2 citations · 2 across the 3 of their papers we have counts for
4 papers
Structure-preserving upwind DG scheme for a Cahn-Hilliard-Darcy model of tumor growth
Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael Rodríguez-Galván
In this work, we develop a structure-preserving numerical scheme for a Cahn-Hilliard-Darcy model that describes tumor growth in a fluid-saturated porous medium. First, we derive a…
On a linear DG approximation of chemotaxis models with damping gradient nonlinearities
Daniel Acosta-Soba, Alessandro Columbu, J. Rafael Rodríguez-Galván
In this work we present a novel linear and positivity preserving upwind discontinuous Galerkin (DG) approximation of a class of chemotaxis models with damping gradient nonlineariti…
Mathematical Modelling of Neuroblast Chemotaxis Migration towards the Olfactory Bulb
Daniel Acosta-Soba, Carmen Castro-González, Noelia Geribaldi-Doldán +5
This article is devoted to the mathematical modeling of migration of neuroblasts, precursor cells of neurons, along the pathway they usually follow before maturing. This pathway is…
Analysis of a fully discrete approximation for the classical Keller--Segel model: lower and a priori bounds
Juan Vicente Gutiérrez-Santacreu, José Rafael Rodríguez-Galván
This paper is devoted to constructing approximate solutions for the classical Keller--Segel model governing \emph{chemotaxis}. It consists of a system of nonlinear parabolic equati…