91 citations · 658 across the 28 of their papers we have counts for
3 papers · 1 filter
Random walk models for the propagation of signalling molecules in one-dimensional spatial networks and their continuum limit
Adel Mehrpooya, Vivien J. Challis, Pascal R. Buenzli
The propagation of signalling molecules within cellular networks is affected by network topology, but also by the spatial arrangement of cells in the networks. Understanding the co…
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…