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  1. 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 journal › Article

  2. 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 journal › Article

  3. 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 journal › Article

  4. 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 journal › Article

  5. 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 journal › Article

  6. 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 journal › Article

  7. 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 journal › Article

  8. 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 journal › Article

  9. 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 journal › Article

  10. 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 journal › Article

  11. Two-scale convergence forlocally periodic microstructures and homogenization of plywood structures

    Ptashnyk, M. 2013 In : Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal. 11, 1, p. 92-117, 26 p.

    Research output: Contribution to journal › Article

  12. 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 journal › Article

  13. 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 journal › Article

  14. 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, p. -, 6 p., 7

    Research output: Contribution to journal › Article

  15. 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 journal › Article

  16. Theory of magnetic reconnection in solar and astrophysical plasmas

    Pontin, D. I. 13-Jul-2012 In : Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences. 370, 1970, p. 3169-3192, 24 p.

    Research output: Contribution to journal › Article

  17. 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 journal › Article

  18. 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 journal › Article

  19. 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 journal › Article

  20. 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 journal › Special issue

  21. 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 journal › Article

  22. 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, p. 326A-326A, 1 p.

    Research output: Contribution to journal › Meeting abstract

  23. 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 journal › Article

  24. 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 journal › Article

  25. 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 journal › Article

  26. 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 journal › Article

  27. 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 journal › Article

  28. 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 journal › Article

  29. 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 journal › Article

  30. 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 journal › Article

  31. 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. 1-Jan-2012 In : Wiley Interdisciplinary Reviews: Systems Biology and Medicine. 4, 1, p. 1-14, 14 p.

    Research output: Contribution to journal › Article

  32. 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 journal › Article

  33. 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 journal › Article

  34. 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 journal › Article

  35. 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 journal › Article

  36. 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 , p. 1-11, 11 p., 021921

    Research output: Contribution to journal › Article

  37. 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 journal › Article

  38. 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 journal › Scientific review

  39. 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 journal › Article

  40. 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 journal › Article

  41. 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

    Research output: Contribution to journal › Article

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

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

    Research output: Contribution to journal › Article

  43. Preface

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

    Research output: Contribution to journal › Editorial

  44. 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 journal › Article

  45. 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 journal › Article

  46. 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 journal › Article

  47. 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 journal › Article

  48. 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 journal › Article

  49. 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 journal › Article

  50. 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. 15-Dec-2011 In : Cancer Research. 71, 24, p. 7366-7375, 10 p.

    Research output: Contribution to journal › Article

  51. 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 journal › Article

  52. 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 journal › Article

  53. 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 journal › Article

  54. 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 journal › Article

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

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

    Research output: Contribution to journal › Article

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

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

    Research output: Contribution to journal › Article

  57. 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 journal › Article

  58. 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 journal › Article

  59. 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 journal › Article

  60. 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 journal › Article

  61. 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. 8-Aug-2011 In : Journal of Cell Biology. 194, 3, p. 489-503, 15 p.

    Research output: Contribution to journal › Article

  62. 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, p. -, 17 p., 265501

    Research output: Contribution to journal › Article

  63. 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 journal › Article

  64. 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 journal › Article

  65. 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 journal › Editorial

  66. 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 journal › Scientific review

  67. 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 journal › Article

  68. 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 journal › Scientific review

  69. 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 journal › Article

  70. 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 journal › Article

  71. 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 journal › Article

  72. 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 journal › Article

  73. 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 journal › Article

  74. 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 journal › Article

  75. 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 journal › Scientific review

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

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

    Research output: Contribution to journal › Article

  77. 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 journal › Scientific review

  78. 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 journal › Article

  79. A nonmonotone filter method for nonlinear optimization

    Shen, C., Leyffer, S. & Fletcher, R. 2011 In : Computational Optimization and Applications. p. 1-25, 25 p.

    Research output: Contribution to journal › Article

  80. 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 journal › Article

  81. 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 journal › Article

  82. 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 proceeding › Other chapter contribution

  83. Reversing invasion in bistable systems

    Alzahrani, E. O., Davidson, F. A. & Dodds, N. 2011 In : Journal of Mathematical Biology. p. 1-24, 24 p.

