Matthew J. Simpson

According to our database, Matthew J. Simpson authored at least 24 papers between 2005 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

Generalised likelihood profiles for models with intractable likelihoods.

David J. Warne, Oliver J. Maclaren, Elliot J. Carr, Matthew J. Simpson, Christopher C. Drovandi

Stat. Comput., February, 2024

2023

Growth and adaptation mechanisms of tumour spheroids with time-dependent oxygen availability.

Ryan J. Murphy, Gency Gunasingh, Nikolas K. Haass, Matthew J. Simpson

PLoS Comput. Biol., January, 2023

Geometric analysis enables biological insight from complex non-identifiable models using simple surrogates.

Alexander P. Browning, Matthew J. Simpson

PLoS Comput. Biol., January, 2023

Profile-Wise Analysis: A profile likelihood-based workflow for identifiability analysis, estimation, and prediction with mechanistic mathematical models.

Matthew J. Simpson, Oliver J. Maclaren

PLoS Comput. Biol., 2023

2022

Computationally efficient mechanism discovery for cell invasion with uncertainty quantification.

Daniel J. Vandenheuvel, Christopher C. Drovandi, Matthew J. Simpson

PLoS Comput. Biol., November, 2022

Efficient inference and identifiability analysis for differential equation models with random parameters.

Alexander P. Browning, Christopher C. Drovandi, Ian W. Turner, Adrianne L. Jenner, Matthew J. Simpson

PLoS Comput. Biol., November, 2022

Rapid Bayesian Inference for Expensive Stochastic Models.

David J. Warne, Ruth E. Baker, Matthew J. Simpson

J. Comput. Graph. Stat., January, 2022

Multifidelity multilevel Monte Carlo to accelerate approximate Bayesian parameter inference for partially observed stochastic processes.

David J. Warne, Thomas P. Prescott, Ruth E. Baker, Matthew J. Simpson

J. Comput. Phys., 2022

Approximate analytical solution for transient heat and mass transfer across an irregular interface.

Elliot J. Carr, Dylan J. Oliver, Matthew J. Simpson

Commun. Nonlinear Sci. Numer. Simul., 2022

Exact time-dependent solutions of a Fisher-KPP-like equation obtained with nonclassical symmetry analysis.

Scott W. McCue, Bronwyn H. Bradshaw-Hajek, Matthew J. Simpson

Appl. Math. Lett., 2022

2021

Travelling waves in a free boundary mechanobiological model of an epithelial tissue.

Ryan J. Murphy, Pascal R. Buenzli, Ruth E. Baker, Matthew J. Simpson

Appl. Math. Lett., 2021

Exact sharp-fronted travelling wave solutions of the Fisher-KPP equation.

Scott W. McCue, Maud El-Hachem, Matthew J. Simpson

Appl. Math. Lett., 2021

2020

Biologically-informed neural networks guide mechanistic modeling from sparse experimental data.

John H. Lagergren, John T. Nardini, Ruth E. Baker, Matthew J. Simpson, Kevin B. Flores

PLoS Comput. Biol., 2020

2018

Multilevel rejection sampling for approximate Bayesian computation.

David J. Warne, Ruth E. Baker, Matthew J. Simpson

Comput. Stat. Data Anal., 2018

Three-dimensional experiments and individual based simulations show that cell proliferation drives melanoma nest formation in human skin tissue.

Parvathi Haridas, Alexander P. Browning, Jacqui A. McGovern, D. L. Sean McElwain, Matthew J. Simpson

BMC Syst. Biol., 2018

2017

Numerical solution of the time fractional reaction-diffusion equation with a moving boundary.

Minling Zheng, Fawang Liu, Qingxia Liu, Kevin Burrage, Matthew J. Simpson

J. Comput. Phys., 2017

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.

Matthew J. Simpson, Kai-Yin Lo, Yung-Shin Sun

BMC Syst. Biol., 2017

2015

Estimating cell diffusivity and cell proliferation rate by interpreting IncuCyte ZOOM™ assay data using the Fisher-Kolmogorov model.

Stuart Johnston, Esha Shah, Lisa Chopin, D. L. Sean McElwain, Matthew J. Simpson

BMC Syst. Biol., 2015

2013

Multiple types of data are required to identify the mechanisms influencing the spatial expansion of melanoma cell colonies.

Katrina K. Treloar, Matthew J. Simpson, Parvathi Haridas, Kerry J. Manton, David I. Leavesley, Donald L. S. McElwain, Ruth E. Baker

BMC Syst. Biol., 2013

2008

Theoretical analysis and physical interpretation of temporal truncation errors in operator split algorithms.

Matthew J. Simpson, Kerry A. Landman

Math. Comput. Simul., 2008

2007

Nonmonotone chemotactic invasion: High-resolution simulations, phase plane analysis and new benchmark problems.

Matthew J. Simpson, Kerry A. Landman

J. Comput. Phys., 2007

2006

Characterizing and minimizing the operator split error for Fisher's equation.

Matthew J. Simpson, Kerry A. Landman

Appl. Math. Lett., 2006

2005

Diffusive and Chemotactic Cellular Migration: Smooth and Discontinuous Traveling Wave Solutions.

Kerry A. Landman, Matthew J. Simpson, J. L. Slater, Donald F. Newgreen

SIAM J. Appl. Math., 2005

Assessment of a non-traditional operator split algorithm for simulation of reactive transport.

Matthew J. Simpson, Kerry A. Landman, T. Prabhakar Clement

Math. Comput. Simul., 2005