Modelling and Simulation of Collective Cell Migration with Non-Local Interactions on Time-Dependent Spatial Domains
Year: 2026
Type: article
Abstract: We extend the formulation of a non-local PDE model of collective cell migration involving attracting or repelling cellular interactions to the case of time-dependent spatial domains as present, for instance, in modelling developmental processes from embryology. We restrict to a spatially one-dimensional setting, as is appropriate for the modelling of neural crest cell invasion, and focus on the case of spatially homogeneous domain change as this already highlights many of the modelling and numerical challenges. The approach is illustrated and numerical simulations are presented and discussed for a model of an aggregating cellular population and for a simple model of neural crest cell invasion accounting for contact inhibition of locomotion.
Source: Bulletin of Mathematical Biology
Author: Alf Gerisch
Institution: Technische Universität Darmstadt
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
Funder: Technische Universität Darmstadt
OpenAlex ID: W7140171738