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math.AP2022
The influence of nucleus mechanics in modelling adhesion-independent cell migration in structured and confined environments
Chiara Giverso, Gaspard Jankowiak, Luigi Preziosi +1
Recent biological experiments have shown that certain types of cells are able to move in structured and confined environment even without the activation of focal adhesion. Focusing…
math.AP2021
Effective interface conditions for continuum mechanical models describing the invasion of multiple cell populations through thin membranes
Chiara Giverso, Tommaso Lorenzi, Luigi Preziosi
We consider a continuum mechanical model for the migration of multiple cell populations through parts of tissue separated by thin membranes. In this model, cells belonging to diffe…
math.AP2020
Asymptotic Analysis of a Two-Phase Model of Solid Tumour Growth
Andrea Genovese de Oliveira, John R. King
We investigate avascular tumour growth as a two-phase process consisting of cells and liquid. Based on the one-dimensional continuum moving-boundary model formulated by (Byrne, Kin…