Combining plans in radiotherapy treatment planning

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

doi:10.1016/0895-7177(88)90649-8

Combining plans in radiotherapy treatment planning

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	1035-1037
Number of pages	3
Journal	Mathematical and Computer Modelling
Volume	11
Issue number	C
DOIs	https://doi.org/10.1016/0895-7177(88)90649-8
State	Published - 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,

Keywords

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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10.1016/0895-7177(88)90649-8

Cite this

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title = "Combining plans in radiotherapy treatment planning",

abstract = "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.",

keywords = "Radiotherapy treatment planning, acceptability, combination of plans, realizability, treatment plan vector",

author = "Yair Censor and Altschuler, {Martin D.} and Powlis, {William D.} and Kligerman, {Morton M.}",

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,",

year = "1988",

doi = "10.1016/0895-7177(88)90649-8",

language = "English",

volume = "11",

pages = "1035--1037",

journal = "Mathematical and Computer Modelling",

issn = "0895-7177",

publisher = "Elsevier",

number = "C",

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TY - JOUR

T1 - Combining plans in radiotherapy treatment planning

AU - Censor, Yair

AU - Altschuler, Martin D.

AU - Powlis, William D.

AU - Kligerman, Morton M.

N1 - 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,

PY - 1988

Y1 - 1988

N2 - 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.

AB - 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.

KW - Radiotherapy treatment planning

KW - acceptability

KW - combination of plans

KW - realizability

KW - treatment plan vector

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U2 - 10.1016/0895-7177(88)90649-8

DO - 10.1016/0895-7177(88)90649-8

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AN - SCOPUS:45549113316

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VL - 11

SP - 1035

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JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - C

ER -

Combining plans in radiotherapy treatment planning

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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