20 citations · 43 across the 4 of their papers we have counts for
4 papers
Multiscale continuum-velocity kinetic model for vehicular traffic with local and mean field interactions
J. Calvo, J. Nieto, M. Zagour
This paper deals with the modeling and mathematical analysis of vehicular traffic phenomena according to a kinetic theory approach, where the microscopic state of vehicles is descr…
Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: from subcellular dynamics to macroscopic PDEs with multiple taxis
G. Corbin, C. Engwer, A. Klar +4
We deduce a model for glioma invasion making use of DTI data and accounting for the dynamics of brain tissue being actively degraded by tumor cells via excessive acidity production…
A multiscale model of cell mobility: From a kinetic to a hydrodynamic description
J. Nieto, L. Urrutia
This paper concerns a model for tumor cell migration through the surrounding extracellular matrix by considering mass balance phenomena involving the chemical interactions produced…
On the relativistic BGK-Boltzmann model: asymptotics and hydrodynamics
Abdel Bellouquid, Juan Calvo, Juanjo Nieto +1
The generalization of the BGK relaxation model to the special relativity setting is revisited here. We deal with several issues related to this relativistic kinetic model which see…