The University of Arizona

Modelling, simulation and mathematical analysis of cellular and tissue morphogenesis

Modelling, simulation and mathematical analysis of cellular and tissue morphogenesis

Series: Mathematics Colloquium
Location: Math 501
Presenter: Dietmar Oelz, Queensland

Shape and active motion of biological cells is closely linked to active force generation and remodelling of their cytoskeletons. In collective cell migration and tissue-level morphogenesis the cytoskeletons of adjacent cells are coupled both, mechanically and by mechanochemical feedback.
 
In this talk we explore several approaches to model, simulate and analyze these phenomena starting with particle based models. I use them as the basis for detailed numerical simulations and for the derivation of more coarse-grained fluid type models which are amenable to mathematical analysis.
 
Specifically, I will discuss the simulation of the microtubule cytoskeleton in neuron cells to gain insight into the mechanisms which drive the growth of axons and dendrites. I will introduce a particle model for cell division rings and derive a fluid type continuum model to analyse its predictions. And finally I will introduce a 1D model to describe collective cell migration in an epithelial sheet. Its travelling wave analysis can be made explicit and it predicts a polarization speed and associated wave speed which we could ultimately observe in experiments.

Refreshments will be served in the Math Commons Room at 3:30 PM

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