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Free Boundary Problems from a Model for Receptor-Ligand Dynamics

Presented by: 
Chandrasekhar Venkataraman University of St Andrews
Tuesday 8th December 2015 - 10:00 to 11:00
INI Seminar Room 1
Co-authors: Charles Elliott (Warwick), Thomas Ranner (Leeds)

We consider a coupled bulk-surface system of partial differential equations with nonlinear coupling that models receptor-ligand dynamics. The model arises as a simplification of a mathematical model for the reaction between cell surface resident receptors and ligands present in the ECM.

We prove the existence and uniqueness of a solution to the model and we also consider a number of biologically relevant asymptotic limits of the model. We prove convergence to the limiting problems, which take the form of free boundary problems posed on the cell surface. We also present numerical simulations in a realistic geometry.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons