Identification of a chemotactic sensitivity in a coupled system

Autor:	Fister, K. Renee, McCarthy, Maeve L.
Rok vydání:	2007
Předmět:	Mathematics - Optimization and Control Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	Chemotaxis is the process by which cells behave in a way that follows the chemical gradient. Applications to bacteria growth, tissue inflammation, and vascular tumors provide a focus on optimization strategies. Experiments can characterize the form of possible chemotactic sensitivities. This paper addresses the recovery of the chemotactic sensitivity from these experiments while allowing for nonlinear dependence of the parameter on the state variables. The existence of solutions to the forward problem is analyzed. The identification of a chemotactic parameter is determined by inverse problem techniques. Tikhonov regularization is investigated and appropriate convergence results are obtained. Numerical results of concentration dependent chemotactic terms are explored.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0707.2417 Zobrazit plný text záznamu View this record from Arxiv