Impact of using linear optimization models in dose planning for HDR brachytherapy
Purpose: Dose plans generated with optimization models hitherto used in high-dose-rate (HDR) brachytherapy have shown a tendency to yield longer dwell times than manually optimized plans. Concern has been raised for the corresponding undesired hot spots, and various methods to mitigate these have be...
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| Veröffentlicht in: | Medical physics (Lancaster) 2012-02, Vol.39 (2), p.1021-1028 |
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| creator | Holm, Åsa Larsson, Torbjörn Carlsson Tedgren, Åsa |
| description | Purpose:
Dose plans generated with optimization models hitherto used in high-dose-rate (HDR) brachytherapy have shown a tendency to yield longer dwell times than manually optimized plans. Concern has been raised for the corresponding undesired hot spots, and various methods to mitigate these have been developed. The hypotheses upon this work is based are (a) that one cause for the long dwell times is the use of objective functions comprising simple linear penalties and (b) that alternative penalties, as these are piecewise linear, would lead to reduced length of individual dwell times.
Methods:
The characteristics of the linear penalties and the piecewise linear penalties are analyzed mathematically. Experimental comparisons between the two types of penalties are carried out retrospectively for a set of prostate cancer patients.
Results:
When the two types of penalties are compared, significant changes can be seen in the dwell times, while most dose-volume parameters do not differ significantly. On average, total dwell times were reduced by 4.2%, with a reduction of maximum dwell times by 25%, when the alternative penalties were used.
Conclusions:
The use of linear penalties in optimization models for HDR brachytherapy is one cause for the undesired long dwell times that arise in mathematically optimized plans. By introducing alternative penalties, a significant reduction in dwell times can be achieved for HDR brachytherapy dose plans. Although various measures for mitigating the long dwell times are already available, the observation that linear penalties contribute to their appearance is of fundamental interest. |
| doi_str_mv | 10.1118/1.3676179 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_pubme</sourceid><recordid>TN_cdi_pubmed_primary_22320812</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>953193434</sourcerecordid><originalsourceid>FETCH-LOGICAL-c5139-fb2f350174790d1132efd022643d123e3af961758afa2b0199ee3388d4cd76ce3</originalsourceid><addsrcrecordid>eNp9kU1v1DAQhi0EotuFA38AWeKAhEjxV-L4UqlqC61UxIeAq-U4465REgc7oVp-Pd5mqZBQkQ9z8DPvOzMvQs8oOaKU1m_oEa9kRaV6gFZMSF4IRtRDtCJEiYIJUh6gw5S-E0IqXpLH6IAxzkhN2Qp9uuxHYyccHJ6TH65x5wcwEYdx8r3_ZSYfBtyHFrqE_YDbkACPnRmGHetCxBdnn3ETjd1spw1EM26foEfOdAme7usafX17_uX0orj68O7y9OSqsCXlqnANc3kYKoVUpKWUM3AtYawSvKWMAzdO5ZXK2jjDGkKVAuC8rlthW1lZ4Gv0etFNNzDOjR6j703c6mC8PvPfTnSI17rzs66krKuMv1jwkCavk_UT2I0NwwB20izfq5aCZerlQo0x_JghTbr3yUKXN4YwJ61KThUX-a3R8z05Nz20d_Z_TpuBYgFufAfbu39K9C4zTfU-M_3-465k_ni_T57t9u739yyh6eD0bWh6F1oWeHWfwM8Q_zIcW_c_-B83_hsK_rgp</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>953193434</pqid></control><display><type>article</type><title>Impact of using linear optimization models in dose planning for HDR brachytherapy</title><source>Wiley Online Library - AutoHoldings Journals</source><source>MEDLINE</source><source>SWEPUB Freely available online</source><source>Alma/SFX Local Collection</source><creator>Holm, Åsa ; Larsson, Torbjörn ; Carlsson Tedgren, Åsa</creator><creatorcontrib>Holm, Åsa ; Larsson, Torbjörn ; Carlsson Tedgren, Åsa</creatorcontrib><description>Purpose:
Dose plans generated with optimization models hitherto used in high-dose-rate (HDR) brachytherapy have shown a tendency to yield longer dwell times than manually optimized plans. Concern has been raised for the corresponding undesired hot spots, and various methods to mitigate these have been developed. The hypotheses upon this work is based are (a) that one cause for the long dwell times is the use of objective functions comprising simple linear penalties and (b) that alternative penalties, as these are piecewise linear, would lead to reduced length of individual dwell times.
