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Modèles de morphogenèse tissulaire à partir de dynamiques cellulaires intégrées.
Application principale à la croissance radiale secondaire des conifères.

Loïc Forest 1
1 TIMB
TIMC - Techniques de l'Ingénierie Médicale et de la Complexité - Informatique, Mathématiques et Applications, Grenoble - UMR 5525
Abstract : Morphogenetic movements are characterized, at the tissue level, by a succession of cellular events, accurately located temporally and spatially. This work aims to study, using mathematical modelling, how a global morphogenetic movement can be explained by the integration of all the local
dynamics of the cells (proliferation, migration, differentiation,...). The tissue is modelled by a multi-agent system where each cell is individualized. This structure is coupled with partial differential equations which describe a global chemical control.

This method was mainly applied to the secondary radial growth of conifer trees, which is generated by successive divisions and growths of cells of a specialized tissue called cambium. Cambium is modelled by a discrete dynamical system. A partial differential equations model represents the
transport of a hormone whose concentration controls the rate of growth of the cambial cells.

Radial growth is a morphogenetic movement essentially ruled by cellular proliferation. We have also considered the epithelium invagination, where
cell migration and deformation dominate. We have finally studied the importance of the neighbourhood relationships in the cellular differentiation processes.
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Submitted on : Monday, January 23, 2006 - 5:13:24 PM
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Loïc Forest. Modèles de morphogenèse tissulaire à partir de dynamiques cellulaires intégrées.
Application principale à la croissance radiale secondaire des conifères.. Modélisation et simulation. Université Joseph-Fourier - Grenoble I, 2005. Français. ⟨tel-00011401v2⟩

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