MATH Seminar
| Title: Collective migration model on a viscoelastic collagen network |
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| Seminar: Analysis and Differential Geometry |
| Speaker: Andrei Tarfulea of Louisiana State University |
| Contact: Maja Taskovic, maja.taskovic@emory.edu |
| Date: 2024-03-27 at 10:00AM |
| Venue: White Hall 110 |
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| Abstract: We explore a model of self-generated directional cell migration on viscoelastic substrates in the absence of apparent intrinsic polarity. Mathematically, this takes the form of a reaction-diffusion equation for the network deformation, along with a moving cell-cluster source term which itself moves according to the local network deformation. This creates a strange form of nonlinear interaction. We show global well-posedness, conditional existence/absence of traveling waves, and address the stability of traveling waves. |
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