Identification of Chemotaxis Models with Volume Filling
Analysis of PDEs
2015-01-08 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1404.7780,
title = {Identification of Chemotaxis Models with Volume Filling},
author = {Herbert Egger and Jan-Frederik Pietschmann and Matthias Schlottbom},
journal= {arXiv preprint arXiv:1404.7780},
year = {2015}
}
Comments
Added bibfile missing in v2, no changes on content