IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v156y2013i2d10.1007_s10957-012-0137-z.html
   My bibliography  Save this article

A Dynamic Programming Approach for Approximate Optimal Control for Cancer Therapy

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-012-0137-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-012-0137-z?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Robert S. Kerbel, 1997. "A cancer therapy resistant to resistance," Nature, Nature, vol. 390(6658), pages 335-336, November.
    2. A. Nowakowski, 2008. "ε-Value Function and Dynamic Programming," Journal of Optimization Theory and Applications, Springer, vol. 138(1), pages 85-93, July.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Thomas Schuster, 2003. "Meta-Communication and Market Dynamics. Reflexive Interactions of Financial Markets and the Mass Media," Finance 0307014, University Library of Munich, Germany.
    2. U. Ledzewicz & H. Schättler, 2012. "Multi-input Optimal Control Problems for Combined Tumor Anti-angiogenic and Radiotherapy Treatments," Journal of Optimization Theory and Applications, Springer, vol. 153(1), pages 195-224, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joptap:v:156:y:2013:i:2:d:10.1007_s10957-012-0137-z. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.