magnetic helicity under reconnection

    Hornig, G. 1999 Magnetic helicity in space and laboratory plasmas. Brown, M. R., Canfield, R. C. & Pevtsov, A. A. (eds.). American Geophysical Union, p. 157-165 9 p. (Geophysical monographs).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  411. Topological constraints on the relaxation of complex magnetic fields

    Hornig, G. 1999 Magnetic fields and solar processes, proceedings of the 9th European Meeting on Solar Physics. 12-18 September 1999, Florence, Italy. Wilson, A. (ed.). Noordwijk : European Space Agency, p. 5-8 4 p. (ESA special publications; 448).

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

  412. A mathematical model for capillary network formation in the absence of endothelial cell proliferation

    Anderson, A. R. A. & Chaplain, M. A. J. May 1998 In : Applied Mathematics Letters. 11, 3, p. 109-114 6 p.

    Research output: Contribution to journalArticle

  413. An iterative perturbation method for the pressure equation in the simulation of miscible displacement in porous media

    Lin, P. & Yang, D. 1998 In : SIAM Journal on Scientific Computing. 19, 3, p. 893-911 19 p.

    Research output: Contribution to journalArticle

  414. Apoptosis and necrosis as distinct cell loss mechanisms in avascular tumour growth

    Byrne, H. M. & Chaplain, M. A. J. 1998 In : Journal of Theoretical Medicine. 1, 3, p. 223-235 13 p.

    Research output: Contribution to journalArticle

  415. Continuous and discrete mathematical models of tumor-induced angiogenesis

    Anderson, A. R. A. & Chaplain, M. A. J. 1998 In : Bulletin of Mathematical Biology. 60, 5, p. 857-899 43 p.

    Research output: Contribution to journalArticle

  416. Free boundary value problems associated with the growth and development of multicellular spheroids

    Byrne, H. M. & Chaplain, M. A. J. 1998 In : European Journal of Applied Mathematics. 8, 6, p. 639-658 20 p.

    Research output: Contribution to journalArticle

  417. Mathematical modeling of tumor-induced angiogenesis

    Chaplain, M. A. J. & Orme, M. E. 1998 Vascular morphogenesis: in vivo, in vitro, in mente. Little, C. D., Mironov, V. & Sage, E. H. (eds.). Boston: Birkhauser, p. 205-240 36 p. (Cardiovascular molecular morphogenesis).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  418. Simulations of non-stationary magnetic reconnection in Lie-transported electro-magnetic fields

    Rastatter, L. & Hornig, G. 1998 In : Physica Scripta. T74, p. 40-45 6 p.

    Research output: Contribution to journalArticle

  419. Spatio-temporal dynamics of the immune system response to cancer

    Chaplain, M., Kuznetsov, V. A., James, Z. H., Davidson, F. & Stepanova, L. A. 1998 Mathematical models in medical and health science. Mary Ann, H., Gieri, S. & Glenn F., W. (eds.). Vanderbilt University Press

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

  420. The magnetic structure of B ≠ 0-reconnection

    Hornig, G. & Rastatter, L. 1998 In : Physica Scripta. 1998, T74, p. 34-39 6 p.

    Research output: Contribution to journalArticle

  421. The mathematical modelling of cancer: a review: a review

    Panetta, J. C., Chaplain, M. A. J. & Adam, J. A. 1998 Mathematical models in medical and health science. Horn, M. A., Simonett, G. & Webb, G. F. (eds.). Vanderbilt University Press, p. 281-309 29 p. (Innovations in applied mathematics).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  422. Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies

    Orme, M. E. & Chaplain, M. A. J. Sep 1997 In : IMA Journal of Mathematics Applied in Medicine and Biology. 14, 3, p. 189-205 17 p.

    Research output: Contribution to journalArticle

  423. Does error control suppress spuriosity?

    Aves, M. A., Griffiths, D. & Higham, D. J. Apr 1997 In : SIAM Journal on Numerical Analysis. 34, 2, p. 756-778 23 p.

    Research output: Contribution to journalArticle

  424. The "no boundary condition" outflow boundary condition

    Griffiths, D. Jan 1997 In : International Journal for Numerical Methods in Fluids. 24, 4, p. 393-411 19 p.