    Research output: Contribution to journal › Article

  84. 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 journal › Article

  85. 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 journal › Article

  86. 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 journal › Article

  87. 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 journal › Article

  88. Topological constraints on magnetic relaxation

    Yeates, A. R., Hornig, G. & Wilmot-Smith, A. L. 16-Aug-2010 In : Physical Review Letters. 105, 8, p. -, 4 p., 085002

    Research output: Contribution to journal › Article

  89. 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 journal › Article

  90. Notes on configurational thermostat schemes

    Samoletov, A. A., Dettmann, C. P. & Chaplain, M. A. J. 28-Jun-2010 In : Journal of Chemical Physics. 132, 24, p. -, 2 p., 246101

    Research output: Contribution to journal › Article

  91. 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 journal › Article

  92. 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 journal › Article

  93. 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 journal › Article

  94. 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 journal › Article

  95. 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 journal › Article

  96. A blueprint for polarised growth

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

    Research output: Contribution to journal › Article

  97. 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 journal › Article

  98. 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 proceeding › Chapter

  99. 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 proceeding › Chapter

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

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

    Research output: Contribution to journal › Article

  101. Binary separation and training support vector machines

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

    Research output: Contribution to journal › Article

  102. 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 proceeding › Chapter

  103. Derivation of a macroscopic model for transport of strongly sorbed solutes in the soil using homogenization theory

    Ptashnyk, M. & Roose, T. 2010 In : SIAM Journal on Applied Mathematics. 70, 7, p. 2097-2118, 22 p.

    Research output: Contribution to journal › Article

  104. 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 proceeding › Chapter

  105. Dynamics of braided coronal loops I. Onset of magnetic reconnection

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

    Research output: Contribution to journal › Article

  106. 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 journal › Article

  107. 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 journal › Article

  108. 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 journal › Article

  109. 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 journal › Article

  110. 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 journal › Article

  111. 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 proceeding › Chapter

  112. 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 journal › Article

  113. Three-dimensional null point reconnection regimes

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

    Research output: Contribution to journal › Article

  114. 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 journal › Article

  115. Construction of lattices of balanced equivalence relations for regular homogeneous networks using lattice generators and lattice indices

    Kamei, H. Nov-2009 In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 19, 11, p. 3691-3705, 15 p.

    Research output: Contribution to journal › Article

  116. The existence and classification of synchrony-breaking bifurcations in regular homogeneous networks using lattice structures

    Kamei, H. Nov-2009 In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 19, 11, p. 3707-3732, 26 p.

    Research output: Contribution to journal › Article

  117. 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 journal › Article

  118. 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 journal › Article

  119. 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 journal › Article

  120. 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 journal › Article

  121. 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. 16-Jul-2009 In : Journal of Geophysical Research: Space Physics. 114, p. -, 7 p., A07216

    Research output: Contribution to journal › Article

  122. 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 journal › Article

  123. 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 journal › Article

  124. 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 journal › Editorial

  125. 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 journal › Article

  126. 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 journal › Article

  127. 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 journal › Article

  128. 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 journal › Article

  129. 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 journal › Article

  130. 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. 15-Jan-2009 In : Cancer Research. 69, 2, Suppl. 2, p. 156S-156S, 1 p., 1165

    Research output: Contribution to journal › Meeting abstract

  131. 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 journal › Meeting abstract

  132. 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 conference › Abstract

  133. 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 journal › Article

  134. 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 journal › Article

  135. 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 journal › Article

  136. 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 journal › Article

  137. 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 journal › Article

  138. 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 journal › Article

  139. 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 journal › Article

  140. 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/Report › Book

  141. 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. 2009 In : Astrophysical Journal. 700, 2, p. 1449-1455, 7 p.

    Research output: Contribution to journal › Article

  142. 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/Report › Commissioned report

  143. 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 journal › Article

  144. The local L2 projected C0 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 journal › Article

  145. 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 journal › Article

  146. Theoretical and mathematical ecology

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

    Research output: Contribution to journal › Editorial

  147. Modelling in vitro growth of dense root networks

    Bastian, P., Chavarría-Krauser, A., Engwer, C., Jäger, W., Marnach, S. & Ptashnyk, M. 7-Sep-2008 In : Journal of Theoretical Biology. 254, 1, p. 99-109, 11 p.

    Research output: Contribution to journal › Article

  148. 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 journal › Article

  149. Modeling the influence of the E-cadherin-beta-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 journal › Article

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

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

    Research output: Contribution to journal › Article

  151. 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 journal › Article

  152. 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 journal › Article

  153. 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 journal › Article

  154. 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 journal › Article

  155. 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 journal › Article

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

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

    Research output: Contribution to journal › Article

  157. 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 journal › Article

  158. 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 journal › Article

  159. 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 journal › Article

  160. 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 conference › Abstract

  161. 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 journal › Article

  162. 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 journal › Article

  163. 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 journal › Article

  164. 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 journal › Article

  165. 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. 2008 In : Proceedings of the National Academy of Sciences USA. 105, 51, p. 20215-20220, 6 p.

