4 papers · 1 filter
Structure-preserving upwind DG scheme for a Cahn-Hilliard-Darcy model of tumor growth
Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael RodrÃguez-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 RodrÃguez-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…
Property-preserving numerical approximation of a Cahn-Hilliard-Navier-Stokes model with variable density and degenerate mobility
Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael RodrÃguez-Galván +1
In this paper, we present a new computational framework to approximate a Cahn-Hilliard-Navier-Stokes model with variable density and degenerate mobility that preserves the mass of…
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…