Methods:
The characteristics of the linear penalties and the piecewise linear penalties are analyzed mathematically. Experimental comparisons between the two types of penalties are carried out retrospectively for a set of prostate cancer patients.
Results:
When the two types of penalties are compared, significant changes can be seen in the dwell times, while most dose-volume parameters do not differ significantly. On average, total dwell times were reduced by 4.2%, with a reduction of maximum dwell times by 25%, when the alternative penalties were used.
Conclusions:
The use of linear penalties in optimization models for HDR brachytherapy is one cause for the undesired long dwell times that arise in mathematically optimized plans. By introducing alternative penalties, a significant reduction in dwell times can be achieved for HDR brachytherapy dose plans. Although various measures for mitigating the long dwell times are already available, the observation that linear penalties contribute to their appearance is of fundamental interest.</description><identifier>ISSN: 0094-2405</identifier><identifier>EISSN: 2473-4209</identifier><identifier>DOI: 10.1118/1.3676179</identifier><identifier>PMID: 22320812</identifier><identifier>CODEN: MPHYA6</identifier><language>eng</language><publisher>United States: American Association of Physicists in Medicine</publisher><subject>BRACHYTHERAPY ; Brachytherapy - methods ; cancer ; COMPARATIVE EVALUATIONS ; Computer Simulation ; DOSE RATES ; Dose‐volume analysis ; DOSIMETRY ; Dosimetry/exposure assessment ; HOT SPOTS ; Humans ; Inequalities ; Linear Models ; LINEAR PROGRAMMING ; Male ; MATEMATIK ; MATHEMATICS ; Medical treatment planning ; Models, Biological ; NEOPLASMS ; Numerical modeling ; optimisation ; OPTIMIZATION ; Piecewise linear functions ; piecewise linear techniques ; PROSTATE ; Prostatic Neoplasms - radiotherapy ; RADIATION DOSES ; Radiation therapy ; Radioactive sources ; RADIOLOGY AND NUCLEAR MEDICINE ; Radiometry - methods ; Radiotherapy Dosage ; Radiotherapy Planning, Computer-Assisted - methods ; Signal generators ; Therapeutic applications, including brachytherapy ; Tissues ; Treatment planning</subject><ispartof>Medical physics (Lancaster), 2012-02, Vol.39 (2), p.1021-1028</ispartof><rights>American Association of Physicists in Medicine</rights><rights>2012 American Association of Physicists in Medicine</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c5139-fb2f350174790d1132efd022643d123e3af961758afa2b0199ee3388d4cd76ce3</citedby><cites>FETCH-LOGICAL-c5139-fb2f350174790d1132efd022643d123e3af961758afa2b0199ee3388d4cd76ce3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1118%2F1.3676179$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1118%2F1.3676179$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>230,314,550,776,780,881,1411,27903,27904,45553,45554</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/22320812$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/22098742$$D View this record in Osti.gov$$Hfree_for_read</backlink><backlink>$$Uhttps://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-67786$$DView record from Swedish Publication Index$$Hfree_for_read</backlink></links><search><creatorcontrib>Holm, Åsa</creatorcontrib><creatorcontrib>Larsson, Torbjörn</creatorcontrib><creatorcontrib>Carlsson Tedgren, Åsa</creatorcontrib><title>Impact of using linear optimization models in dose planning for HDR brachytherapy</title><title>Medical physics (Lancaster)</title><addtitle>Med Phys</addtitle><description>Purpose:
Dose plans generated with optimization models hitherto used in high-dose-rate (HDR) brachytherapy have shown a tendency to yield longer dwell times than manually optimized plans. Concern has been raised for the corresponding undesired hot spots, and various methods to mitigate these have been developed. The hypotheses upon this work is based are (a) that one cause for the long dwell times is the use of objective functions comprising simple linear penalties and (b) that alternative penalties, as these are piecewise linear, would lead to reduced length of individual dwell times.
Methods:
The characteristics of the linear penalties and the piecewise linear penalties are analyzed mathematically. Experimental comparisons between the two types of penalties are carried out retrospectively for a set of prostate cancer patients.
Results:
When the two types of penalties are compared, significant changes can be seen in the dwell times, while most dose-volume parameters do not differ significantly. On average, total dwell times were reduced by 4.2%, with a reduction of maximum dwell times by 25%, when the alternative penalties were used.
