9th Annual Symposium
Physics of Cancer
Leipzig, Germany
September 24-26, 2018
Invited Talk
Coordination of tissue growth by cell mechanics
Maryam Aliee
Friedrich-August University Erlangen-Nuremberg, Germany, Nägelsbachstraße 49b, 91054 Erlangen, Germany
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Living organisms represent fascinating and precise structures. It is still a big challenge to understand the mechanisms though which cells interact with each other and the environment to form reproducible patterns. We study the challenge of tissue growth with the help of a theoretical model. We develop a continuum model to take into account cell mechanics and growth to study dynamics of tissues. We consider balance of cell number and forces for viscoelastic materials modified by active terms coming from cell division and apoptosis. We solve the equations with analytical and numerical methods. I will present the solutions of these equations for two specific cases. First, I use these equations to understand the nontrivial characteristics of growth of a colony of MDCK cells. In particular, we study the differentiation of the tissue into a dense immobile region surrounded by a moving edge. We also discuss the circumstances under which the accelerating colony border is reproduced.

In the second part, I use this approach to study the case where two cell populations with different homeostatic pressure are separated by an interface. The difference in the homeostatic pressures of two cell types drives the propagation of the interface, corresponding to the invasion of one cell type into the other. The dynamics of the system is described by a generalized version of the Fisher wave equation, which takes into account the coupling between cell number balance and tissue mechanics.
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