    Research output: Contribution to journalArticle

  425. A sequential regularization method for time-dependent incompressible Navier--Stokes equations

    Lin, P. 1997 In : SIAM Journal on Numerical Analysis. 34, 3, p. 1051-1071 21 p.

    Research output: Contribution to journalArticle

  426. Sequential regularization methods for nonlinear higher-index DAEs

    Ascher, U. & Lin, P. 1997 In : SIAM Journal on Scientific Computing. 18, 1, p. 160-181 22 p.

    Research output: Contribution to journalArticle

  427. Spatio-temporal dynamics of the immune system response to cancer

    Chaplain, M., Kuznetsov, V. A., James, Z. H. & Stepanova, L. A. 1997

    Research output: Contribution to conferencePaper

  428. The covariant transport of electromagnetic fields and its relation to magnetohydrodynamics

    Hornig, G. 1997 In : Physics of Plasmas. 4, 3, p. 646-654 9 p.

    Research output: Contribution to journalArticle

  429. Modelling the role of cell-cell adhesion in the growth and development of carcinomas

    Byrne, H. M. & Chaplain, M. A. J. Dec 1996 In : Mathematical and Computer Modelling. 24, 12, p. 1-17 17 p.

    Research output: Contribution to journalArticle

  430. On the role of angiogenesis in wound healing

    Pettet, G., Chaplain, M. A. J., McElwain, D. L. S. & Byrne, H. M. Nov 1996 In : Proceedings of the Royal Society B. 263, 1376, p. 1487-1493 7 p.

    Research output: Contribution to journalArticle

  431. Mechanisms for stabilisation and destabilisation of systems of reaction-diffusion equations

    Gourley, S. A., Britton, N. F., Chaplain, M. A. J. & Byrne, H. M. Sep 1996 In : Journal of Mathematical Biology. 34, 8, p. 857-877 21 p.

    Research output: Contribution to journalArticle

  432. A mathematical model of vascular tumour growth and invasion

    Orme, M. E. & Chaplain, M. A. J. 1996 In : Mathematical and Computer Modelling. 23, 10, p. 43-60 18 p.

    Research output: Contribution to journalArticle

  433. From mutation to metastasis: the mathematical modelling of the stages of tumour development

    Chaplain, M. A. J. 1996 A survey of models for tumor-immune system dynamics. Adam, J. A. & Bellomo, N. (eds.). Boston, Mass.: Birkhauser, p. 187-236 50 p. (Modeling and simulation in science, engineering and technology).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  434. Growth of necrotic tumors in the presence and absence of inhibitors

    Byrne, H. M. & Chaplain, M. A. J. 1996 In : Mathematical Biosciences. 135, 2, p. 187-216 30 p.

    Research output: Contribution to journalArticle

  435. Magnetic topology and the problem of its invariant definition

    Hornig, G. & Schindler, K. 1996 In : Physics of Plasmas. 3, p. 781-793 13 p.

    Research output: Contribution to journalArticle

  436. On the importance of constitutive equations in mechanochemical models of pattern formation

    Byrne, H. M. & Chaplain, M. A. J. 1996 In : Applied Mathematics Letters. 9, 6, p. 85-90 6 p.

    Research output: Contribution to journalArticle

  437. Sequential regularization methods for higher index DAEs with constraint singularities: linear index-$2$ case

    Ascher, U. M. & Lin, P. 1996 In : SIAM Journal on Numerical Analysis. 33, 5, p. 1921-1940 20 p.

    Research output: Contribution to journalArticle

  438. The mathematical modelling of angiogenesis and vascular tumour growth

    Chaplain, M. A. J. 1996 In : ZAMM - Journal of Applied Mathematics and Mechanics. 76, S4, p. 25-56 32 p.

    Research output: Contribution to journalArticle

  439. The mathematical modelling of wound healing and tumour growth: two sides of the same coin

    Chaplain, M. A. J. & Byrne, H. M. 1996 In : Wounds: a Compendium of Clinical Research and Practice. 8, 2, p. 42-48 7 p.

