Generalised likelihood profiles for models with intractable likelihoods.
Stat. Comput., February, 2024
Growth and adaptation mechanisms of tumour spheroids with time-dependent oxygen availability.
PLoS Comput. Biol., January, 2023
Geometric analysis enables biological insight from complex non-identifiable models using simple surrogates.
PLoS Comput. Biol., January, 2023
Profile-Wise Analysis: A profile likelihood-based workflow for identifiability analysis, estimation, and prediction with mechanistic mathematical models.
PLoS Comput. Biol., 2023
Computationally efficient mechanism discovery for cell invasion with uncertainty quantification.
PLoS Comput. Biol., November, 2022
Efficient inference and identifiability analysis for differential equation models with random parameters.
PLoS Comput. Biol., November, 2022
Rapid Bayesian Inference for Expensive Stochastic Models.
J. Comput. Graph. Stat., January, 2022
Multifidelity multilevel Monte Carlo to accelerate approximate Bayesian parameter inference for partially observed stochastic processes.
J. Comput. Phys., 2022
Approximate analytical solution for transient heat and mass transfer across an irregular interface.
Commun. Nonlinear Sci. Numer. Simul., 2022
Exact time-dependent solutions of a Fisher-KPP-like equation obtained with nonclassical symmetry analysis.
Appl. Math. Lett., 2022
Travelling waves in a free boundary mechanobiological model of an epithelial tissue.
Appl. Math. Lett., 2021
Exact sharp-fronted travelling wave solutions of the Fisher-KPP equation.
Appl. Math. Lett., 2021
Biologically-informed neural networks guide mechanistic modeling from sparse experimental data.
PLoS Comput. Biol., 2020
Multilevel rejection sampling for approximate Bayesian computation.
Comput. Stat. Data Anal., 2018
Three-dimensional experiments and individual based simulations show that cell proliferation drives melanoma nest formation in human skin tissue.
BMC Syst. Biol., 2018
Numerical solution of the time fractional reaction-diffusion equation with a moving boundary.
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.
BMC Syst. Biol., 2017
Estimating cell diffusivity and cell proliferation rate by interpreting IncuCyte ZOOM™ assay data using the Fisher-Kolmogorov model.
BMC Syst. Biol., 2015
Multiple types of data are required to identify the mechanisms influencing the spatial expansion of melanoma cell colonies.
BMC Syst. Biol., 2013
Theoretical analysis and physical interpretation of temporal truncation errors in operator split algorithms.
Math. Comput. Simul., 2008
Nonmonotone chemotactic invasion: High-resolution simulations, phase plane analysis and new benchmark problems.
J. Comput. Phys., 2007
Characterizing and minimizing the operator split error for Fisher's equation.
Appl. Math. Lett., 2006
Diffusive and Chemotactic Cellular Migration: Smooth and Discontinuous Traveling Wave Solutions.
SIAM J. Appl. Math., 2005
Assessment of a non-traditional operator split algorithm for simulation of reactive transport.
Math. Comput. Simul., 2005