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A Dynamic Programming Approach for Approximate Optimal Control for Cancer Therapy

Author

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  • A. Nowakowski

    (University of Lodz)

  • A. Popa

    (University of Lodz)

Abstract

In the last 15 years, tumor anti-angiogenesis became an active area of research in medicine and also in mathematical biology, and several models of dynamics and optimal controls of angiogenesis have been described. We use the Hamilton–Jacobi approach to study the numerical analysis of approximate optimal solutions to some of those models earlier analysed from the point of necessary optimality conditions in the series of papers by Ledzewicz and Schaettler.

Suggested Citation

  • A. Nowakowski & A. Popa, 2013. "A Dynamic Programming Approach for Approximate Optimal Control for Cancer Therapy," Journal of Optimization Theory and Applications, Springer, vol. 156(2), pages 365-379, February.
    • Handle: RePEc:spr:joptap:v:156:y:2013:i:2:d:10.1007_s10957-012-0137-z
    DOI: 10.1007/s10957-012-0137-z
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    References listed on IDEAS

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    1. Robert S. Kerbel, 1997. "A cancer therapy resistant to resistance," Nature, Nature, vol. 390(6658), pages 335-336, November.
    2. Thomas Boehm & Judah Folkman & Timothy Browder & Michael S. O'Reilly, 1997. "Antiangiogenic therapy of experimental cancer does not induce acquired drug resistance," Nature, Nature, vol. 390(6658), pages 404-407, November.
    3. A. Nowakowski, 2008. "ε-Value Function and Dynamic Programming," Journal of Optimization Theory and Applications, Springer, vol. 138(1), pages 85-93, July.
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