Geodesic
optimal control for a nonlinear system describing the mechanochemical process in cell morphogenesis
Lahcen Ghannam1
1 Laboratoire MIP-UMR 5640, Université Paul Sabatier, UFR MIG, 118, route de Narbonne, F-31062 Toulouse Cedex 04, FRANCE;
ESAIM. Proceedings, Tome 20 (2007), pp. 129-137.

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In this paper a system of partial differential equations is considered that constitutes a one-dimensional mechanochemical model of cellular morphogenesis, based on calcium ion regulation of the viscoelastic properties of cellular cortex. Calcium input and out put processes, as well as diffusive effects are accounted in the description of the cell dynamics. The stability behavior under distributed loads and calcium sources at the boundary is investigated. An optimal control problem is formulated which uses loads and calcium sources as control variables. The existence of optimal controls is proved.
DOI : 10.1051/proc:072012

Lahcen Ghannam 1

1 Laboratoire MIP-UMR 5640, Université Paul Sabatier, UFR MIG, 118, route de Narbonne, F-31062 Toulouse Cedex 04, FRANCE; 
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     title = {optimal control for a nonlinear system describing the mechanochemical process in cell morphogenesis},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:072012/}
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Lahcen Ghannam. optimal control for a nonlinear system describing the mechanochemical process in cell morphogenesis. ESAIM. Proceedings, Tome 20 (2007), pp. 129-137. doi : 10.1051/proc:072012. http://geodesic.mathdoc.fr/articles/10.1051/proc:072012/

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