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)
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.