Mathematical Modelling of Cell Movement in Fibre Tissues

Thomas Hillen
Dept. of Mathematical & Statistical Sciences, University of Alberta

(May 1, 2008 10:30 AM - 11:30 AM)

Mathematical Modelling of Cell Movement in Fibre Tissues

Abstract

In current studies on cell movement in tissues, Friedl et al. have observed single metastatic cancer cells as they move through collagen network tissue. They show a characteristic form of movement, called "mesenchymal motion". Based on their observations, I will derive mathematical models for mesenchymal motion. On a mesoscopic level, I will formulate transport equations. To obtain macroscopic models in the form of advection-diffusion equations, I will use hyperboplic and parabolic scaling techniques. Numerical simulations of these models show interesting pattern formation in form of networks. I will discuss specific applications and present new results on steady states.