3 citations · 4 across the 2 of their papers we have counts for
7 papers
Numerical investigations of the bulk-surface wave pinning model
Davide Cusseddu, Anotida Madzvamuse
The bulk-surface wave pinning model is a reaction-diffusion system for studying cell polarisation. It is constituted by a surface reaction-diffusion equation, coupled to a bulk dif…
Dynamics of shadow system of a singular Gierer-Meinhardt system on an evolving domain
Nikos. I. Kavallaris, Raquel Barreira, Anotida Madzvamuse
The main purpose of the current paper is to contribute towards the comprehension of the dynamics of the shadow system of a singular Gierer-Meinhardt model on an isotropically evolv…
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…
Stability analysis and parameter classification of a reaction-diffusion model on non-compact circular geometries
Wakil Sarfaraz, Anotida Madzvamuse
This work explores the influence of domain size of a non-compact two dimensional annular domain on the evolution of pattern formation that is modelled by an \textit{activator-deple…
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…
Domain-dependent stability analysis and parameter classification of a reaction-diffusion model on spherical geometries
Wakil Sarfaraz, Anotida Madzvamuse
In this work an activator-depleted reaction-diffusion system is investigated on polar coordinates with the aim of exploring the relationship and the corresponding influence of doma…