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arXiv · 1005.0207

Modelling the spatial organization of cell proliferation in the developing central nervous system

Jean Clairambault·Vladimir Flores·Benoit Perthame·Melina Rapacioli·Edmundo Rofman·Rafael Verdes
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Abstract

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.

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Jean Clairambault, Vladimir Flores, Benoit Perthame, Melina Rapacioli, Edmundo Rofman, Rafael Verdes. 2010-05-03. Modelling the spatial organization of cell proliferation in the developing central nervous system. https://arxiv.org/abs/1005.0207

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