Coupled Bulk-Surface Free Boundary Problems Arising from a Mathematical Model of Receptor-Ligand Dynamics

@article{Elliott2017CoupledBF,
  title={Coupled Bulk-Surface Free Boundary Problems Arising from a Mathematical Model of Receptor-Ligand Dynamics},
  author={Charles M. Elliott and Thomas Ranner and Chandrasekhar Venkataraman},
  journal={SIAM J. Math. Analysis},
  year={2017},
  volume={49},
  pages={360-397}
}
We consider a coupled bulk-surface system of partial differential equations with nonlinear coupling modeling 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 extracellular medium. We prove the existence and uniqueness of solutions. We… CONTINUE READING