    Research output: Contribution to journal › Article

  166. 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, p. 147-200 54 p. (Lecture notes in mathematics; 1940).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter

  167. 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/Report › Book

  168. 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 proceeding › Chapter

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

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

    Research output: Contribution to journal › Article

  170. 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 proceeding › Chapter

  171. 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 journal › Article

  172. 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 journal › Article

  173. 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/Report › Book

  174. 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 journal › Article

  175. Theoretical and mathematical ecology (Editorial)

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

    Research output: Contribution to journal › Article

  176. 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 journal › Article

  177. 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 journal › Article

  178. 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 journal › Article

  179. 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 journal › Article

  180. 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 journal › Article

  181. 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 journal › Article

  182. 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 journal › Article

  183. 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 journal › Article

  184. 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 proceeding › Chapter

  185. 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 journal › Article

  186. 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 journal › Article

  187. 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 journal › Article

  188. Current amplification and magnetic reconnection at a three-dimensional null point: physical characteristics

    Pontin, D. I. & Galsgaard, K. 2007 In : Journal of Geophysical Research: Space Physics. 112, p. A03103

    Research output: Contribution to journal › Article

  189. 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 journal › Article

  190. 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 journal › Article

  191. 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 journal › Article

  192. 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 journal › Article

  193. 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 journal › Article

  194. 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 journal › Article

  195. Existence of positive solutions due to non-local interactions in a class of nonlinear boundary value problems

    Davidson, F. A. & Dodds, N. 2007 In : Methods and Applications of Analysis. 14, 1, p. 15-28, 14 p.

    Research output: Contribution to journal › Article

  196. 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 journal › Article

  197. 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 proceeding › Chapter

  198. 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 journal › Article

  199. 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 journal › Article

  200. Induction of contour sensing in Aspergillus niger by stress and its relevance to fungal growth mechanics and hyphal tip structure

    Bowen, A. D., Davidson, F. A., Keatch, R. & Gadd, G. M. 2007 In : Fungal Genetics and Biology. 44, 6, p. 484-491, 8 p.

    Research output: Contribution to journal › Article

  201. 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 journal › Article

  202. 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 journal › Article

  203. 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 proceeding › Chapter

  204. 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 journal › Article

  205. Multi-box splines

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

    Research output: Contribution to journal › Article

  206. 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 journal › Article

  207. 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 journal › Article

  208. 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 proceeding › Chapter

  209. 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 journal › Article

  210. 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/Report › Book

  211. 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 journal › Article

  212. 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 proceeding › Chapter

  213. 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 proceeding › Chapter

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

    Anderson, A. R. A., Weaver, A. M., Cummings, P. T. & Quaranta, V. 1-Dec-2006 In : Cell. 127, 5, p. 905-915, 11 p.

    Research output: Contribution to journal › Article

  215. 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 journal › Article

  216. 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 journal › Article

  217. 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 journal › Article

  218. 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 journal › Article

  219. 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 journal › Article

  220. 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 journal › Article

  221. 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 journal › Article

  222. 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 journal › Article

  223. 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 journal › Article

  224. 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 journal › Article

  225. 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 journal › Article

  226. 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 proceeding › Chapter

  227. 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 journal › Article

  228. 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 journal › Article

  229. 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 journal › Article

  230. 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 journal › Article

  231. 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 proceeding › Conference contribution

  232. Computing Helmert transformations

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

    Research output: Contribution to journal › Article

  233. 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 journal › Article

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

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

    Research output: Contribution to journal › Article

  235. 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 journal › Article

  236. 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 journal › Article

  237. 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 journal › Article

  238. 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 journal › Article

  239. 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 journal › Article

  240. 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 journal › Article

  241. 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 proceeding › Chapter

  242. 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 journal › Article

  243. 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 journal › Article

  244. 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 journal › Article

  245. 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 journal › Article

  246. 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 journal › Article

  247. 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 journal › Article

  248. 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 journal › Article

  249. 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 journal › Article

  250. 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 journal › Article

  251. 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 journal › Article

  252. 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 journal › Article

  253. 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 journal › Article

  254. 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 journal › Article

  255. 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 journal › Article

  256. 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 journal › Article

  257. 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 journal › Article

  258. A Laguerre-Legendre spectral element method for the solution of partial differential equations on infinite domains: application to the diffusion of tumour angiogenesis factors

    Valenciano, J. & Chaplain, M. A. J. 2005 In : Mathematical and Computer Modelling. 41, 10, p. 1171-1192, 22 p.

