6 citations · 7 across the 4 of their papers we have counts for
5 papers
A model for membrane degradation using a gelatin invadopodia assay
Giorgia Ciavolella, Nathalie Ferrand, Michèle Sabbah +2
One of the most crucial and lethal characteristics of solid tumors is represented by the increased ability of cancer cells to migrate and invade other organs during the so-called m…
Deciphering circulating tumor cells binding in a microfluidic system thanks to a parameterized mathematical model
Giorgia Ciavolella, Julien Granet, Jacky Goetz +3
The spread of metastases is a crucial process in which some questions remain unanswered. In this work, we focus on tumor cells circulating in the bloodstream, the so-called Circula…
Effect of a membrane on diffusion-driven Turing instability
Giorgia Ciavolella
Biological, physical, medical, and numerical applications involving membrane problems on different scales are numerous. We propose an extension of the standard Turing theory to the…
Effective interface conditions for a porous medium type problem
Giorgia Ciavolella, Noemi David, Alexandre Poulain
Motivated by biological applications on tumour invasion through thin membranes, we study a porous-medium type equation where the density of the cell population evolves under Darcy'…
Existence of a global weak solution for a reaction-diffusion problem with membrane conditions
Giorgia Ciavolella, Benoît Perthame
Several problems, issued from physics, biology or the medical science, lead to parabolic equations set in two sub-domains separated by a membrane with selective permeability to spe…