• Global Solvability and Optimal Control to a Haptotaxis Cancer Invasion Model with Two Cancer Cell Species

    14 days ago - By Springer

    Abstract
    This paper deals with an optimal control problem for a haptotaxis model which describes two types of cancer cell invading the surrounding healthy tissue. Cancer cells can be treated by therapeutic agents considered as the control variable. Our primary goal is to characterize an optimal control which balances the therapeutic benefits with its side effects. Firstly, the global bounded weak solution of state system in spatial dimensions
    \ are obtained by using the Banach fixed-point theorem and a new iteration criterion of
    \ estimates as well as the adapted Moser-type iteration...
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