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Number of items: 66.

Journal Article

Jazaei, Farhad, Simpson, Matthew, & Clement, Prabhakar (2015) An analytical framework for quantifying aquifer response time scales associated with transient boundary conditions. Journal of Hydrology. (In Press)
Number of full-text downloads 16

Johnston, Stuart, Simpson, Matthew, McElwain, Sean, Binder, Benjamin J., & Ross, Joshua (2014) Interpreting scratch assays using pair density dynamics and approximate Bayesian computation. Open Biology, 4, pp. 140097-1.
Number of full-text downloads 4

Treloar, Katrina, Simpson, Matthew, McElwain, Sean, & Baker, Ruth (2014) Are in vitro estimates of cell diffusivity and cell proliferation rate sensitive to assay geometry? Journal of Theoretical Biology, 356, pp. 71-84.
Number of full-text downloads 22
Number of citations in Scopus 1
Number of citations in Web of Science® 1

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, 352, pp. 16-23.
Number of citations in Scopus 2
Number of citations in Web of Science® 2

Markham, Deborah C., Simpson, Matthew, Maini, Philip K., Gaffney, Eamonn, & Baker, Ruth (2014) Comparing methods for modelling spreading cell fronts. Journal of Theoretical Biology, 353, pp. 95-103.
Number of citations in Scopus 2
Number of citations in Web of Science® 2

Treloar, Katrina, Simpson, Matthew, Binder, Benjamin J., McElwain, Sean, & Baker, Ruth (2014) Assessing the role of spatial correlations during collective cell spreading. Scientific Reports, 4, 5713-1---8.
Number of full-text downloads 5

Johnston, Stuart, Simpson, Matthew, & McElwain, Sean (2014) How much information can be obtained from tracking the position of the leading edge in a scratch assay? Journal of the Royal Society Interface, 11(97), p. 20140325.
Number of full-text downloads 11

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).
Number of full-text downloads 4
Number of citations in Web of Science® 1

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.
Number of full-text downloads 14

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, 395, pp. 236-246.
Number of citations in Scopus 2
Number of citations in Web of Science® 1

Simpson, Matthew, Haridas, Parvathi, & McElwain, Sean (2014) Do pioneer cells exist? PLOS ONE, 9(1), e85488.
Number of full-text downloads 35

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, 7(137).
Number of full-text downloads 11
Number of citations in Scopus 4
Number of citations in Web of Science® 4

Plank, Michael & Simpson, Matthew (2013) Lattice-free models of cell invasion : discrete simulations and travelling waves. Bulletin of Mathematical Biology, 75(11), pp. 2150-2166.
Number of citations in Scopus 3
Number of citations in Web of Science® 3

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), 88, 054102.
Number of full-text downloads 70
Number of citations in Scopus 1
Number of citations in Web of Science® 1

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.
Number of full-text downloads 3
Number of citations in Scopus 2
Number of citations in Web of Science® 2

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.
Number of full-text downloads 34
Number of citations in Scopus 3
Number of citations in Web of Science® 3

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.
Number of full-text downloads 63

Treloar, Katrina & Simpson, Matthew (2013) Sensitivity of edge detection methods for quantifying cell migration assays. PLOS ONE, 8(6).
Number of full-text downloads 104
Number of citations in Scopus 8
Number of citations in Web of Science® 8

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.
Number of full-text downloads 45
Number of citations in Scopus 5
Number of citations in Web of Science® 4

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.
Number of full-text downloads 47
Number of citations in Scopus 3
Number of citations in Web of Science® 3

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.
Number of full-text downloads 12
Number of citations in Scopus 13
Number of citations in Web of Science® 12

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).
Number of full-text downloads 18
Number of citations in Scopus 18
Number of citations in Web of Science® 14

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.
Number of full-text downloads 61
Number of citations in Scopus 3
Number of citations in Web of Science® 3

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.
Number of full-text downloads 14
Number of citations in Scopus 2
Number of citations in Web of Science® 1

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.
Number of full-text downloads 52
Number of citations in Scopus 1
Number of citations in Web of Science® 1

Simpson, Matthew & Mercer, Geoff (2012) Editorial : infectious disease modelling. ANZIAM Journal, 54(1-2).
Number of full-text downloads 65

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.
Number of full-text downloads 158
Number of citations in Scopus 1
Number of citations in Web of Science® 1

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).
Number of full-text downloads 50
Number of citations in Scopus 5
Number of citations in Web of Science® 5

