On a class of multiscale cancer cell migration models: Well-posedness in less regular function spaces

  • The aim is to prove global existence and uniqueness of square integrable solutions to a class of multiscale models for tumour cell migration involving chemotaxis, haptotaxis, and subcellular dynamics. This approach allows the tissue fibre and cell densities as well as concentrations of chemotactic signals to be less regular and the conditions sufficient for well-posedness of the multiscale model to be less restrictive than in previous settings.
Author:Thomas Lorenz, Christina Surulescu
URN (permanent link):urn:nbn:de:hbz:386-kluedo-34401
Document Type:Preprint
Language of publication:English
Publication Date:2013/03/06
Year of Publication:2013
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2013/03/06
Number of page:67
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vom 10.09.2012