Chemotaxis refers to the directed movement of cells in response to a chemical
signal called chemoattractant. A crucial point in the mathematical modeling of
chemotactic processes is the correct description of the chemotactic sensitivity
and of the production rate of the chemoattractant. In this paper, we
investigate the identification of these non-linear parameter functions in a
chemotaxis model with volume filling. We also discuss the numerical realization
of Tikhonov regularization for the stable solution of the inverse problem. Our
theoretical findings are supported by numerical tests.Comment: Added bibfile missing in v2, no changes on conten