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2020 – today
- 2022
[j16]Scott W. McCue
, Bronwyn H. Bradshaw-Hajek, Matthew J. Simpson:
Exact time-dependent solutions of a Fisher-KPP-like equation obtained with nonclassical symmetry analysis. Appl. Math. Lett. 132: 108151 (2022)- [j15]Elliot J. Carr, Dylan J. Oliver, Matthew J. Simpson:
Approximate analytical solution for transient heat and mass transfer across an irregular interface. Commun. Nonlinear Sci. Numer. Simul. 108: 106211 (2022) - 2021
- [j14]Ryan J. Murphy, Pascal R. Buenzli, Ruth E. Baker, Matthew J. Simpson:
Travelling waves in a free boundary mechanobiological model of an epithelial tissue. Appl. Math. Lett. 111: 106636 (2021) - [j13]Scott W. McCue, Maud El-Hachem, Matthew J. Simpson:
Exact sharp-fronted travelling wave solutions of the Fisher-KPP equation. Appl. Math. Lett. 114: 106918 (2021) - 2020
- [j12]John H. Lagergren, John T. Nardini, Ruth E. Baker, Matthew J. Simpson, Kevin B. Flores:
Biologically-informed neural networks guide mechanistic modeling from sparse experimental data. PLoS Comput. Biol. 16(12) (2020)
2010 – 2019
- 2018
- [j11]Parvathi Haridas, Alexander P. Browning, Jacqui A. McGovern, D. L. Sean McElwain, Matthew J. Simpson:
Three-dimensional experiments and individual based simulations show that cell proliferation drives melanoma nest formation in human skin tissue. BMC Syst. Biol. 12(1): 34:1-34:15 (2018) - [j10]David J. Warne, Ruth E. Baker, Matthew J. Simpson:
Multilevel rejection sampling for approximate Bayesian computation. Comput. Stat. Data Anal. 124: 71-86 (2018) - 2017
- [j9]Matthew J. Simpson, Kai-Yin Lo, Yung-Shin Sun:
Quantifying the roles of random motility and directed motility using advection-diffusion theory for a 3T3 fibroblast cell migration assay stimulated with an electric field. BMC Syst. Biol. 11(1): 39:1-39:9 (2017) - [j8]Minling Zheng, Fawang Liu, Qingxia Liu, Kevin Burrage, Matthew J. Simpson:
Numerical solution of the time fractional reaction-diffusion equation with a moving boundary. J. Comput. Phys. 338: 493-510 (2017) - 2015
- [j7]Stuart Johnston, Esha Shah, Lisa Chopin, D. L. Sean McElwain, Matthew J. Simpson:
Estimating cell diffusivity and cell proliferation rate by interpreting IncuCyte ZOOM™ assay data using the Fisher-Kolmogorov model. BMC Syst. Biol. 9: 38 (2015) - 2013
- [j6]Katrina K. Treloar, Matthew J. Simpson, Parvathi Haridas, Kerry J. Manton, David I. Leavesley, Donald L. S. McElwain, Ruth E. Baker:
Multiple types of data are required to identify the mechanisms influencing the spatial expansion of melanoma cell colonies. BMC Syst. Biol. 7: 137 (2013)
2000 – 2009
- 2008
- [j5]Matthew J. Simpson, Kerry A. Landman:
Theoretical analysis and physical interpretation of temporal truncation errors in operator split algorithms. Math. Comput. Simul. 77(1): 9-21 (2008) - 2007
- [j4]Matthew J. Simpson, Kerry A. Landman:
Nonmonotone chemotactic invasion: High-resolution simulations, phase plane analysis and new benchmark problems. J. Comput. Phys. 225(1): 6-12 (2007) - 2006
- [j3]Matthew J. Simpson, Kerry A. Landman:
Characterizing and minimizing the operator split error for Fisher's equation. Appl. Math. Lett. 19(7): 604-612 (2006) - 2005
- [j2]Matthew J. Simpson, Kerry A. Landman, T. Prabhakar Clement:
Assessment of a non-traditional operator split algorithm for simulation of reactive transport. Math. Comput. Simul. 70(1): 44-60 (2005) - [j1]Kerry A. Landman, Matthew J. Simpson, J. L. Slater, Donald F. Newgreen:
Diffusive and Chemotactic Cellular Migration: Smooth and Discontinuous Traveling Wave Solutions. SIAM J. Appl. Math. 65(4): 1420-1442 (2005)
Coauthor Index
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