Matthew J. Simpson

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 17

Top Topics

Stochastic Model

Efficient Inference

Top Venues

PLoS Comput. Biol.

BMC Syst. Biol.

Appl. Math. Lett.

J. Comput. Phys.

Publications

David J. Warne, Oliver J. Maclaren, Elliot J. Carr, Matthew J. Simpson, Christopher C. Drovandi
Generalised likelihood profiles for models with intractable likelihoods. Stat. Comput. 34 (1) (2024)
Alexander P. Browning, Matthew J. Simpson
Geometric analysis enables biological insight from complex non-identifiable models using simple surrogates. PLoS Comput. Biol. 19 (1) (2023)
Ryan J. Murphy, Gency Gunasingh, Nikolas K. Haass, Matthew J. Simpson
Growth and adaptation mechanisms of tumour spheroids with time-dependent oxygen availability. PLoS Comput. Biol. 19 (1) (2023)
Matthew J. Simpson, Oliver J. Maclaren
Profile-Wise Analysis: A profile likelihood-based workflow for identifiability analysis, estimation, and prediction with mechanistic mathematical models. PLoS Comput. Biol. 19 (9) (2023)
Daniel J. Vandenheuvel, Christopher C. Drovandi, Matthew J. Simpson
Computationally efficient mechanism discovery for cell invasion with uncertainty quantification. PLoS Comput. Biol. 18 (11) (2022)
Alexander P. Browning, Christopher C. Drovandi, Ian W. Turner, Adrianne L. Jenner, Matthew J. Simpson
Efficient inference and identifiability analysis for differential equation models with random parameters. PLoS Comput. Biol. 18 (11) (2022)
David J. Warne, Thomas P. Prescott, Ruth E. Baker, Matthew J. Simpson
Multifidelity multilevel Monte Carlo to accelerate approximate Bayesian parameter inference for partially observed stochastic processes. J. Comput. Phys. 469 (2022)
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 (2022)
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 (2022)
David J. Warne, Ruth E. Baker, Matthew J. Simpson
Rapid Bayesian Inference for Expensive Stochastic Models. J. Comput. Graph. Stat. 31 (1) (2022)
Scott W. McCue, Maud El-Hachem, Matthew J. Simpson
Exact sharp-fronted travelling wave solutions of the Fisher-KPP equation. Appl. Math. Lett. 114 (2021)
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 (2021)
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)
David J. Warne, Ruth E. Baker, Matthew J. Simpson
Multilevel rejection sampling for approximate Bayesian computation. Comput. Stat. Data Anal. 124 (2018)
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) (2018)
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 (2017)
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) (2017)
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 (2015)
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 (2013)
Matthew J. Simpson, Kerry A. Landman
Theoretical analysis and physical interpretation of temporal truncation errors in operator split algorithms. Math. Comput. Simul. 77 (1) (2008)
Matthew J. Simpson, Kerry A. Landman
Nonmonotone chemotactic invasion: High-resolution simulations, phase plane analysis and new benchmark problems. J. Comput. Phys. 225 (1) (2007)
Matthew J. Simpson, Kerry A. Landman
Characterizing and minimizing the operator split error for Fisher's equation. Appl. Math. Lett. 19 (7) (2006)
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) (2005)
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) (2005)