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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 |
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URN: | urn:nbn:de:hbz:386-kluedo-34401 |
Document Type: | Preprint |
Language of publication: | English |
Date of Publication (online): | 2013/03/06 |
Year of first Publication: | 2013 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2013/03/06 |
Page Number: | 67 |
Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vom 10.09.2012 |