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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2211.06166 |
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| _version_ | 1866914817318584320 |
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| author | Acosta-Soba, Daniel Castro-González, Carmen Geribaldi-Doldán, Noelia Guillén-González, Francisco Núñez-Abades, Pedro Ortega-Román, Noelia Pérez-García, Patricia Rodríguez-Galván, J. Rafael |
| author_facet | Acosta-Soba, Daniel Castro-González, Carmen Geribaldi-Doldán, Noelia Guillén-González, Francisco Núñez-Abades, Pedro Ortega-Román, Noelia Pérez-García, Patricia Rodríguez-Galván, J. Rafael |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_06166 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Mathematical Modelling of Neuroblast Chemotaxis Migration towards the Olfactory Bulb Acosta-Soba, Daniel Castro-González, Carmen Geribaldi-Doldán, Noelia Guillén-González, Francisco Núñez-Abades, Pedro Ortega-Román, Noelia Pérez-García, Patricia Rodríguez-Galván, J. Rafael Numerical Analysis 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. |
| title | Mathematical Modelling of Neuroblast Chemotaxis Migration towards the Olfactory Bulb |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2211.06166 |