    Research output: Contribution to journal › Article

  259. 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 proceeding › Chapter

  260. 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 journal › Article

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

    Smith, M. J., Kobine, J. J. & Davidson, F. A. 2005 WIT Transactions on the Built Environment, 84, p. 457-464

    Research output: Contribution to specialist publication › Article

  262. 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 journal › Article

  263. 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 proceeding › Chapter

  264. 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 journal › Article

  265. 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 journal › Article

  266. 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 journal › Article

  267. 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 journal › Article

  268. 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 journal › Article

  269. 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 journal › Article

  270. 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 journal › Article

  271. 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 journal › Article

  272. 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 journal › Article

  273. 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 journal › Article

  274. 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 journal › Article

  275. 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 journal › Article

  276. 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 journal › Article

  277. 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 journal › Article

  278. 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 journal › Article

  279. 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 journal › Article

  280. 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 journal › Article

  281. 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. 25-May-2004 In : Journal of Hydrology. 290, 3-4, p. 217-228, 12 p.

    Research output: Contribution to journal › Article

  282. 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 journal › Article

  283. 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 journal › Article

  284. 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 journal › Article

  285. 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 journal › Article

  286. 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 journal › Article

  287. 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 journal › Article

  288. 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 journal › Article

  289. 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 journal › Article

  290. 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 journal › Article

  291. 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 journal › Article

  292. 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 journal › Article

  293. 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 proceeding › Other chapter contribution

  294. 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 proceeding › Chapter

  295. 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 proceeding › Chapter

  296. 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 journal › Article

  297. 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 journal › Article

  298. 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 journal › Article

  299. 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 journal › Article

  300. 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 journal › Article

  301. 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 journal › Article

  302. 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 journal › Article

  303. 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 journal › Article

  304. 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 journal › Article

  305. 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 journal › Article

  306. 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 journal › Article

  307. 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 journal › Article

  308. 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 journal › Article

  309. 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 journal › Article

  310. 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 journal › Article

  311. 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 journal › Article

  312. 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 journal › Article

  313. 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 journal › Article

  314. 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 journal › Article

  315. 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 journal › Article

  316. 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 journal › Article

  317. 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 journal › Article

  318. 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 journal › Article

  319. 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 journal › Article

  320. 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 journal › Article

  321. Exact solutions for magnetic reconnective annihilation in curvilinear geometry

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

    Research output: Contribution to conference › Paper

  322. 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 journal › Article

  323. 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 journal › Article

  324. 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 proceeding › Chapter

  325. 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 proceeding › Chapter

  326. 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 journal › Article

  327. 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 proceeding › Chapter

  328. 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/Report › Book

  329. 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 journal › Article

  330. 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 journal › Article

  331. 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 journal › Article

  332. 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 journal › Article

  333. 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 journal › Article

  334. 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 journal › Article

  335. 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 journal › Article

  336. 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 journal › Article

  337. 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 journal › Article

  338. 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 journal › Article

  339. 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 proceeding › Chapter

  340. 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 journal › Article

  341. 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 journal › Article

  342. 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 journal › Article

  343. Mathematical modelling of host-parasitoid systems: effects of chemically mediated parasitoid foraging strategies on within- and between-generation spatio-temporal dynamics

    Schofield, P., Chaplain, M. & Hubbard, S. 2002 In : Journal of Theoretical Biology. 214, 1, p. 31-47, 17 p.

    Research output: Contribution to journal › Article

  344. 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 proceeding › Chapter

  345. 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 journal › Article

  346. 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 journal › Article

  347. 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 journal › Article

  348. 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 journal › Article

  349. Persistence and global stability in a delayed Gause-type predator-prey system without dominating instantaneous negative feedbacks

    Xu, R. & Chaplain, M. A. J. 2002 In : Journal of Mathematical Analysis and Applications. 265, 1, p. 148-162, 15 p.

