University of Cambridge > > Partial Differential Equations seminar > Free Boundary Problems from a Model for Receptor-Ligand Dynamics

Free Boundary Problems from a Model for Receptor-Ligand Dynamics

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If you have a question about this talk, please contact Harsha Hutridurga.

We consider a coupled bulk-surface system of partial differential equations with nonlinear coupling, that models receptor-ligand dynamics, as well as some biologically relevant asymptotic limits of the model. The model arises as a simplification of a mathematical model for the reaction between cell surface resident receptors and ligands present in the bulk region surrounding the cell.

We discuss the existence and uniqueness of solutions to the original and limiting problems and also comment on connections with classical free boundary problems. The theoretical results are supported with a number of numerical simulations.

The talk is based on joint work with C. Elliott (Warwick) and T. Ranner (Leeds).

This talk is part of the Partial Differential Equations seminar series.

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