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Existence and Uniqueness of Global Classical Solutions to a Two Species Cancer Invasion Haptotaxis Model by Giesselmann, Jan; Kolbe, Niklas; Lukacova-Medvidova, Maria; Sfakianakis, Nikolaos is a scholarly article available to read on EtoBox.

What is Existence and Uniqueness of Global Classical Solutions to a Two Species Cancer Invasion Haptotaxis Model about?

We consider a haptotaxis cancer invasion model that includes two families of cancer cells. Both families, migrate on the extracellular matrix and proliferate. Moreover the model describes an epithelial-to-mesenchymal-like transition between the two families, as well as a degradation and a self-reconstruction process of the extracellular matrix. We prove positivity and conditional global existence and uniqueness of the classical solutions of the problem for large initial data.

Author

Giesselmann, Jan; Kolbe, Niklas; Lukacova-Medvidova, Maria; Sfakianakis, Nikolaos

Published

2017

Language

EN