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.
Number of full-text downloads 118
Number of citations in Scopus 5
Number of citations in Web of Science® 5

Johnston, Stuart, Simpson, Matthew, & Baker, Ruth (2012) Mean-field descriptions of collective migration with strong adhesion. Physical Review E, 85(5), 051922-1 .
Number of full-text downloads 43
Number of citations in Scopus 11
Number of citations in Web of Science® 9

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.
Number of full-text downloads 23
Number of citations in Scopus 11
Number of citations in Web of Science® 11

Ellery, Adam, Simpson, Matthew, McCue, Scott W., & Baker, Ruth (2012) Critical time scales for advection–diffusion–reaction processes. Physical Review E, 85(4).
Number of full-text downloads 136
Number of citations in Scopus 6
Number of citations in Web of Science® 6

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.
Number of full-text downloads 37
Number of citations in Scopus 6
Number of citations in Web of Science® 6

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.
Number of full-text downloads 248
Number of citations in Scopus 21
Number of citations in Web of Science® 19

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.
Number of full-text downloads 58
Number of citations in Scopus 18
Number of citations in Web of Science® 16

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 .
Number of full-text downloads 104
Number of citations in Scopus 20
Number of citations in Web of Science® 21

Treloar, Katrina, Simpson, Matthew, & McCue, Scott W. (2011) Velocity-jump models with crowding effects. Physical Review E, 84(6), 061920-1.
Number of full-text downloads 113
Number of citations in Scopus 5
Number of citations in Web of Science® 5

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.
Number of full-text downloads 205
Number of citations in Scopus 10
Number of citations in Web of Science® 8

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.
Number of full-text downloads 121
Number of citations in Scopus 28
Number of citations in Web of Science® 26

Baker, Ruth & Simpson, Matthew (2010) Correcting mean-field approximations for birth-death-movement processes. Physical Review E (PRE), 82(4), 041905-1---41905-12.
Number of full-text downloads 68
Number of citations in Scopus 18
Number of citations in Web of Science® 18

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.
Number of full-text downloads 67
Number of citations in Scopus 32
Number of citations in Web of Science® 31

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.
Number of citations in Scopus 14
Number of citations in Web of Science® 20

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.
Number of full-text downloads 51
Number of citations in Scopus 24
Number of citations in Web of Science® 24

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.
Number of citations in Scopus 5
Number of citations in Web of Science® 5

Simpson, Matthew, Landman, Kerry, & Hughes, Barry (2009) Multi-species simple exclusion processes. Physica A: Statistical Mechanics and its Applications, 388(4), pp. 399-406.
Number of citations in Scopus 35
Number of citations in Web of Science® 36

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.
Number of citations in Scopus 7
Number of citations in Web of Science® 9

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.
Number of citations in Scopus 24
Number of citations in Web of Science® 26

Landman, Kerry, Simpson, Matthew, & Pettet, Graeme J. (2008) Tactically-driven nonmonotone travelling waves. Physica D Nonlinear Phenomena, 237(5), pp. 678-691.
Number of full-text downloads 42
Number of citations in Scopus 6
Number of citations in Web of Science® 6

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.
Number of citations in Scopus 1
Number of citations in Web of Science® 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.
Number of citations in Scopus 17
Number of citations in Web of Science® 16

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.
Number of citations in Scopus 95
Number of citations in Web of Science® 85

Simpson, Matthew, Landman, Kerry, & Bhaganagarapu, Kaushik (2007) Coalescence of interacting cell populations. Journal of Theoretical Biology, 247(3), pp. 525-543.
Number of citations in Scopus 4
Number of citations in Web of Science® 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.
Number of citations in Scopus 28
Number of citations in Web of Science® 26

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.
Number of citations in Scopus 3
Number of citations in Web of Science® 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.
Number of citations in Scopus 52
Number of citations in Web of Science® 44

Simpson, Matthew & Landman, Kerry (2006) Characterizing and minimizing the operator split error for Fisher's equation. Applied Mathematics Letters, 19(7), pp. 604-612.
Number of citations in Scopus 4
Number of citations in Web of Science® 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.
Number of citations in Scopus 20
Number of citations in Web of Science® 18

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.
Number of citations in Scopus 42
Number of citations in Web of Science® 38

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.
Number of citations in Scopus 21
Number of citations in Web of Science® 20

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.
Number of citations in Scopus 22
Number of citations in Web of Science® 23

This list was generated on Sat Oct 18 18:30:45 2014 EST.