Browse By Person: Simpson, Matthew
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Number of items: 43.
Journal Article
Simpson, Matthew, Foy, Brody, & McCue, Scott W. (2013) Travelling waves for a velocity–jump model of cell migration and proliferation. Mathematical Biosciences. (In Press)
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29Simpson, Matthew, Treloar, Katrina, Binder, Benjamin J., Hardas, Parvathi, Manton, Kerry, Leavesley, David I., et al. (2013) Quantifying the roles of cell motility and cell proliferation in a circular barrier assay. Interface, 10(82).
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10Simpson, Matthew, Ellery, Adam, McCue, Scott W., & Baker, Ruth (2013) Critical timescales and time intervals for coupled linear processes. ANZIAM Journal. (In Press)
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21Simpson, Matthew, Binder, Benjamin J., Haridas, Parvathi, Wood, Benjamin, Treloar, Katrina, McElwain, Sean, et al. (2013) Experimental and modelling investigation of monolayer development with clustering. Bulletin of Mathematical Biology. (In Press)
Treloar, Katrina, Simpson, Matthew, & McCue, Scott W. (2013) Velocity jump processes with proliferation. Journal of Physics A : Mathematical and General, 46(1), pp. 1-17.
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24Simpson, Matthew & Mercer, Geoff (2012) Editorial : infectious disease modelling. ANZIAM Journal, 54(1-2).
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5Binder, Benjamin J., Ross, Joshua, & Simpson, Matthew (2012) A hybrid model for studying spatial aspects of infectious diseases. ANZIAM Journal, 54(1-2), pp. 37-49.
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7Ellery, Adam, Simpson, Matthew, McCue, Scott W., & Baker, Ruth (2012) Moments of action provide insight into critical times for advection–diffusion–reaction processes. Physical Review E (PRE), 86(3).
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26Simpson, Matthew & Ellery, Adam (2012) An analytical solution for diffusion and nonlinear uptake of oxygen in a spherical cell. Applied Mathematical Modelling, 36(7), pp. 3329-3334.
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77Johnston, Stuart, Simpson, Matthew, & Baker, Ruth (2012) Mean-field descriptions of collective migration with strong adhesion. Physical Review E, 85(5), 051922-1 .
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10 1 1Plank, Michael & Simpson, Matthew (2012) Models of collective cell behaviour with crowding effects : comparing lattice-based and lattice-free approaches. Journal of the Royal Society Interface.
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17 2 1Ellery, Adam, Simpson, Matthew, McCue, Scott W., & Baker, Ruth (2012) Critical time scales for advection–diffusion–reaction processes. Physical Review E, 85(4).
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73 1 1Baker, Ruth & Simpson, Matthew (2012) Models of collective cell motion for cell populations with different aspect ratio : diffusion, proliferation and travelling waves. Physica A : Statistical Mechanics and its Applications, 391(14), pp. 3729-3750.
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12 3Chang, Sunwoo, Clement, Prabhakar, Simpson, Matthew, & Lee, Kang-Kun (2011) Does sea-level rise have an impact on saltwater intrusion? Advances in Water Resources, 34(10), pp. 1283-1291.
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142 6Simpson, Matthew & Baker, Ruth (2011) Corrected mean-field models for spatially-dependent advection-diffusion-reaction phenomena. Physical Review E, 83(5), 051922-1--051922-15.
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36 6 6Simpson, Matthew, Baker, Ruth, & McCue, Scott W. (2011) Models of collective cell spreading with variable cell aspect ratio : a motivation for degenerate diffusion models. Physical Review E (PRE), 83, 021901-1 .
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82 11 10Treloar, Katrina, Simpson, Matthew, & McCue, Scott W. (2011) Velocity-jump models with crowding effects. Physical Review E, 84(6), 061920-1.
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78 3 2Ellery, Adam & Simpson, Matthew (2011) An analytical method to solve a general class of nonlinear reactive transport models. Chemical Engineering Journal, 169(1-3), pp. 313-318.
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136 5Simpson, Matthew, Towne, Chris L., McElwain, Sean, & Upton, Zee (2010) Migration of breast cancer cells : understanding the roles of volume exclusion and cell-to-cell adhesion. Physical Review E (PRE), 82(4), 041901-1---41901-9.
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91 16 15Baker, Ruth & Simpson, Matthew (2010) Correcting mean-field approximations for birth-death-movement processes. Physical Review E (PRE), 82(4), 041905-1---41905-12.
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49 8 8Simpson, Matthew, Landman, Kerry A., & Hughes, Barry (2010) Cell invasion with proliferation mechanisms motivated by time-lapse data. Physica A : Statistical Mechanics and its Applications, 389(18), pp. 3779-3790.
