Artículo
Modelling the spatial organization of cell proliferation in the developing central nervous system
Clairambault, Jean; Flores, Domingo Vladimir
; Perthame, Benoit; Rapacioli, Melina
; Rofman, Edmundo; Verdes, Rafael Venancio
Fecha de publicación:
05/2010
Editorial:
Institut National de Recherche en Informatique et en Automatique
Revista:
Rapports de Recherche
ISSN:
0249-6399
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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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Articulos(SEDE CENTRAL)
Articulos de SEDE CENTRAL
Articulos de SEDE CENTRAL
Citación
Clairambault, Jean; Flores, Domingo Vladimir; Perthame, Benoit; Rapacioli, Melina; Rofman, Edmundo; et al.; Modelling the spatial organization of cell proliferation in the developing central nervous system; Institut National de Recherche en Informatique et en Automatique; Rapports de Recherche; 2010; 5-2010; 1-33
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