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SDRE optimal control of drug administration in cancer treatment
In this study, we apply State Dependent Riccati Equation (SDRE) based optimal control technique to a nonlinear tumor growth model. The model consists of three biological cells which are normal tissue, tumor and immune cells. The effect of chemotherapy treatment is also included in the model. Chemoth...
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| Published in: | Elektrik : Turkish journal of electrical engineering & computer sciences 2010, Vol.18 (5), p.715-729 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c295t-81ac979e641e32d1ba88a581f7c77ac042593971b8bdcbf8ba228760958b9fe23 |
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| container_end_page | 729 |
| container_issue | 5 |
| container_start_page | 715 |
| container_title | Elektrik : Turkish journal of electrical engineering & computer sciences |
| container_volume | 18 |
| creator | BANKS, Stephen Paul SALAMCI, Metin Uymaz İTİK, Mehmet |
| description | In this study, we apply State Dependent Riccati Equation (SDRE) based optimal control technique to a
nonlinear tumor growth model. The model consists of three biological cells which are normal tissue, tumor
and immune cells. The effect of chemotherapy treatment is also included in the model. Chemotherapy administration
is considered as a control input to the nonlinear cancer dynamics and the amount of administered
drug is determined by using SDRE optimal control. The optimal control is applied to the model in order
not only to drive the tumor cells to the healthy equilibrium state but also to minimize the amount of the
drug used. In SDRE control design, we investigate the effects of different weighting matrices in the cost
function to be minimized. Simulation results show that selection of state dependent weighting matrices can
yield positive outcomes such as less drug administration or control of tumor growth in a shorter time period. |
| doi_str_mv | 10.3906/elk-1001-411 |
| format | article |
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nonlinear tumor growth model. The model consists of three biological cells which are normal tissue, tumor
and immune cells. The effect of chemotherapy treatment is also included in the model. Chemotherapy administration
is considered as a control input to the nonlinear cancer dynamics and the amount of administered
drug is determined by using SDRE optimal control. The optimal control is applied to the model in order
not only to drive the tumor cells to the healthy equilibrium state but also to minimize the amount of the
drug used. In SDRE control design, we investigate the effects of different weighting matrices in the cost
function to be minimized. Simulation results show that selection of state dependent weighting matrices can
yield positive outcomes such as less drug administration or control of tumor growth in a shorter time period.</description><identifier>ISSN: 1300-0632</identifier><identifier>DOI: 10.3906/elk-1001-411</identifier><language>eng</language><publisher>TÜBİTAK</publisher><subject>Cancer ; Control Engineering ; drug ; İlaçlar ; Kanser ; Kontrol Mühendisliği ; Oncology ; Onkoloji ; Optimal control ; Optimal denetim ; Riccati denklemi ; Riccati equation ; TGF ; tumor ; Tümör</subject><ispartof>Elektrik : Turkish journal of electrical engineering & computer sciences, 2010, Vol.18 (5), p.715-729</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c295t-81ac979e641e32d1ba88a581f7c77ac042593971b8bdcbf8ba228760958b9fe23</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,4010,27900,27901,27902</link.rule.ids></links><search><creatorcontrib>BANKS, Stephen Paul</creatorcontrib><creatorcontrib>SALAMCI, Metin Uymaz</creatorcontrib><creatorcontrib>İTİK, Mehmet</creatorcontrib><title>SDRE optimal control of drug administration in cancer treatment</title><title>Elektrik : Turkish journal of electrical engineering & computer sciences</title><description>In this study, we apply State Dependent Riccati Equation (SDRE) based optimal control technique to a
nonlinear tumor growth model. The model consists of three biological cells which are normal tissue, tumor
and immune cells. The effect of chemotherapy treatment is also included in the model. Chemotherapy administration
is considered as a control input to the nonlinear cancer dynamics and the amount of administered
drug is determined by using SDRE optimal control. The optimal control is applied to the model in order
