Special Session 18: 

A mathematical model of cell-cell adhesion and its application

Hideki Murakawa
Kyushu University
Japan
Co-Author(s):    
Abstract:
Cell-cell adhesion and cell sorting processes are essential in organ formation during embryonic development and in maintaining multicellular structure. We propose a nonlocal advection-diffusion system as a possible continuous mathematical model for these phenomena. Numerical experiments illustrate that the proposed model is able to replicate different types of phenomena observed in cell-cell adhesion experiments. Furthermore, we will give an application to medical science.