15 citations · 26 across the 8 of their papers we have counts for
9 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…
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…
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…
GPU-based parallel simulations of the Gatenby-Gawlinski model with anisotropic, heterogeneous acid diffusion
Corrado Mascia, Donato Pera, Chiara Simeoni
We introduce a variant of the Gatenby-Gawlinski model for acid-mediated tumor invasion, accounting for anisotropic and heterogeneous diffusion of the lactic acid across the surroun…
Spectral stability of traveling fronts for nonlinear hyperbolic equations of bistable type
Corrado Lattanzio, Corrado Mascia, Ramón G. Plaza +1
This paper addresses the existence and spectral stability of traveling fronts for nonlinear hyperbolic equations with a positive "damping" term and a reaction function of bistable…
Kinetic schemes for assessing stability of traveling fronts for the Allen-Cahn equation with relaxation
Corrado Lattanzio, Corrado Mascia, Ramón G. Plaza +1
This paper deals with the numerical (finite volume) approximation of reaction-diffusion systems with relaxation, among which the hyperbolic extension of the Allen--Cahn equation re…
Analytical and numerical investigation of traveling waves for the Allen-Cahn model with relaxation
Corrado Lattanzio, Corrado Mascia, Ramon G. Plaza +1
A modification of the parabolic Allen-Cahn equation, determined by the substitution of Fick's diffusion law with a relaxation relation of Cattaneo-Maxwell type, is considered. The…
A chemotactic model for interaction of antagonistic microflora colonies: front asymptotics and numerical simulations
Carlos Malaga, Antonmaria Minzoni, Ramon G. Plaza +1
This paper studies a two-dimensional chemotactic model for two species in which one of them produces a chemo-repellent for the other. It is shown asymptotically and numerically how…