    Research output: Contribution to journalArticle

  440. The mathematical modelling, simulation and prediction of tumour-induced angiogenesis

    Chaplain, M. A. J. & Anderson, A. R. A. 1996 In : Invasion and Metastasis. 16, 4-5, p. 222-234 13 p.

    Research output: Contribution to journalArticle

  441. The problem of magnetic topology and reconnection in relativistic systems

    Hornig, G. & Schindler, K. 1996 In : Astrophysical Letters and Communications. 34, p. 231-236 6 p.

    Research output: Contribution to journalArticle

  442. The role of N-methyl-D-aspartate (NMDA) receptors in wind-up - a mathematical model

    Britton, N. F., Chaplain, M. A. J. & Skevington, S. M. 1996 In : IMA Journal of Mathematics Applied in Medicine and Biology. 13, 3, p. 193-205 13 p.

    Research output: Contribution to journalArticle

  443. Explicit solutions of a simplified model of capillary sprout growth during tumour angiogenesis

    Byrne, H. M. & Chaplain, M. A. J. Sep 1995 In : Applied Mathematics Letters. 8, 5, p. 71-76 6 p.

    Research output: Contribution to journalArticle

  444. A mathematical analysis of a model for tumour angiogenesis

    Chaplain, M. A. J., Giles, S. M., Sleeman, B. D. & Jarvis, R. J. 1995 In : Journal of Mathematical Biology. 33, 7, p. 744-770 27 p.

    Research output: Contribution to journalArticle

  445. Discretised eigenvalue problems, LBB constants and stabilization

    Griffiths, D., Griffiths, D. (ed.) & Watson, A. (ed.) 1995

    Research output: Non-textual formDigital or Visual Products

  446. Finite element approximation of hyperbolic equations

    Griffiths, D. & Mathai, G. 1995 Dundee: University of Dundee.

    Research output: Book/ReportBook

  447. Growth of nonnecrotic tumors in the presence and absence of inhibitors

    Byrne, H. M. & Chaplain, M. A. J. 1995 In : Mathematical Biosciences. 130, 2, p. 151-181 31 p.

    Research output: Contribution to journalArticle

  448. Mathematical modelling of acute pain

    Britton, N. F., Skevington, S. M. & Chaplain, M. A. J. 1995 In : Journal of Biological Systems. 3, 4, p. 1119-1124 6 p.

    Research output: Contribution to journalArticle

  449. Mathematical models for tumour angiogenesis: numerical simulations and nonlinear wave solutions

    Byrne, H. M. & Chaplain, M. A. J. 1995 In : Bulletin of Mathematical Biology. 57, 3, p. 461-486 26 p.

    Research output: Contribution to journalArticle

  450. Reaction-diffusion pre-patterning and its potential role in tumour invasion

    Chaplain, M. A. J. 1995 In : Journal of Biological Systems. 3, 4, p. 929-936 8 p.

    Research output: Contribution to journalArticle

  451. Resolving the chemotactic wave paradox: a mathematical model for chemotaxis of dictyostelium amoebae

    Hofer, T., Maini, P. K., Sherratt, J. A., Chaplain, M. A. J. & Murray, J. D. 1995 In : Journal of Biological Systems. 3, 4, p. 967-973 7 p.

    Research output: Contribution to journalArticle

  452. The mathematical modelling of tumour angiogenesis and invasion

    Chaplain, M. A. J. 1995 In : Acta Biotheoretica. 43, 4, p. 387-402 16 p.

    Research output: Contribution to journalArticle

  453. Travelling waves arising in mathematical models of tumour angiogenesis and tumour invasion

    Chaplain, M. A. J. & Orme, M. E. 1995 In : Forma. 10, 3, p. 147-170 24 p.

    Research output: Contribution to journalArticle

  454. A resolution of the chemotactic wave paradox

    Hoefer, T., Maini, P. K., Sherratt, J. A., Chaplain, M. A. J., Chauvet, P., Metevier, D., Montes, P. C. & Murray, J. D. 1994 In : Applied Mathematics Letters. 7, 2, p. 1-5 5 p.

    Research output: Contribution to journalArticle

  455. Nonlinear diffusion of a growth inhibitory factor in multi cell spheroids

    Chaplain, M. A. J., Benson, D. L. & Maini, P. K. 1994 In : Mathematical Biosciences. 121, 1, p. 1-13 13 p.