Conclusions:
The use of linear penalties in optimization models for HDR brachytherapy is one cause for the undesired long dwell times that arise in mathematically optimized plans. By introducing alternative penalties, a significant reduction in dwell times can be achieved for HDR brachytherapy dose plans. Although various measures for mitigating the long dwell times are already available, the observation that linear penalties contribute to their appearance is of fundamental interest.</description><subject>BRACHYTHERAPY</subject><subject>Brachytherapy - methods</subject><subject>cancer</subject><subject>COMPARATIVE EVALUATIONS</subject><subject>Computer Simulation</subject><subject>DOSE RATES</subject><subject>Dose‐volume analysis</subject><subject>DOSIMETRY</subject><subject>Dosimetry/exposure assessment</subject><subject>HOT SPOTS</subject><subject>Humans</subject><subject>Inequalities</subject><subject>Linear Models</subject><subject>LINEAR PROGRAMMING</subject><subject>Male</subject><subject>MATEMATIK</subject><subject>MATHEMATICS</subject><subject>Medical treatment planning</subject><subject>Models, Biological</subject><subject>NEOPLASMS</subject><subject>Numerical modeling</subject><subject>optimisation</subject><subject>OPTIMIZATION</subject><subject>Piecewise linear functions</subject><subject>piecewise linear techniques</subject><subject>PROSTATE</subject><subject>Prostatic Neoplasms - radiotherapy</subject><subject>RADIATION DOSES</subject><subject>Radiation therapy</subject><subject>Radioactive sources</subject><subject>RADIOLOGY AND NUCLEAR MEDICINE</subject><subject>Radiometry - methods</subject><subject>Radiotherapy Dosage</subject><subject>Radiotherapy Planning, Computer-Assisted - methods</subject><subject>Signal generators</subject><subject>Therapeutic applications, including brachytherapy</subject><subject>Tissues</subject><subject>Treatment planning</subject><issn>0094-2405</issn><issn>2473-4209</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><sourceid>D8T</sourceid><recordid>eNp9kU1v1DAQhi0EotuFA38AWeKAhEjxV-L4UqlqC61UxIeAq-U4465REgc7oVp-Pd5mqZBQkQ9z8DPvOzMvQs8oOaKU1m_oEa9kRaV6gFZMSF4IRtRDtCJEiYIJUh6gw5S-E0IqXpLH6IAxzkhN2Qp9uuxHYyccHJ6TH65x5wcwEYdx8r3_ZSYfBtyHFrqE_YDbkACPnRmGHetCxBdnn3ETjd1spw1EM26foEfOdAme7usafX17_uX0orj68O7y9OSqsCXlqnANc3kYKoVUpKWUM3AtYawSvKWMAzdO5ZXK2jjDGkKVAuC8rlthW1lZ4Gv0etFNNzDOjR6j703c6mC8PvPfTnSI17rzs66krKuMv1jwkCavk_UT2I0NwwB20izfq5aCZerlQo0x_JghTbr3yUKXN4YwJ61KThUX-a3R8z05Nz20d_Z_TpuBYgFufAfbu39K9C4zTfU-M_3-465k_ni_T57t9u739yyh6eD0bWh6F1oWeHWfwM8Q_zIcW_c_-B83_hsK_rgp</recordid><startdate>201202</startdate><enddate>201202</enddate><creator>Holm, Åsa</creator><creator>Larsson, Torbjörn</creator><creator>Carlsson Tedgren, Åsa</creator><general>American Association of Physicists in Medicine</general><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>7X8</scope><scope>OTOTI</scope><scope>ABXSW</scope><scope>ADTPV</scope><scope>AOWAS</scope><scope>D8T</scope><scope>DG8</scope><scope>ZZAVC</scope></search><sort><creationdate>201202</creationdate><title>Impact of using linear optimization models in dose planning for HDR brachytherapy</title><author>Holm, Åsa ; Larsson, Torbjörn ; Carlsson Tedgren, Åsa</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c5139-fb2f350174790d1132efd022643d123e3af961758afa2b0199ee3388d4cd76ce3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>BRACHYTHERAPY</topic><topic>Brachytherapy - methods</topic><topic>cancer</topic><topic>COMPARATIVE EVALUATIONS</topic><topic>Computer Simulation</topic><topic>DOSE RATES</topic><topic>Dose‐volume analysis</topic><topic>DOSIMETRY</topic><topic>Dosimetry/exposure assessment</topic><topic>HOT SPOTS</topic><topic>Humans</topic><topic>Inequalities</topic><topic>Linear Models</topic><topic>LINEAR PROGRAMMING</topic><topic>Male</topic><topic>MATEMATIK</topic><topic>MATHEMATICS</topic><topic>Medical treatment planning</topic><topic>Models, Biological</topic><topic>NEOPLASMS</topic><topic>Numerical modeling</topic><topic>optimisation</topic><topic>OPTIMIZATION</topic><topic>Piecewise linear functions</topic><topic>piecewise linear techniques</topic><topic>PROSTATE</topic><topic>Prostatic Neoplasms - radiotherapy</topic><topic>RADIATION DOSES</topic><topic>Radiation therapy</topic><topic>Radioactive sources</topic><topic>RADIOLOGY AND NUCLEAR MEDICINE</topic><topic>Radiometry - methods</topic><topic>Radiotherapy Dosage</topic><topic>Radiotherapy Planning, Computer-Assisted - methods</topic><topic>Signal generators</topic><topic>Therapeutic applications, including brachytherapy</topic><topic>Tissues</topic><topic>Treatment planning</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Holm, Åsa</creatorcontrib><creatorcontrib>Larsson, Torbjörn</creatorcontrib><creatorcontrib>Carlsson Tedgren, Åsa</creatorcontrib><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>MEDLINE - Academic</collection><collection>OSTI.GOV</collection><collection>SWEPUB Linköpings universitet full text</collection><collection>SwePub</collection><collection>SwePub Articles</collection><collection>SWEPUB Freely available online</collection><collection>SWEPUB Linköpings universitet</collection><collection>SwePub Articles full text</collection><jtitle>Medical physics (Lancaster)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Holm, Åsa</au><au>Larsson, Torbjörn</au><au>Carlsson Tedgren, Åsa</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Impact of using linear optimization models in dose planning for HDR brachytherapy</atitle><jtitle>Medical physics (Lancaster)</jtitle><addtitle>Med Phys</addtitle><date>2012-02</date><risdate>2012</risdate><volume>39</volume><issue>2</issue><spage>1021</spage><epage>1028</epage><pages>1021-1028</pages><issn>0094-2405</issn><eissn>2473-4209</eissn><coden>MPHYA6</coden><abstract>Purpose:
Dose plans generated with optimization models hitherto used in high-dose-rate (HDR) brachytherapy have shown a tendency to yield longer dwell times than manually optimized plans. Concern has been raised for the corresponding undesired hot spots, and various methods to mitigate these have been developed. The hypotheses upon this work is based are (a) that one cause for the long dwell times is the use of objective functions comprising simple linear penalties and (b) that alternative penalties, as these are piecewise linear, would lead to reduced length of individual dwell times.
Methods:
The characteristics of the linear penalties and the piecewise linear penalties are analyzed mathematically. Experimental comparisons between the two types of penalties are carried out retrospectively for a set of prostate cancer patients.
Results:
When the two types of penalties are compared, significant changes can be seen in the dwell times, while most dose-volume parameters do not differ significantly. On average, total dwell times were reduced by 4.2%, with a reduction of maximum dwell times by 25%, when the alternative penalties were used.
Conclusions:
The use of linear penalties in optimization models for HDR brachytherapy is one cause for the undesired long dwell times that arise in mathematically optimized plans. By introducing alternative penalties, a significant reduction in dwell times can be achieved for HDR brachytherapy dose plans. Although various measures for mitigating the long dwell times are already available, the observation that linear penalties contribute to their appearance is of fundamental interest.</abstract><cop>United States</cop><pub>American Association of Physicists in Medicine</pub><pmid>22320812</pmid><doi>10.1118/1.3676179</doi><tpages>8</tpages><oa>free_for_read</oa></addata></record> |
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| source | Wiley Online Library - AutoHoldings Journals; MEDLINE; SWEPUB Freely available online; Alma/SFX Local Collection |
| subjects | BRACHYTHERAPY Brachytherapy - methods cancer COMPARATIVE EVALUATIONS Computer Simulation DOSE RATES Dose‐volume analysis DOSIMETRY Dosimetry/exposure assessment HOT SPOTS Humans Inequalities Linear Models LINEAR PROGRAMMING Male MATEMATIK MATHEMATICS Medical treatment planning Models, Biological NEOPLASMS Numerical modeling optimisation OPTIMIZATION Piecewise linear functions piecewise linear techniques PROSTATE Prostatic Neoplasms - radiotherapy RADIATION DOSES Radiation therapy Radioactive sources RADIOLOGY AND NUCLEAR MEDICINE Radiometry - methods Radiotherapy Dosage Radiotherapy Planning, Computer-Assisted - methods Signal generators Therapeutic applications, including brachytherapy Tissues Treatment planning |
| title | Impact of using linear optimization models in dose planning for HDR brachytherapy |
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