GLOBAL SOLUTIONS TO CHEMOTAXIS-HAPTOTAXIS TUMOR INVASION SYSTEM WITH TISSUE RE-ESTABLISHMENT

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Ensil Kang
Jihoon Lee

Abstract





In this paper, we consider the chemotaxis-haptotaxis model of tumor invasion with the proliferation and tissue re-establishment term in dimensions one and two. We show the global in time existence of a unique classical solution for the the model in two dimensional spatial domain without any restrictions on the coefficients.





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