6 citations · 6 across the 3 of their papers we have counts for
4 papers
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…
From Brain Scans to Therapy Response: PDE Modelling of Immunotherapy for Glioblastoma
Francesca Ballatore, Lorenzo Scolaris, Chiara Giverso
Glioblastoma Multiforme (GBM) is a highly aggressive brain tumour with limited therapeutic options and poor prognosis. This study presents a mathematical framework to investigate t…
A phenotype-structured reaction-diffusion model of avascular glioma growth
Francesca Ballatore, Xinran Ruan, Chiara Giverso +1
We consider a phenotype-structured reaction-diffusion model of avascular glioma growth. The model describes the interaction dynamics between tumour cells and oxygen, and takes into…
Modelling the non-linear viscoelastic behaviour of brain tissue in torsion
G. Small, F. Ballatore, C. Giverso +1
Brain tissue accommodates non-linear deformations and exhibits time-dependent mechanical behaviour. The latter is one of the most pronounced features of brain tissue, manifesting i…