Browse By Person: Simpson, Matthew
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Number of items: 46.
2005
Simpson, 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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17 182006
Simpson, 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 312007
Simpson, 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 71Simpson, 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 24Simpson, 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 362008
Binder, 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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21 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 22009
Simpson, 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 62010
Simpson, 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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94 16 16Baker, 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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51 9 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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41 14 13Fernando, 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 21 202011
Chang, 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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148 8Simpson, 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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38 7 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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84 12 11Treloar, 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 3Ellery, 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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140 62012
Simpson, Matthew & Mercer, Geoff (2012) Editorial : infectious disease modelling. ANZIAM Journal, 54(1-2).
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8Binder, 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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14Ellery, 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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79Johnston, 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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12 3 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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18 3 2Ellery, 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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75 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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14 42013
Markham, Deborah C., Simpson, Matthew J, & Baker, Ruth E. (2013) Simplified method for including spatial correlations in mean-field approximations. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 87(6), pp. 1-10.
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16Ellery, Adam, Simpson, Matthew, & McCue, Scott W. (2013) Comment on local accumulation times for source, diffusion, and degradation models in two and three dimensions. Journal of Chemical Physics. (In Press)
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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36Simpson, 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, 75(5), pp. 871-889.
Simpson, Matthew J., Treloar, Katrina K., Binder, Benjamin J., Haridas, Parvathi, Manton, Kerry J., Leavesley, David I., et al. (2013) Quantifying the roles of cell motility and cell proliferation in a circular barrier assay. Journal of the Royal Society. Interface, 10(82).
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1Simpson, 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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23Treloar, Katrina & Simpson, Matthew (2013) Sensitivity of edge detection methods for quantifying cell migration assays. PLOS ONE. (In Press)
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22Treloar, 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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