Analysis of ill-posedness and numerical methods of solving a nonlinear inverse problem in pharmacokinetics for the two-compartmental model with extravascular drug administration
A nonlinear inverse problem of pharmacokinetics for the dual-compartment model with extravascular route of the drug administration is considered. The problem is significantly ill-posed: its solution is not unique and is unstable. We discuss nonuniqueness of the inverse problem and the degree of ill-...
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| Veröffentlicht in: | Journal of inverse and ill-posed problems 2012-03, Vol.20 (1), p.39-64 |
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| container_end_page | 64 |
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| container_issue | 1 |
| container_start_page | 39 |
| container_title | Journal of inverse and ill-posed problems |
| container_volume | 20 |
| creator | Ilyin, A. Kabanikhin, S. I. Nurseitov, D. B. Nurseitova, A. T. Asmanova, N. A. Voronov, D. A. Bakytov, D. |
| description | A nonlinear inverse problem of pharmacokinetics for the
dual-compartment model with extravascular route of the drug
administration is considered. The problem is significantly ill-posed: its solution is not unique and is
unstable. We discuss nonuniqueness of the inverse problem and the degree of ill-posedness. The initial problem is reduced to a linear operator equation by linearization. It is demonstrated that the resolving ability
of the inverse problem can be improved by varying of the location of measurement data points. Results of numerical experiments are presented. The question of choosing the initial approximations is considered. |
| doi_str_mv | 10.1515/jip-2012-0202 |
| format | Article |
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dual-compartment model with extravascular route of the drug
administration is considered. The problem is significantly ill-posed: its solution is not unique and is
unstable. We discuss nonuniqueness of the inverse problem and the degree of ill-posedness. The initial problem is reduced to a linear operator equation by linearization. It is demonstrated that the resolving ability
of the inverse problem can be improved by varying of the location of measurement data points. Results of numerical experiments are presented. The question of choosing the initial approximations is considered.</description><identifier>ISSN: 0928-0219</identifier><identifier>EISSN: 1569-3945</identifier><identifier>DOI: 10.1515/jip-2012-0202</identifier><language>eng</language><publisher>Berlin: Walter de Gruyter GmbH & Co. KG</publisher><subject>Algorithms ; ill-posedness ; Inverse pharmacokinetic problem ; Inverse problems ; Methods ; nonuniqueness ; numerical algorithms ; Optimization</subject><ispartof>Journal of inverse and ill-posed problems, 2012-03, Vol.20 (1), p.39-64</ispartof><rights>Copyright Walter de Gruyter GmbH Mar 2012</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-3f4c81ed794bee659441577d542b2d47a1f88dfeea38362fa526799dd78033053</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.degruyter.com/document/doi/10.1515/jip-2012-0202/pdf$$EPDF$$P50$$Gwalterdegruyter$$H</linktopdf><linktohtml>$$Uhttps://www.degruyter.com/document/doi/10.1515/jip-2012-0202/html$$EHTML$$P50$$Gwalterdegruyter$$H</linktohtml><link.rule.ids>314,780,784,27915,27916,66515,68299</link.rule.ids></links><search><creatorcontrib>Ilyin, A.</creatorcontrib><creatorcontrib>Kabanikhin, S. I.</creatorcontrib><creatorcontrib>Nurseitov, D. B.</creatorcontrib><creatorcontrib>Nurseitova, A. T.</creatorcontrib><creatorcontrib>Asmanova, N. A.</creatorcontrib><creatorcontrib>Voronov, D. A.</creatorcontrib><creatorcontrib>Bakytov, D.</creatorcontrib><title>Analysis of ill-posedness and numerical methods of solving a nonlinear inverse problem in pharmacokinetics for the two-compartmental model with extravascular drug administration</title><title>Journal of inverse and ill-posed problems</title><description>A nonlinear inverse problem of pharmacokinetics for the
dual-compartment model with extravascular route of the drug
administration is considered. The problem is significantly ill-posed: its solution is not unique and is
unstable. We discuss nonuniqueness of the inverse problem and the degree of ill-posedness. The initial problem is reduced to a linear operator equation by linearization. It is demonstrated that the resolving ability
