Pump function of the heart as an optimal control problem
In order to model the pump function of the heart the left ventricle is represented as an elastic thick-walled cylinder contracting symmetrically. The acceleration is included in the mathematical formalism describing the contraction of the myocardium and optimal control theory is used to solve the di...
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| Veröffentlicht in: | Journal of biomedical engineering 1991-09, Vol.13 (5), p.384-390 |
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| container_title | Journal of biomedical engineering |
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| creator | Shoucri, R.M. |
| description | In order to model the pump function of the heart the left ventricle is represented as an elastic thick-walled cylinder contracting symmetrically. The acceleration is included in the mathematical formalism describing the contraction of the myocardium and optimal control theory is used to solve the differential equation of motion of the cylindrical wall in such a way as to minimize a given performance index. Application of the equations to experimental data published in the literature is discussed. The mathematical formalism presents a new way to study the time variation of the volume ejected from the left ventricle. Methods to quantify the pump function of the heart are suggested. |
| doi_str_mv | 10.1016/0141-5425(91)90019-4 |
| format | Article |
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The acceleration is included in the mathematical formalism describing the contraction of the myocardium and optimal control theory is used to solve the differential equation of motion of the cylindrical wall in such a way as to minimize a given performance index. Application of the equations to experimental data published in the literature is discussed. The mathematical formalism presents a new way to study the time variation of the volume ejected from the left ventricle. Methods to quantify the pump function of the heart are suggested.</description><subject>Biological and medical sciences</subject><subject>Biomechanical Phenomena</subject><subject>Echocardiography</subject><subject>Elasticity</subject><subject>Fundamental and applied biological sciences. Psychology</subject><subject>Heart</subject><subject>Heart - physiology</subject><subject>mathematical models</subject><subject>Models, Cardiovascular</subject><subject>Myocardial Contraction</subject><subject>pump function</subject><subject>Stroke Volume - physiology</subject><subject>Vertebrates: cardiovascular system</subject><issn>0141-5425</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1991</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNp9kMtKxDAUhrNQxnH0DRS6ENFFNSdN0nQjyOANBnSh65CepkylN5NU8O1t7aA7VwfO_50LHyEnQK-AgrymwCEWnImLDC4zSiGL-R5Z_rYPyKH375RylYJckAWkmRBULol6GZo-KocWQ9W1UVdGYWujrTUuRMZHZmz1oWpMHWHXBtfVUe-6vLbNEdkvTe3t8a6uyNv93ev6Md48PzytbzcxJkqG2KCQSphCKcZSTFBCCSrDPMkTAwZZCVJQzmnOYAwNJjahDETBsOCCpzRZkfN573j3Y7A-6KbyaOvatLYbvE6ZFJKpbAT5DKLrvHe21L0bH3dfGqieJOnJhp5s6Az0jyTNx7HT3f4hb2zxNzQbGvOzXW48mrp0psXK_2KCUsXkhN3MmB1dfFbWaY-VbdEWlbMYdNFV___xDUv3gu8</recordid><startdate>19910901</startdate><enddate>19910901</enddate><creator>Shoucri, R.M.</creator><general>Elsevier Inc</general><general>Butterworth-Heinemann</general><scope>IQODW</scope><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>19910901</creationdate><title>Pump function of the heart as an optimal control problem</title><author>Shoucri, R.M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c386t-ac5685ad88227c3c61f189cb3b3a1ac2f1650440b213c6ac3e30215d2cd454703</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1991</creationdate><topic>Biological and medical sciences</topic><topic>Biomechanical Phenomena</topic><topic>Echocardiography</topic><topic>Elasticity</topic><topic>Fundamental and applied biological sciences. Psychology</topic><topic>Heart</topic><topic>Heart - physiology</topic><topic>mathematical models</topic><topic>Models, Cardiovascular</topic><topic>Myocardial Contraction</topic><topic>pump function</topic><topic>Stroke Volume - physiology</topic><topic>Vertebrates: cardiovascular system</topic><toplevel>online_resources</toplevel><creatorcontrib>Shoucri, R.M.</creatorcontrib><collection>Pascal-Francis</collection><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Journal of biomedical engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Shoucri, R.M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Pump function of the heart as an optimal control problem</atitle><jtitle>Journal of biomedical engineering</jtitle><addtitle>J Biomed Eng</addtitle><date>1991-09-01</date><risdate>1991</risdate><volume>13</volume><issue>5</issue><spage>384</spage><epage>390</epage><pages>384-390</pages><issn>0141-5425</issn><coden>JBIEDR</coden><abstract>In order to model the pump function of the heart the left ventricle is represented as an elastic thick-walled cylinder contracting symmetrically. 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| ispartof | Journal of biomedical engineering, 1991-09, Vol.13 (5), p.384-390 |
| issn | 0141-5425 |
| language | eng |
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| source | MEDLINE; Alma/SFX Local Collection |
| subjects | Biological and medical sciences Biomechanical Phenomena Echocardiography Elasticity Fundamental and applied biological sciences. Psychology Heart Heart - physiology mathematical models Models, Cardiovascular Myocardial Contraction pump function Stroke Volume - physiology Vertebrates: cardiovascular system |
| title | Pump function of the heart as an optimal control problem |
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