not only to drive the tumor cells to the healthy equilibrium state but also to minimize the amount of the
drug used. In SDRE control design, we investigate the effects of different weighting matrices in the cost
function to be minimized. Simulation results show that selection of state dependent weighting matrices can
yield positive outcomes such as less drug administration or control of tumor growth in a shorter time period.</description><subject>Cancer</subject><subject>Control Engineering</subject><subject>drug</subject><subject>İlaçlar</subject><subject>Kanser</subject><subject>Kontrol Mühendisliği</subject><subject>Oncology</subject><subject>Onkoloji</subject><subject>Optimal control</subject><subject>Optimal denetim</subject><subject>Riccati denklemi</subject><subject>Riccati equation</subject><subject>TGF</subject><subject>tumor</subject><subject>Tümör</subject><issn>1300-0632</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><sourceid/><recordid>eNotzs1KAzEUQOEsFKzVnVshLxC9N5mZJCuRWqtQEPxZl5tMRmIzmZJJF769gq7O7uMwdoVwoyx0tyHtBQKgaBBP2AIVgIBOyTN2Ps9fANBCoxfs7u3hdc2nQ40jJe6nXMuU-DTwvhw_OfVjzHGuhWqcMo-Ze8o-FF5LoDqGXC_Y6UBpDpf_XbKPx_X76klsXzbPq_ut8NK2VRgkb7UNXYNByR4dGUOtwUF7rclDI1urrEZnXO_dYBxJaXQHtjXODkGqJbv-c4-J9i6Ou0P5PS7fO8ROmkb9AFN_Rns</recordid><startdate>2010</startdate><enddate>2010</enddate><creator>BANKS, Stephen Paul</creator><creator>SALAMCI, Metin Uymaz</creator><creator>İTİK, Mehmet</creator><general>TÜBİTAK</general><scope/></search><sort><creationdate>2010</creationdate><title>SDRE optimal control of drug administration in cancer treatment</title><author>BANKS, Stephen Paul ; SALAMCI, Metin Uymaz ; İTİK, Mehmet</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c295t-81ac979e641e32d1ba88a581f7c77ac042593971b8bdcbf8ba228760958b9fe23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Cancer</topic><topic>Control Engineering</topic><topic>drug</topic><topic>İlaçlar</topic><topic>Kanser</topic><topic>Kontrol Mühendisliği</topic><topic>Oncology</topic><topic>Onkoloji</topic><topic>Optimal control</topic><topic>Optimal denetim</topic><topic>Riccati denklemi</topic><topic>Riccati equation</topic><topic>TGF</topic><topic>tumor</topic><topic>Tümör</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>BANKS, Stephen Paul</creatorcontrib><creatorcontrib>SALAMCI, Metin Uymaz</creatorcontrib><creatorcontrib>İTİK, Mehmet</creatorcontrib><jtitle>Elektrik : Turkish journal of electrical engineering & computer sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>BANKS, Stephen Paul</au><au>SALAMCI, Metin Uymaz</au><au>İTİK, Mehmet</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>SDRE optimal control of drug administration in cancer treatment</atitle><jtitle>Elektrik : Turkish journal of electrical engineering & computer sciences</jtitle><date>2010</date><risdate>2010</risdate><volume>18</volume><issue>5</issue><spage>715</spage><epage>729</epage><pages>715-729</pages><issn>1300-0632</issn><abstract>In this study, we apply State Dependent Riccati Equation (SDRE) based optimal control technique to a
nonlinear tumor growth model. The model consists of three biological cells which are normal tissue, tumor
and immune cells. The effect of chemotherapy treatment is also included in the model. Chemotherapy administration
is considered as a control input to the nonlinear cancer dynamics and the amount of administered
drug is determined by using SDRE optimal control. The optimal control is applied to the model in order
not only to drive the tumor cells to the healthy equilibrium state but also to minimize the amount of the
drug used. In SDRE control design, we investigate the effects of different weighting matrices in the cost
function to be minimized. Simulation results show that selection of state dependent weighting matrices can
yield positive outcomes such as less drug administration or control of tumor growth in a shorter time period.</abstract><pub>TÜBİTAK</pub><doi>10.3906/elk-1001-411</doi><tpages>15</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Elektrik : Turkish journal of electrical engineering & computer sciences, 2010, Vol.18 (5), p.715-729 |
| issn | 1300-0632 |
| language | eng |
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| subjects | Cancer Control Engineering drug İlaçlar Kanser Kontrol Mühendisliği Oncology Onkoloji Optimal control Optimal denetim Riccati denklemi Riccati equation TGF tumor Tümör |
| title | SDRE optimal control of drug administration in cancer treatment |
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