70 citations · 332 across the 25 of their papers we have counts for
4 papers · 1 filter
A coupled geometric surface and surface reaction-diffusion framework for modelling nuclear mechanics during confined cell migration
Francesca Ballatore, Silvia Comunian, Anotida Madzvamuse +2
Confined cell migration is governed by nuclear and cellular deformation. In this work, we formulate a two-dimensional mathematical framework in which the cell and nuclear membranes…
A moving grid finite element method applied to a mechanobiochemical model for 3D cell migration
Laura Murphy, Anotida Madzvamuse
This work presents the development, analysis and numerical simulations of a biophysical model for 3D cell deformation and movement, which couples biochemical reactions and biomecha…
A coupled bulk-surface model for cell polarisation
Davide Cusseddu, Leah Edelstein-Keshet, John A. Mackenzie +2
Several cellular activities, such as directed cell migration, are coordinated by an intricate network of biochemical reactions which lead to a polarised state of the cell, in which…
A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix
Nikolaos Sfakianakis, Anotida Madzvamuse, Mark A. J. Chaplain
The ability to locally degrade the extracellular matrix (ECM) and interact with the tumour microenvironment is a key process distinguishing cancer from normal cells, and is a criti…