|M.Sc Student||Ouaknin Gaddiel|
|Subject||Multi Scale Computational Models for Simulating Stochastic|
Collective Cells Migration during Epidermal Wound
|Department||Department of Mechanical Engineering||Supervisor||PROFESSOR EMERITUS Pinhas Bar-Yoseph|
|Full Thesis text|
Where the continuity of the tissue at the epidermis is violated, biological cells regenerate skin in order to heal the wound. The classical approach to model collective biological cell movement is through coupled non-linear reaction-diffusion equations for biological cells and for diffusive chemicals which interact with the biological cells. This approach takes into account the diffusion of cells, proliferation, death of cells and chemotaxis. Whereas the classical approach has many advantages, it fails to consider many factors that affect multi-cell movement. In this work a multi-scale approach, the Glazier Graner Hogeweg (GGH) model, is used. This model is implemented for biological cells coupled with the finite element method for a diffusive chemical. The GGH model takes the biological cell state as discrete and allows it to include cohesive forces between biological cells, deformation of cells, following the path of a single cell, and stochastic behavior of the cells. We propose that the cells secrete a diffusive chemical when they feel a wounded region and that the cells are attracted by the chemical they release (chemotaxis). Under certain parameters the front encounters a fingering morphology. We also propose the proliferation to be a function of a mechanical stimulus; with these mechanisms, wound healing is simulated.