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math.AP2025
Multi-component phase separation and small deformations of a spherical biomembrane
Diogo Caetano, Charles M. Elliott, Maurizio Grasselli +1
We focus on the derivation and analysis of a model for multi-component phase separation occurring on biological membranes, inspired by observations of lipid raft formation. The mod…
math.AP2024
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…