14 citations · 49 across the 11 of their papers we have counts for
4 papers · 1 filter
Discrete and continuous mathematical models of sharp-fronted collective cell migration and invasion
Matthew J Simpson, Keeley M Murphy, Scott W McCue +1
Mathematical models describing the spatial spreading and invasion of populations of biological cells are often developed in a continuum modelling framework using reaction-diffusion…
Pushing coarse-grained models beyond the continuum limit using equation learning
Daniel J. VandenHeuvel, Pascal R. Buenzli, Matthew J. Simpson
Mathematical modelling of biological population dynamics often involves proposing high fidelity discrete agent-based models that capture stochasticity and individual-level processe…
Implementing measurement error models with mechanistic mathematical models in a likelihood-based framework for estimation, identifiability analysis, and prediction in the life sciences
Ryan J. Murphy, Oliver J. Maclaren, Matthew J. Simpson
Throughout the life sciences we routinely seek to interpret measurements and observations using parameterised mechanistic mathematical models. A fundamental and often overlooked ch…
Generalised likelihood profiles for models with intractable likelihoods
David J. Warne, Oliver J. Maclaren, Elliot J. Carr +2
Likelihood profiling is an efficient and powerful frequentist approach for parameter estimation, uncertainty quantification and practical identifiablity analysis. Unfortunately, th…