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arXiv · 2211.06166

Mathematical Modelling of Neuroblast Chemotaxis Migration towards the Olfactory Bulb

Daniel Acosta-Soba·Carmen Castro-González·Noelia Geribaldi-Doldán·Francisco Guillén-González·Pedro Núñez-Abades·Noelia Ortega-Román·Patricia Pérez-García·J. Rafael Rodríguez-Galván
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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.

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Daniel Acosta-Soba, Carmen Castro-González, Noelia Geribaldi-Doldán, Francisco Guillén-González, Pedro Núñez-Abades, Noelia Ortega-Román, Patricia Pérez-García, J. Rafael Rodríguez-Galván. 2024-05-31. Mathematical Modelling of Neuroblast Chemotaxis Migration towards the Olfactory Bulb. https://arxiv.org/abs/2211.06166

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