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40 13 12Fernando, Anthony, Landman, Kerry A., & Simpson, Matthew (2010) Nonlinear diffusion and exclusion processes with contact interactions. Physical Review E (PRE), 81(1), 011903-1---11903-11.
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12 13Simpson, Matthew, Landman, Kerry A., Hughes, Barry, & Fernando, Anthony (2010) A model for mesoscale patterns in motile populations. Physica A: Statistical Mechanics and its Applications, 389(7), pp. 1412-1424.
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37 20 19Simpson, Matthew (2009) Depth-averaging errors in reactive transport modeling. Water Resources Research, 45, pp. 1-8.
Simpson, Matthew, Hughes, Barry, & Landman, Kerry (2009) Diffusing populations: Ghosts or folks. Australasian Journal of Engineering Education, 15(2), pp. 59-68.
Simpson, Matthew, Landman, Kerry, & Hughes, Barry (2009) Distinguishing between directed and undirected cell motility within an invading cell population. Bulletin of Mathematical Biology, 71(4), pp. 781-799.
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4 4Simpson, Matthew, Landman, Kerry, & Hughes, Barry (2009) Multi-species simple exclusion processes. Physica A: Statistical Mechanics and its Applications, 388(4), pp. 399-406.
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25 25Simpson, Matthew, Landman, Kerry, & Hughes, Barry (2009) Pathlines in exclusion processes. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 79(3), pp. 1-5.
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6 6Binder, Benjamin, Landman, Kerry, Simpson, Matthew, Mariani, Michael, & Newgreen, Don (2008) Modeling proliferative tissue growth: A general approach and an avian case study. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 78(3), pp. 1-13.
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15 13Landman, Kerry, Simpson, Matthew, & Pettet, Graeme J. (2008) Tactically-driven nonmonotone travelling waves. Physica D Nonlinear Phenomena, 237(5), pp. 678-691.
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19 3 3Simpson, Matthew & Landman, Kerry (2008) Theoretical analysis and physical interpretation of temporal truncation errors in operator split algorithms. Mathematics and Computers in Simulation, 77(1), pp. 9-21.
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1 2Simpson, Matthew & Landman, Kerry (2007) Analysis of split operator methods applied to reactive transport with Monod kinetics. Advances in Water Resources, 30(9), pp. 2026-2033.
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13 12Simpson, Matthew, Zhang, Dong, Mariani, Michael, Landman, Kerry, & Newgreen, Don (2007) Cell proliferation drives neural crest cell invasion of the intestine. Developmental Biology, 302(2), pp. 553-568.
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76 69Simpson, Matthew, Landman, Kerry, & Bhaganagarapu, Kaushik (2007) Coalescence of interacting cell populations. Journal of Theoretical Biology, 247(3), pp. 525-543.
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3 4Landman, Kerry, Simpson, Matthew, & Newgreen, Don (2007) Mathematical and experimental insights into the development of the enteric nervous system and Hirschsprung's Disease. Development, Growth and Differentiation, 49(4), pp. 277-286.
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24 23Simpson, Matthew & Landman, Kerry (2007) Nonmonotone chemotactic invasion: High-resolution simulations, phase plane analysis and new benchmark problems. Journal of Computational Physics, 225(1), pp. 6-12.
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2 2Simpson, Matthew, Merrifield, Alistair, Landman, Kerry, & Hughes, Barry (2007) Simulating invasion with cellular automata: Connecting cell-scale and population-scale properties. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 76(2), pp. 1-11.
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42 35Simpson, Matthew & Landman, Kerry (2006) Characterizing and minimizing the operator split error for Fisher's equation. Applied Mathematics Letters, 19(7), pp. 604-612.
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4 1Simpson, Matthew, Landman, Kerry, & Newgreen, Don (2006) Chemotactic and diffusive migration on a nonuniformly growing domain: numerical algorithm development and applications. Journal of Computational and Applied Mathematics, 192(2), pp. 282-300.
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16 14Simpson, Matthew, Landman, Kerry, Hughes, Barry, & Newgreen, Don (2006) Looking inside an invasion wave of cells using continuum models: Proliferation is the key. Journal of Theoretical Biology, 243(3), pp. 343-360.
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35 30Simpson, Matthew, Landman, Kerry, & Clement, T. Prabhakar (2005) Assessment of a non-traditional operator split algorithm for simulation of reactive transport. Mathematics and Computers in Simulation, 70(1), pp. 44-60.
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17 16Simpson, Matthew (2005) Computing residence times for flow towards a pumping well: nomograph solution and validity of the small draw-down approximation. Hydrogeology Journal, 13(5-6), pp. 889-894.
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3 3Landman, Kerry, Simpson, Matthew, Slater, Jennifer, & Newgreen, Don (2005) Diffusive and chemotactic cellular migration: Smooth and discontinuous traveling wave solutions. SIAM Journal on Applied Mathematics, 65(4), pp. 1420-1442.
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