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Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics
journal contribution
posted on 2023-06-09, 18:11 authored by Charles M Elliott, Thomas Ranner, Chandrasekhar VenkataramanChandrasekhar VenkataramanWe consider a coupled bulk-surface system of partial differential equations with nonlinear coupling modelling receptor-ligand dynamics. The model arises as a simpli?cation of a mathematical model for the reaction between cell surface resident receptors and ligands present in the extra-cellular medium. We prove the existence and uniqueness of solutions. We also consider a number of biologically relevant asymptotic limits of the model. We prove convergence to limiting problems which take the form of free boundary problems posed on the cell surface. We also report on numerical simulations illustrating convergence to one of the limiting problems as well as the spatio-temporal distributions of the receptors and ligands in a realistic geometry.
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Publication status
- Published
File Version
- Published version
Journal
SIAM Journal on Mathematical AnalysisISSN
0036-1410Publisher
Society for Industrial and Applied MathematicsExternal DOI
Issue
1Volume
49Page range
360-397Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Mathematics Applied to Biology Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2019-06-27First Open Access (FOA) Date
2019-06-27First Compliant Deposit (FCD) Date
2019-06-24Usage metrics
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