of the inverse problem can be improved by varying of the location of measurement data points. Results of numerical experiments are presented. The question of choosing the initial approximations is considered.</description><subject>Algorithms</subject><subject>ill-posedness</subject><subject>Inverse pharmacokinetic problem</subject><subject>Inverse problems</subject><subject>Methods</subject><subject>nonuniqueness</subject><subject>numerical algorithms</subject><subject>Optimization</subject><issn>0928-0219</issn><issn>1569-3945</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNptkU1v1DAQhi1EJZaWY--WOBv8EScxt6qCglSJC5wjbzzpenHs4HF22Z_FP6yX5cCB03zomXc08xJyK_g7oYV-v_cLk1xIxiWXL8hG6NYwZRr9kmy4kX3tC_OKvEbccy46LeWG_L6LNpzQI00T9SGwJSG4CIjURkfjOkP2ow10hrJL7g-GKRx8fKKWxhSDj2Az9fEAGYEuOW0DzLWmy87m2Y7pRyWKH5FOKdOyA1qOiY1pXmwuM8RyFk8OAj36sqPwq2R7sDiuocq6vNY9bvbRY-0Xn-INuZpsQHjzN16T758-frv_zB6_Pny5v3tkoxJtYWpqxl6A60yzBWi1aRqhu87pRm6lazorpr53E4BVvWrlZLVsO2Oc63quFNfqmry96NaTfq6AZdinNddv4SC0kkIp1YlKsQs15oSYYRqW7GebT4Pgw9mVoboynF0Zzq5U_sOFP9pQIDt4yuupJv-I_2-uJsqoZ6ULmFM</recordid><startdate>201203</startdate><enddate>201203</enddate><creator>Ilyin, A.</creator><creator>Kabanikhin, S. I.</creator><creator>Nurseitov, D. B.</creator><creator>Nurseitova, A. T.</creator><creator>Asmanova, N. A.</creator><creator>Voronov, D. A.</creator><creator>Bakytov, D.</creator><general>Walter de Gruyter GmbH & Co. KG</general><general>Walter de Gruyter GmbH</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201203</creationdate><title>Analysis of ill-posedness and numerical methods of solving a nonlinear inverse problem in pharmacokinetics for the two-compartmental model with extravascular drug administration</title><author>Ilyin, A. ; Kabanikhin, S. I. ; Nurseitov, D. B. ; Nurseitova, A. T. ; Asmanova, N. A. ; Voronov, D. A. ; Bakytov, D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-3f4c81ed794bee659441577d542b2d47a1f88dfeea38362fa526799dd78033053</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Algorithms</topic><topic>ill-posedness</topic><topic>Inverse pharmacokinetic problem</topic><topic>Inverse problems</topic><topic>Methods</topic><topic>nonuniqueness</topic><topic>numerical algorithms</topic><topic>Optimization</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ilyin, A.</creatorcontrib><creatorcontrib>Kabanikhin, S. I.</creatorcontrib><creatorcontrib>Nurseitov, D. B.</creatorcontrib><creatorcontrib>Nurseitova, A. T.</creatorcontrib><creatorcontrib>Asmanova, N. A.</creatorcontrib><creatorcontrib>Voronov, D. A.</creatorcontrib><creatorcontrib>Bakytov, D.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Journal of inverse and ill-posed problems</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ilyin, A.</au><au>Kabanikhin, S. I.</au><au>Nurseitov, D. B.</au><au>Nurseitova, A. T.</au><au>Asmanova, N. A.</au><au>Voronov, D. A.</au><au>Bakytov, D.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analysis of ill-posedness and numerical methods of solving a nonlinear inverse problem in pharmacokinetics for the two-compartmental model with extravascular drug administration</atitle><jtitle>Journal of inverse and ill-posed problems</jtitle><date>2012-03</date><risdate>2012</risdate><volume>20</volume><issue>1</issue><spage>39</spage><epage>64</epage><pages>39-64</pages><issn>0928-0219</issn><eissn>1569-3945</eissn><abstract>A nonlinear inverse problem of pharmacokinetics for the
dual-compartment model with extravascular route of the drug
administration is considered. The problem is significantly ill-posed: its solution is not unique and is
unstable. We discuss nonuniqueness of the inverse problem and the degree of ill-posedness. The initial problem is reduced to a linear operator equation by linearization. It is demonstrated that the resolving ability
of the inverse problem can be improved by varying of the location of measurement data points. Results of numerical experiments are presented. The question of choosing the initial approximations is considered.</abstract><cop>Berlin</cop><pub>Walter de Gruyter GmbH & Co. KG</pub><doi>10.1515/jip-2012-0202</doi><tpages>26</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0928-0219 |
| ispartof | Journal of inverse and ill-posed problems, 2012-03, Vol.20 (1), p.39-64 |
| issn | 0928-0219 1569-3945 |
| language | eng |
| recordid | cdi_proquest_journals_1532133371 |
| source | De Gruyter journals |
| subjects | Algorithms ill-posedness Inverse pharmacokinetic problem Inverse problems Methods nonuniqueness numerical algorithms Optimization |
| title | Analysis of ill-posedness and numerical methods of solving a nonlinear inverse problem in pharmacokinetics for the two-compartmental model with extravascular drug administration |
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