Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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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)
  • Received : 2015.01.17
  • Accepted : 2015.02.04
  • Published : 2015.02.15
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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

Acknowledgement

Supported by : Chosun University

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