Combining plans in radiotherapy treatment planning

Yair Censor, Martin D. Altschuler, William D. Powlis, Morton M. Kligerman

Research output: Contribution to journalArticlepeer-review


In external beam radiotherapy, an interesting situation occurs when several proposed treatment plans approach the desired dose distribution but none fully satisfies it. A mathematical formulation of such a situation is given here and the question of combining realizable but unacceptable plans is posed. Solution methods for this mathematical model are proposed.

Original languageEnglish
Pages (from-to)1035-1037
Number of pages3
JournalMathematical and Computer Modelling
Issue numberC
StatePublished - 1988

Bibliographical note

Funding Information:
We thank our colleaguesD . Gordon, G.T. Herman, A. Lent and R.M. Lewitt for useful discussions of the problem of RTTP. This work has been supportedb y the Departmento f Radiation Therapy of the Hospital of the Universityo f Pennsylvania( HUP) and by NIH Grant HL28438 of the Medical Image ProcessingG roup (MIPG), ;;partmento f Radiology,( HUP),P hiladelphia,


  • Radiotherapy treatment planning
  • acceptability
  • combination of plans
  • realizability
  • treatment plan vector

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Science Applications


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