4 papers
Modeling tumor growth with variable mass and angiogenesis-driven perfusion through a 3D-1D coupled framework
Chiara Giverso, Denise Grappein, Stefano Scialò
Tumor growth beyond a critical size relies on the development of a functional vascular network, which ensures adequate oxygen and nutrient supply. In this work, we present a modeli…
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…