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http://dx.doi.org/10.14403/jcms.2015.28.1.161

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

Kang, Ensil (Department of Mathematics Chosun University)
Lee, Jihoon (Department of Mathematics Chung-Ang University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.28, no.1, 2015 , pp. 161-172 More about this Journal
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.
Keywords
haptotaxis; chemotaxis; existence of solution; tissue re-establishment; a priori estimates; cancer invasion;
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