70 citations · 191 across the 17 of their papers we have counts for
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Free boundary limits of coupled bulk-surface models for receptor-ligand interactions on evolving domains
Amal Alphonse, Diogo Caetano, Charles M. Elliott +1
We derive various novel free boundary problems as limits of a coupled bulk-surface reaction-diffusion system modelling ligand-receptor dynamics on evolving domains. These limiting…
Multiscale analysis and simulation of a signalling process with surface diffusion
Mariya Ptashnyk, Chandrasekhar Venkataraman
We present and analyse a model for cell signalling processes in biological tissues. The model includes diffusion and nonlinear reactions on the cell surfaces, and both inter- and i…
Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics
Charles M. Elliott, Thomas Ranner, Chandrasekhar Venkataraman
We consider a coupled bulk-surface system of partial differential equations with nonlinear coupling modelling receptor-ligand dynamics. The model arises as a simplification of a ma…
Stability analysis and simulations of coupled bulk-surface reaction-diffusion systems
Anotida Madzvamuse, Andy H. W. Chung, Chandrasekhar Venkataraman
In this article we formulate new models for coupled systems of bulk-surface reaction-diffusion equations on stationary volumes. The bulk reaction-diffusion equations are coupled to…