Mathematical Modelling of Collective Cell Migration in Wound Healing

Title

Mathematical Modelling of Collective Cell Migration in Wound Healing

 Author

van Vroonhoven, Thomas (TU Delft Electrical Engineering, Mathematics and Computer Science)

Contributor

Peng, Qiyao (mentor)
Rens, E.G. (mentor)

Degree granting institution

Delft University of Technology

 Programme

Applied Mathematics

 Date

2022-08-26

 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.

 Subject

mathematical biology
Cellular Potts model
wound healing

 To reference this document use:

http://resolver.tudelft.nl/uuid:74996881-d631-4e19-b87e-923c7b8fa398

 Part of collection

Student theses

 Document type

bachelor thesis

 Rights

© 2022 Thomas van Vroonhoven
Files
PDF BA_Thesis_TvV_4483804_.pdf 12.21 MB
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