# Browse By Person: Simpson, Matthew

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**61**.## Journal Article

Simpson, Matthew & Ellery, Adam (2014) Exact series solutions of reactive transport models with general initial conditions.

*Journal of Hydrology*. (In Press)Young, Heather, Bergner, Annette, Simpson, Matthew, McKeown, Sonja, Anderson, Colin, & Enomoto, Hideki (2014) Colonizing while migrating : how do individual enteric neural crest cells behave?

*BMC Biology*,*12*(23). 2

Agnew, D.J.G., Green, J.E.F., Brown, T.M., Simpson, M.J., & Binder, B.J. (2014) Distinguishing between mechanisms of cell aggregation using pair-correlation functions.

*Journal of Theoretical Biology*. (In Press)Markham, Deborah C., Simpson, Matthew, Maini, Philip K., Gaffney, Eamonn, & Baker, Ruth (2014) Comparing methods for modelling spreading cell fronts.

*Journal of Theoretical Biology*. (In Press)Ellery, Adam, Simpson, Matthew, McCue, Scott W., & Baker, Ruth (2014) Characterizing transport through a crowded environment with different obstacle sizes.

*Journal of Chemical Physics*,*140*(5), 054108. 5

Simpson, Matthew, Sharp, Jesse, & Baker, Ruth (2014) Distinguishing between mean-field, moment dynamics and stochastic descriptions of birth-death-movement processes.

*Physica A Statistical Mechanics and its Applications*. (In Press) 1

Simpson, Matthew, Haridas, Parvathi, & McElwain, Sean (2014) Do pioneer cells exist?

*PLOS ONE*,*9*(1), e85488. 15

Johnston, Stuart, Simpson, Matthew, & Plank, Michael (2013) Lattice-free descriptions of collective motion with crowding and adhesion.

*Physical Review E (PRE)*,*88*(6), pp. 1-11.Treloar, Katrina, Simpson, Matthew, Haridas, Parvathi, Manton, Kerry, Leavesley, David I., McElwain, Sean, et al. (2013) Multiple types of data are required to identify the mechanisms influencing the spatial expansion of melanoma cell colonies.

*BMC Systems Biology*. (In Press) 7

Plank, Michael & Simpson, Matthew (2013) Lattice-free models of cell invasion : discrete simulations and travelling waves.

*Bulletin of Mathematical Biology*. (In Press) 1

1

Ellery, Adam, Simpson, Matthew, McCue, Scott W., & Baker, Ruth (2013) A simplified approach for calculating the moments of action for linear reaction-diffusion equations.

*Physical Review E (PRE)*. (In Press) 57

Bowden, Lucie, Simpson, Matthew, & Baker, Ruth (2013) Design and interpretation of cell trajectory assays.

*Journal of the Royal Society Interface*,*10*(88), pp. 1-12.Simpson, Matthew, Jazaei, Farhad, & Clement, Prabhakar (2013) How long does it take for aquifer recharge or aquifer discharge processes to reach steady state?

*Journal of Hydrology*,*501*, pp. 241-248. 1

1

Binder, Benjamin J. & Simpson, Matthew (2013) Quantifying spatial structure in experimental observations and agent-based simulations using pair-correlation functions.

*Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)*,*88*(2), pp. 1-10. 30

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Simpson, Matthew, Foy, Brody, & McCue, Scott W. (2013) Travelling waves for a velocity–jump model of cell migration and proliferation.

*Mathematical Biosciences*,*244*(2), pp. 98-106. 56

Treloar, Katrina & Simpson, Matthew (2013) Sensitivity of edge detection methods for quantifying cell migration assays.

*PLOS ONE*,*8*(6). 83

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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. 37

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Ellery, Adam J., Simpson, Matthew J., & McCue, Scott W. (2013) Comment on "Local accumulation times for source, diffusion, and degradation models in two and three dimensions" [J. Chem. Phys. 138, 104121 (2013)].

*Journal of Chemical Physics*,*139*(017101), pp. 1-2. 28

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Simpson, 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. 2

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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). 16

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Simpson, Matthew, Ellery, Adam, McCue, Scott W., & Baker, Ruth (2013) Critical timescales and time intervals for coupled linear processes.

*ANZIAM Journal*,*54*(3), pp. 127-142. 50

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Markham, Deborah C., Simpson, Matthew, Maini, Philip K., Gaffney, Eamonn, & Baker, Ruth (2013) Incorporating spatial correlations into multispecies mean-field models.

*Physical Review E*,*88*(5), 052713-1-052713-9. 13

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. 49

1

1

Simpson, Matthew & Mercer, Geoff (2012) Editorial : infectious disease modelling.

*ANZIAM Journal*,*54*(1-2). 55

Binder, 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. 97

Ellery, 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). 40

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Simpson, 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. 105

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Johnston, Stuart, Simpson, Matthew, & Baker, Ruth (2012) Mean-field descriptions of collective migration with strong adhesion.

*Physical Review E*,*85*(5), 051922-1 . 31

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Plank, 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*. 21

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Ellery, Adam, Simpson, Matthew, McCue, Scott W., & Baker, Ruth (2012) Critical time scales for advection–diffusion–reaction processes.

*Physical Review E*,*85*(4). 118

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Baker, 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. 35

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Chang, Sun Woo, Clement, T. Prabhakar, Simpson, Matthew J., & Lee, Kang-Kun (2011) Does sea-level rise have an impact on saltwater intrusion?

*Advances in Water Resources*,*34*(10), pp. 1283-1291. 213

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Simpson, Matthew & Baker, Ruth (2011) Corrected mean-field models for spatially-dependent advection-diffusion-reaction phenomena.

*Physical Review E*,*83*(5), 051922-1--051922-15. 52

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Simpson, 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 . 98

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Treloar, Katrina, Simpson, Matthew, & McCue, Scott W. (2011) Velocity-jump models with crowding effects.

*Physical Review E*,*84*(6), 061920-1. 108

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Ellery, 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. 179

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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. 117

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Baker, Ruth & Simpson, Matthew (2010) Correcting mean-field approximations for birth-death-movement processes.

*Physical Review E (PRE)*,*82*(4), 041905-1---41905-12. 62

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Simpson, 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. 51

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Fernando, 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. 14

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Simpson, 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. 49

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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. 5

4

Simpson, Matthew, Landman, Kerry, & Hughes, Barry (2009) Multi-species simple exclusion processes.

*Physica A: Statistical Mechanics and its Applications*,*388*(4), pp. 399-406. 31

33

Simpson, Matthew, Landman, Kerry, & Hughes, Barry (2009) Pathlines in exclusion processes.

*Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)*,*79*(3), pp. 1-5. 7

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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. 17

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Landman, Kerry, Simpson, Matthew, & Pettet, Graeme J. (2008) Tactically-driven nonmonotone travelling waves.

*Physica D Nonlinear Phenomena*,*237*(5), pp. 678-691. 37

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Simpson, 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. 1

2

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. 15

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Simpson, 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. 87

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Simpson, Matthew, Landman, Kerry, & Bhaganagarapu, Kaushik (2007) Coalescence of interacting cell populations.

*Journal of Theoretical Biology*,*247*(3), pp. 525-543. 4

3

Landman, 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. 27

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Simpson, 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. 3

3

Simpson, 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. 47

40

Simpson, Matthew & Landman, Kerry (2006) Characterizing and minimizing the operator split error for Fisher's equation.

*Applied Mathematics Letters*,*19*(7), pp. 604-612. 4

1

Simpson, 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. 19

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Simpson, 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. 41

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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. 20

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Simpson, 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. 3

3

Landman, 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. 21

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