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Minimal value of the maximal dose fraction in the optimization of the radiotherapy scheduling

Listed author(s):
  • Federica Conte


    (Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza")

  • Federico Papa

    (Istituto di Analisi dei Sistemi ed Informatica "A. Ruberti" - CNR)

Registered author(s):

    We report the analytical study of a constrained optimization problem which consists in finding the minimal value of the largest entry of a vector d in R5, with constraints involving the entries sum and the squared entries sum. The solution of the problem studied in this paper provides the proof of a property needed to determine the admissible protocols of the radiotherapy scheduling optimization problem presented in [1], that includes constraints limiting the radiation damages to normal tissues. In particular, we find the minimal value of the maximal dose fraction of the protocols producing the maximal tolerable damage to both early and late responding tissues when there is not a prevalent normal tissue constraint. Then, we extend the property to all the protocols producing the maximal damage to the late responding tissue only.

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    File Function: Revised version, 2013
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    Paper provided by Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza" in its series DIAG Technical Reports with number 2013-12.

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    Length: 13 pages
    Date of creation: Dec 2013
    Handle: RePEc:aeg:report:2013-12
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