10 papers
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…
An optimization based 3D-1D coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis
Stefano Berrone, Chiara Giverso, Denise Grappein +2
A new mathematical model and numerical approach are proposed for the simulation of fluid and chemical exchanges between a growing capillary network and the surrounding tissue, in t…
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…
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…
Control of tumour growth distributions through kinetic methods
L. Preziosi, G. Toscani, M. Zanella
The mathematical modeling of tumor growth has a long history, and has been mathematically formulated in several different ways. Here we tackle the problem in the case of a continuo…
Stability of a non-local kinetic model for cell migration with density dependent orientation bias
Nadia Loy, Luigi Preziosi
The aim of the article is to study the stability of a non-local kinetic model proposed by Loy and Preziosi (2019a). We split the population in two subgroups and perform a linear st…