Matthew J Simpson

Quantifying transport in crowded biochemical environments

The paper investigates quantifying transport in crowded environments using a random walk model and shows that reliable predictions are possible but require large data and careful model selection.

Exact solutions of linear reaction-diffusion processes on a uniformly growing domain: Criteria for successful colonization

The paper derives exact solutions for linear reaction-diffusion equations on a growing domain and shows how domain growth, diffusivity, reaction rate, and initial conditions affect colonization success.

Choosing an appropriate modelling framework for analysing multispecies co-culture cell biology experiments

The paper evaluates mathematical models for mono-culture and co-culture cell biology assays, showing that spatial statistics can guide model choice for mono-culture but not co-culture.