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

Federica Conte () and Federico Papa
Additional contact information
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

No 2013-12, DIAG Technical Reports from Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza"

Abstract: 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.

Keywords: Nonlinear programming; Cancer radiotherapy (search for similar items in EconPapers)
Pages: 13 pages
Date: 2013-12
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.dis.uniroma1.it/~bibdis/RePEc/aeg/report/2013-12.pdf Revised version, 2013 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:aeg:report:2013-12

Access Statistics for this paper

More papers in DIAG Technical Reports from Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza" Contact information at EDIRC.
Bibliographic data for series maintained by Antonietta Angelica Zucconi ( this e-mail address is bad, please contact ).