OPTIMAL CONTROL FOR A NONLINEAR SYSTEM DESCRIBING THE MECHANOCHEMICAL PROCESS IN CELL MORPHOGENESIS

Rencontres Franco-Marocaines en Approximation et Optimisation 2005

Lahcen Ghannam

Others  :  http://www.esaim-proc.org/articles/proc/pdf/2007/04/proc072012.pdf
PID  :  49728

来源: CEUR

【 摘 要 】

In this paper a system of partial di®erential equations is considered that constitutes aone-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.