    Research output: Contribution to journal › Article

  350. 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 journal › Article

  351. 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 journal › Article

  352. 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 proceeding › Chapter

  353. 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 journal › Article

  354. 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 journal › Article

  355. 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 journal › Article

  356. 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 journal › Article

  357. 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 journal › Article

  358. 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 journal › Article

  359. An Introduction to Matlab 6.1, August 2001

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

    Research output: Book/Report › Other report

  360. 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 journal › Article

  361. Equidistributing grids

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

    Research output: Book/Report › Other report

  362. 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 journal › Article

  363. 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 journal › Article

  364. MacCormack's method for advection-reaction equations

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

    Research output: Non-textual form › Digital or Visual Products

  365. 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 proceeding › Entry for encyclopedia/dictionary

  366. 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 journal › Article

  367. 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 journal › Article

  368. 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 journal › Article

  369. 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 journal › Article

  370. 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 proceeding › Chapter

  371. 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 proceeding › Chapter

  372. 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 journal › Article

  373. 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. Aug-2000 In : Journal of Pathology. 191, 4, p. 368-75, 8 p.

    Research output: Contribution to journal › Article

  374. 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 journal › Article

  375. 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 journal › Article

  376. 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 journal › Article

  377. 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 journal › Article

  378. 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 journal › Article

  379. 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 journal › Article

  380. 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 journal › Article

  381. 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 journal › Article

  382. 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 journal › Article

  383. 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 journal › Article

  384. 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 journal › Article

  385. 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 journal › Article

  386. Topological constraints on the relaxation of complex magnetic fields

    Hornig, G. Sep-1999

    Research output: Contribution to conference › Other

  387. 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 journal › Article

  388. 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 journal › Article

  389. 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 journal › Article

  390. 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 journal › Article

  391. 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 proceeding › Chapter

  392. 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/Report › Book

  393. 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 proceeding › Conference contribution

  394. 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

  395. 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 journal › Article

  396. 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 proceeding › Chapter

  397. 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 proceeding › Conference contribution

  398. 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 journal › Article

  399. 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 journal › Article

  400. 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 journal › Article

  401. 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 journal › Article

  402. 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 journal › Article

  403. 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 proceeding › Chapter

  404. 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 journal › Article

  405. 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 proceeding › Conference contribution

  406. 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 journal › Article

  407. 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 proceeding › Chapter

  408. 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 journal › Article

  409. 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 journal › Article

  410. 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 journal › Article

  411. 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 journal › Article

  412. 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 journal › Article

  413. 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 conference › Paper

  414. 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 journal › Article

  415. 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 journal › Article

  416. 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 journal › Article

  417. 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 journal › Article

  418. A mathematical model of the first steps of tumour-related angiogenesis: capillary sprout formation and secondary branching

    Orme, M. E. & Chaplain, M. A. J. 1996 In : IMA Journal of Mathematics Applied in Medicine and Biology. 13, 2, p. 73-98, 26 p.

    Research output: Contribution to journal › Article

  419. 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 journal › Article

  420. Avascular growth, angiogenesis and vascular growth in solid tumours: the mathematical modelling of the stages of tumour development

    Chaplain, M. A. J. 1996 In : Mathematical and Computer Modelling. 23, 6, p. 47-87, 41 p.

    Research output: Contribution to journal › Article

  421. 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 proceeding › Chapter

  422. 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 journal › Article

  423. 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 journal › Article

  424. 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 journal › Article

  425. 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 journal › Article

  426. 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 journal › Article

  427. 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 journal › Article

  428. 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 journal › Article

  429. 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 journal › Article

  430. 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 journal › Article

  431. 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 journal › Article

  432. 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 journal › Article

  433. Discretised eigenvalue problems, LBB constants and stabilization

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

    Research output: Non-textual form › Digital or Visual Products

  434. Finite element approximation of hyperbolic equations

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

    Research output: Book/Report › Book

  435. 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 journal › Article

  436. 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 journal › Article

  437. 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 journal › Article

  438. 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 journal › Article

  439. 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 journal › Article

  440. 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 journal › Article

  441. 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 journal › Article

  442. 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. Mar-1994 In : Applied Mathematics Letters. 7, 2, p. 1-5, 5 p.

    Research output: Contribution to journal › Article

  443. 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 journal › Article

  444. 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/Report › Other report

  445. 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 journal › Article

  446. 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 journal › Article

  447. 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 journal › Article

  448. 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 journal › Article

  449. 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 proceeding › Chapter

  450. 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 journal › Article

  451. 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 journal › Article

  452. 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 journal › Meeting abstract

  453. 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 journal › Article

  454. 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 journal › Article

  455. 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 journal › Article

  456. 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 journal › Article

  457. 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 journal › Article

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