Matthew J. Simpson

26 papers Journal 26

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Parameter Identifiability, Parameter Estimation, and Model Prediction for Differential Equation Models. SIAM Rev. Matthew J. Simpson, Ruth E. Baker
2025	J	`jnl`	A generalised sigmoid population growth model with energy dependence: Application to quantify the tipping point for Antarctic shallow seabed algae. Environ. Model. Softw. Elise Mills, Graeme F. Clark, Matthew J. Simpson, Mark E. Baird, Matthew P. Adams
2024	J	`jnl`	Generalised likelihood profiles for models with intractable likelihoods. Stat. Comput. David J. Warne, Oliver J. Maclaren, Elliot J. Carr, Matthew J. Simpson, Christopher C. Drovandi
2023	J	`jnl`	Geometric analysis enables biological insight from complex non-identifiable models using simple surrogates. PLoS Comput. Biol. Alexander P. Browning, Matthew J. Simpson
2023	J	`jnl`	Growth and adaptation mechanisms of tumour spheroids with time-dependent oxygen availability. PLoS Comput. Biol. Ryan J. Murphy, Gency Gunasingh, Nikolas K. Haass, Matthew J. Simpson
2023	J	`jnl`	Profile-Wise Analysis: A profile likelihood-based workflow for identifiability analysis, estimation, and prediction with mechanistic mathematical models. PLoS Comput. Biol. Matthew J. Simpson, Oliver J. Maclaren
2022	J	`jnl`	Approximate analytical solution for transient heat and mass transfer across an irregular interface. Commun. Nonlinear Sci. Numer. Simul. Elliot J. Carr, Dylan J. Oliver, Matthew J. Simpson
2022	J	`jnl`	Computationally efficient mechanism discovery for cell invasion with uncertainty quantification. PLoS Comput. Biol. Daniel J. Vandenheuvel, Christopher C. Drovandi, Matthew J. Simpson
2022	J	`jnl`	Efficient inference and identifiability analysis for differential equation models with random parameters. PLoS Comput. Biol. Alexander P. Browning, Christopher C. Drovandi, Ian W. Turner, Adrianne L. Jenner, Matthew J. Simpson
2022	J	`jnl`	Exact time-dependent solutions of a Fisher-KPP-like equation obtained with nonclassical symmetry analysis. Appl. Math. Lett. Scott W. McCue, Bronwyn H. Bradshaw-Hajek, Matthew J. Simpson
2022	J	`jnl`	Multifidelity multilevel Monte Carlo to accelerate approximate Bayesian parameter inference for partially observed stochastic processes. J. Comput. Phys. David J. Warne, Thomas P. Prescott, Ruth E. Baker, Matthew J. Simpson
2022	J	`jnl`	Rapid Bayesian Inference for Expensive Stochastic Models. J. Comput. Graph. Stat. David J. Warne, Ruth E. Baker, Matthew J. Simpson
2021	J	`jnl`	Exact sharp-fronted travelling wave solutions of the Fisher-KPP equation. Appl. Math. Lett. Scott W. McCue, Maud El-Hachem, Matthew J. Simpson
2021	J	`jnl`	Travelling waves in a free boundary mechanobiological model of an epithelial tissue. Appl. Math. Lett. Ryan J. Murphy, Pascal R. Buenzli, Ruth E. Baker, Matthew J. Simpson
2020	J	`jnl`	Biologically-informed neural networks guide mechanistic modeling from sparse experimental data. PLoS Comput. Biol. John H. Lagergren, John T. Nardini, Ruth E. Baker, Matthew J. Simpson, Kevin B. Flores
2018	J	`jnl`	Multilevel rejection sampling for approximate Bayesian computation. Comput. Stat. Data Anal. David J. Warne, Ruth E. Baker, Matthew J. Simpson
2018	J	`jnl`	Three-dimensional experiments and individual based simulations show that cell proliferation drives melanoma nest formation in human skin tissue. BMC Syst. Biol. Parvathi Haridas, Alexander P. Browning, Jacqui A. McGovern, D. L. Sean McElwain, Matthew J. Simpson
2017	J	`jnl`	Numerical solution of the time fractional reaction-diffusion equation with a moving boundary. J. Comput. Phys. Minling Zheng, Fawang Liu, Qingxia Liu, Kevin Burrage, Matthew J. Simpson
2017	J	`jnl`	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. Matthew J. Simpson, Kai-Yin Lo, Yung-Shin Sun
2015	J	`jnl`	Estimating cell diffusivity and cell proliferation rate by interpreting IncuCyte ZOOM™ assay data using the Fisher-Kolmogorov model. BMC Syst. Biol. Stuart T. Johnston, Esha Shah, Lisa Chopin, D. L. Sean McElwain, Matthew J. Simpson
2013	J	`jnl`	Multiple types of data are required to identify the mechanisms influencing the spatial expansion of melanoma cell colonies. BMC Syst. Biol. Katrina K. Treloar, Matthew J. Simpson, Parvathi Haridas, Kerry J. Manton, David I. Leavesley, Donald L. S. McElwain, Ruth E. Baker
2008	J	`jnl`	Theoretical analysis and physical interpretation of temporal truncation errors in operator split algorithms. Math. Comput. Simul. Matthew J. Simpson, Kerry A. Landman
2007	J	`jnl`	Nonmonotone chemotactic invasion: High-resolution simulations, phase plane analysis and new benchmark problems. J. Comput. Phys. Matthew J. Simpson, Kerry A. Landman
2006	J	`jnl`	Characterizing and minimizing the operator split error for Fisher's equation. Appl. Math. Lett. Matthew J. Simpson, Kerry A. Landman
2005	J	`jnl`	Assessment of a non-traditional operator split algorithm for simulation of reactive transport. Math. Comput. Simul. Matthew J. Simpson, Kerry A. Landman, T. Prabhakar Clement
2005	J	`jnl`	Diffusive and Chemotactic Cellular Migration: Smooth and Discontinuous Traveling Wave Solutions. SIAM J. Appl. Math. Kerry A. Landman, Matthew J. Simpson, J. L. Slater, Donald F. Newgreen