Mathematical Modelling of Collective Cell Migration in Wound Healing

Bachelor thesis (2022)

Authors

T.T.H. van Vroonhoven Electrical Engineering, Mathematics and Computer Science

Contributors

Qiyao Peng Universiteit Leiden (supervisor 1)
E.G. Rens Electrical Engineering, Mathematics and Computer Science (supervisor 1)
Faculty
Electrical Engineering, Mathematics and Computer Science
Copyright: © 2022 Thomas van Vroonhoven
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Published Date

26-08-2022

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

This project models collective cell migration and differentiation as part of a wound healing process. The hybrid mathematical model used in this project consists of an agent-based model for the cells combined with a system of coupled partial differential equations for two forms of the growth factor molecule TGF-beta. The model is implemented in Morpheus, a software package designed for the simulation and integration of cell-based models with PDEs. We determine some conditions in which the additional release of TGF-beta by myofibroblasts is conducive to the migration and differentiation of fibroblasts.