    Research output: Contribution to journalArticle

  456. Unstable modes of the Q1-P0 element

    Griffiths, D. & Silvester, D. J. 1994 University of Manchester/UMIST. Manchester Centre for Computational Mathematics. (Numerical Analysis Report).

    Research output: Book/ReportOther report

  457. A qualitative analysis of some models of tissue growth

    Britton, N. F. & Chaplain, M. A. J. Jan 1993 In : Mathematical Biosciences. 113, 1, p. 77-89 13 p.

    Research output: Contribution to journalArticle

  458. A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor

    Chaplain, M. A. J. & Stuart, A. M. 1993 In : Mathematical Medicine and Biology: a Journal of the IMA. 10, 3, p. 149-168 20 p.

    Research output: Contribution to journalArticle

  459. Modelling the growth of solid tumours and incorporating a method for their classification using nonlinear elasticity theory

    Chaplain, M. A. J. & Sleeman, B. D. 1993 In : Journal of Mathematical Biology. 31, 5, p. 431-479 49 p.

    Research output: Contribution to journalArticle

  460. On the concentration profile of a growth inhibitory factor in multicell spheroids

    Chaplain, M. A. J. & Britton, N. F. 1993 In : Mathematical Biosciences. 115, 2, p. 233-245 13 p.

    Research output: Contribution to journalArticle

  461. The development of a spatial pattern in a model for cancer growth

    Chaplain, M. A. J. 1993 Experimental and theoretical advances in biological pattern formation. Othmer, H. G., Maini, P. K. & Murray, J. D. (eds.). Plenum Press, p. 45-60 16 p. (Experimental and theoretical advances in biological pattern formation).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  462. The strain energy function of an ideal plant cell wall

    Chaplain, M. A. J. 1993 In : Journal of Theoretical Biology. 163, 1, p. 77-97 21 p.

    Research output: Contribution to journalArticle

  463. A mathematical model for the growth and classification of a solid tumour: a new approach via nonlinear elasticity theory using strain-energy functions

    Chaplain, M. A. J. & Sleeman, B. D. Oct 1992 In : Mathematical Biosciences. 111, 2, p. 169-215 47 p.

    Research output: Contribution to journalArticle

  464. MAC387: its non-specificity as a tumour marker or marker of histiocytes

    Jones, D. B., du Boulay, C. E. H. & Fleming, S. 1992 In : Histopathology. 21, 2, p. 199-200 2 p.

    Research output: Contribution to journalMeeting abstract

  465. A mathematical model for the diffusion of tumour angiogenesis factor into the surrounding host tissue

    Chaplain, M. A. J. & Stuart, A. M. 1991 In : IMA Journal of Mathematics Applied in Medicine and Biology. 8, 3, p. 191-220 30 p.

    Research output: Contribution to journalArticle

  466. A numerical method for quasilinear singular perturbation problems with turning points

    Lin, P. 1991 In : Computing. 46, 2, p. 155-164 10 p.

    Research output: Contribution to journalArticle

  467. An application of membrane theory to tip morphogenesis in Acetabularia

    Chaplain, M. A. J. & Sleeman, B. D. Sep 1990 In : Journal of Theoretical Biology. 146, 2, p. 177-200 24 p.

    Research output: Contribution to journalArticle

  468. A mathematical model for the production and secretion of tumour angiogenesis factor in tumours

    Chaplain, M. A. J. & Sleeman, B. D. 1990 In : IMA Journal of Mathematics Applied in Medicine and Biology. 7, 2, p. 93-108 16 p.

    Research output: Contribution to journalArticle

  469. Dynamic modeling of deep-bed filtration

    Mackie, R. I., Horner, R. M. W. & Jarvis, R. J. 1987 In : AIChE Journal. 33, 11, p. 1761-1775 15 p.

    Research output: Contribution to journalArticle

  470. Duality for infinite hermite spline interpolation

    Goodman, T. N. T. 1983 In : Rocky Mountain Journal of Mathematics. 13, 4, p. 619-625 7 p.

    Research output: Contribution to journalArticle

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