15 citations · 72 across the 26 of their papers we have counts for
30 papers
Numerical simulations of the Gatenby-Gawlinski model with heterogeneous acid diffusion in one space dimension
Chiara Simeoni, Elisa Scanu, Donato Pera +1
In this work, we introduce a variant of the Gatenby-Gawlinski model for acid-mediated tumor invasion in the one-dimensional experimental setting, accounting for heterogeneous diffu…
Shock profiles for hydrodynamic models for fluid-particles flows in the flowing regime
Thierry Goudon, Pauline Lafitte, Corrado Mascia
Starting from coupled fluid-kinetic equations for the modeling of laden flows, we derive relevant viscous corrections to be added to asymptotic hydrodynamic systems, by means of Ch…
Analysis and numerics of the propagation speed for hyperbolic reaction-diffusion models
Corrado Lattanzio, Corrado Mascia, Ramon G. Plaza +1
In this paper, we analyse propagating fronts in the context of hyperbolic theories of dissipative processes. These can be considered as a natural alternative to the more classical…
Propagation fronts in a simplified model of tumor growth with degenerate cross-dependent self-diffusivity
Thierry Gallay, Corrado Mascia
Motivated by tumor growth in Cancer Biology, we provide a complete analysis of existence and non-existence of invasive fronts for the reduced Gatenby--Gawlinski model \[ \partial_t…
Numerical investigation of some reductions for the Gatenby-Gawlinski model
Corrado Mascia, Pierfrancesco Moschetta, Chiara Simeoni
The Gatenby-Gawlinski model for cancer invasion is object of analysis in order to investigate the mathematical framework behind the model working by means of suitable reductions. W…
Hospital management in the COVID-19 emergency: Abelian Sandpile paradigm and beyond
Roberta Martucci, Corrado Mascia, Chiara Simeoni +1
In this article, we propose a mathematical model -- based on a cellular automaton -- for the redistribution of patients within a network of hospitals with limited available resourc…