IDEAS home Printed from
MyIDEAS: Log in (now much improved!) to save this paper

Optimal solution for a cancer radiotherapy problem with a maximal damage constraint on normal tissues

Listed author(s):
  • Federico Papa


    (Dipartimento di Informatica e Sistemistica "Antonio Ruberti" Sapienza, Universita' di Roma)

  • Carmela Sinisgalli


    (Istituto di Analisi dei Sistemi ed Informatica A. Ruberti" - CNR Viale Manzoni 30, 00185 Roma, Italy)

Registered author(s):

    In Bertuzzi et al. [1] we addressed the problem of finding the optimal radiotherapy fractionation scheme, representing the response to radiation of tumour and normal tissues by the LQ model including exponential repopulation and sublethal damage due to incomplete repair. We formulated the nonlinear programming problem of maximizing the overall tumour damage, while keeping the damages to the late and early responding normal tissues within a given admissible level. In the present paper we show the results for a simpler optimization problem, containing only the constraint related to the late normal tissue that reduces to an equality constraint under suitable assumptions. In fact, it has been shown in [1] that, suitably choosing the maximal damage values, the problem here considered is equivalent to the more general one, in that their extremals, and then their optimal solutions, coincide. The optimum is searched over a single week of treatment and its possible structures are identified. We characterize the optimal solution in terms of model parameters. Apart from limit values of the parameters, we prove that the optimal solution is unique and never consisting of five equal fractions per week. This is interesting in comparison to the uniform fractionation schemes commonly used in radiotherapy.

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

    File URL:
    File Function: First version, 2011
    Download Restriction: no

    Paper provided by Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza" in its series DIS Technical Reports with number 2011-07.

    in new window

    Date of creation: 2011
    Handle: RePEc:aeg:wpaper:2011-7
    Contact details of provider: Phone: +390677274140
    Fax: +39 0677274129
    Web page:

    More information through EDIRC

    No references listed on IDEAS
    You can help add them by filling out this form.

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    When requesting a correction, please mention this item's handle: RePEc:aeg:wpaper:2011-7. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Antonietta Angelica Zucconi)

    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 references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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

    This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.