The force of cell-cell adhesion in determining the outcome in a nonlocal advection diffusion model of wound healing

Author:

Webb Glenn

Abstract

<abstract><p>A model of wound healing is presented to investigate the connection of the force of cell-cell adhesion to the sensing radius of cells in their spatial environment. The model consists of a partial differential equation with nonlocal advection and diffusion terms, describing the movement of cells in a spatial environment. The model is applied to biological wound healing experiments to understand incomplete wound closure. The analysis demonstrates that for each value of the force of adhesion parameter, there is a critical value of the sensing radius above which complete wound healing does not occur.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Biological modeling with nonlocal advection–diffusion equations;Mathematical Models and Methods in Applied Sciences;2023-11-21

2. Modelling Keloids Dynamics: A Brief Review and New Mathematical Perspectives;Bulletin of Mathematical Biology;2023-10-19

3. Bifurcation analysis of critical values for wound closure outcomes in wound healing experiments;Journal of Mathematical Biology;2023-04-01

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