| Autor: |
Clairambault, Jean, Flores, Vladimir, Perthame, Benoit, Rapacioli, Melina, Rofman, Edmundo, Verdes, Rafael |
| Rok vydání: |
2010 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
How far is neuroepithelial cell proliferation in the developing central nervous system a deterministic process? Or, to put it in a more precise way, how accurately can it be described by a deterministic mathematical model? To provide tracks to answer this question, a deterministic system of transport and diffusion partial differential equations, both physiologically and spatially structured, is introduced as a model to describe the spatially organized process of cell proliferation during the development of the central nervous system. As an initial step towards dealing with the three-dimensional case, a unidimensional version of the model is presented. Numerical analysis and numerical tests are performed. In this work we also achieve a first experimental validation of the proposed model, by using cell proliferation data recorded from histological sections obtained during the development of the optic tectum in the chick embryo. |
| Databáze: |
arXiv |
| Externí odkaz: |
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