Mathematical Modelling of Neuroblast Chemotaxis Migration towards the Olfactory Bulb
Numerical Analysis
2024-06-03 v3 Numerical Analysis
Abstract
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 determined mainly by chemotaxis and the heterogeneous mobility of neuroblasts in different regions of the brain. In numerical simulations, the application of novel discontinuous Galerkin methods allows to maintain the properties of the continuous model such as the maximum principle. We present some successful computer tests including parameter adjust to fit real data from rodent brains.
Keywords
Cite
@article{arxiv.2211.06166,
title = {Mathematical Modelling of Neuroblast Chemotaxis Migration towards the Olfactory Bulb},
author = {Daniel Acosta-Soba and Carmen Castro-González and Noelia Geribaldi-Doldán and Francisco Guillén-González and Pedro Núñez-Abades and Noelia Ortega-Román and Patricia Pérez-García and J. Rafael Rodríguez-Galván},
journal= {arXiv preprint arXiv:2211.06166},
year = {2024}
}