6 papers
Finite element approximation of the enthalpy formulation for Stefan problems on evolving surfaces
Philip J. Herbert, Thomas Sales, Chandrasekhar Venkataraman
We propose, and analyse, a spatially discrete evolving surface finite element method for the approximation of the enthalpy formulation of the two-phase Stefan problem posed on an e…
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…
Linking discrete and continuous models of cell birth and migration
W. Duncan Martinson, Alexandria Volkening, Markus Schmidtchen +2
Self-organisation of individuals within large collectives occurs throughout biology. Mathematical models can help elucidate the individual-level mechanisms behind these dynamics, b…
An individual-based model to explore the impact of psychological stress on immune infiltration into tumour spheroids
Emma Leschiera, Gheed Al-Hity, Melanie S. Flint +4
In recent in vitro experiments on co-culture between breast tumour spheroids and activated immune cells, it was observed that the introduction of the stress hormone cortisol result…
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…
A Bayesian approach to parameter identification with an application to Turing systems
Eduard Campillo-Funollet, Chandrasekhar Venkataraman, Anotida Madzvamuse
We present a Bayesian methodology for infinite as well as finite dimensional parameter identification for partial differential equation models. The Bayesian framework provides a ri…