A Mathematical Model for the Estimation of Heart Volumes from Indicator Dilution Curves
The estimation of ventricular volumes by indicator dilution methods is subject to errors resulting from incomplete mixing and nonuniform sampling. A mathematical model is proposed which theoretically permits calculation of these errors. The model allows for nonuniform distribution of indicator in th...
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Veröffentlicht in: | Circulation research 1967-03, Vol.20 (3), p.299-305 |
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description | The estimation of ventricular volumes by indicator dilution methods is subject to errors resulting from incomplete mixing and nonuniform sampling. A mathematical model is proposed which theoretically permits calculation of these errors. The model allows for nonuniform distribution of indicator in the ventricle and for nonuniform representation of the end-diastolic volume (EDV) in the systolic ejectate. It is assumed that the concentration of indicator and the flow at a given cross section of the aorta are uniform but not necessarily the same at a different cross section, or at different times during the cardiac cycle. In respect to the validity of the popular formula, EDV = SV/l-K (K = average residual fraction), it was shown that the conditions traditionally believed to be satisfying for accurate measurements of EDV are neither sufficient nor necessary. Less restrictive alternative conditions sufficient for accurate measurements are proposed. |
doi_str_mv | 10.1161/01.RES.20.3.299 |
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A mathematical model is proposed which theoretically permits calculation of these errors. The model allows for nonuniform distribution of indicator in the ventricle and for nonuniform representation of the end-diastolic volume (EDV) in the systolic ejectate. It is assumed that the concentration of indicator and the flow at a given cross section of the aorta are uniform but not necessarily the same at a different cross section, or at different times during the cardiac cycle. In respect to the validity of the popular formula, EDV = SV/l-K (K = average residual fraction), it was shown that the conditions traditionally believed to be satisfying for accurate measurements of EDV are neither sufficient nor necessary. Less restrictive alternative conditions sufficient for accurate measurements are proposed.</description><identifier>ISSN: 0009-7330</identifier><identifier>EISSN: 1524-4571</identifier><identifier>DOI: 10.1161/01.RES.20.3.299</identifier><identifier>PMID: 5337894</identifier><language>eng</language><publisher>United States: American Heart Association, Inc</publisher><subject>Heart ; Humans ; Indicator Dilution Techniques ; Mathematics ; Models, Theoretical</subject><ispartof>Circulation research, 1967-03, Vol.20 (3), p.299-305</ispartof><rights>1967 American Heart Association, Inc.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c4143-9f2f8d8ba02702b9f6a3cbb228967dd4f47b7c7313d3599ffbb7aea1bae6b2623</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,3687,27924,27925</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/5337894$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Homer, Louis D</creatorcontrib><creatorcontrib>Krayenbuehl, Hans P</creatorcontrib><title>A Mathematical Model for the Estimation of Heart Volumes from Indicator Dilution Curves</title><title>Circulation research</title><addtitle>Circ Res</addtitle><description>The estimation of ventricular volumes by indicator dilution methods is subject to errors resulting from incomplete mixing and nonuniform sampling. A mathematical model is proposed which theoretically permits calculation of these errors. The model allows for nonuniform distribution of indicator in the ventricle and for nonuniform representation of the end-diastolic volume (EDV) in the systolic ejectate. It is assumed that the concentration of indicator and the flow at a given cross section of the aorta are uniform but not necessarily the same at a different cross section, or at different times during the cardiac cycle. In respect to the validity of the popular formula, EDV = SV/l-K (K = average residual fraction), it was shown that the conditions traditionally believed to be satisfying for accurate measurements of EDV are neither sufficient nor necessary. Less restrictive alternative conditions sufficient for accurate measurements are proposed.</description><subject>Heart</subject><subject>Humans</subject><subject>Indicator Dilution Techniques</subject><subject>Mathematics</subject><subject>Models, Theoretical</subject><issn>0009-7330</issn><issn>1524-4571</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1967</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNo9kE1PAyEQhonRaK2ePZlw8rbb4aPLcjS1WhONiZ9HAruQVtmisKvx34u28QSZ95nJzIPQCYGSkIpMgJT384eSQslKKuUOGpEp5QWfCrKLRgAgC8EYHKDDlF4BCGdU7qP9KWOilnyEXs7xre6XttP9qtEe34bWeuxCxLmI56lf_SZhjYPDC6tjj5-DHzqbsIuhw9frNrf1Gb9Y-eEPnA3x06YjtOe0T_Z4-47R0-X8cbYobu6urmfnN0XD8y6FdNTVbW00UAHUSFdp1hhDaS0r0bbccWFEIxhhLZtK6ZwxQltNjLaVoRVlY3S2mfsew8dgU6-6VWqs93ptw5BUzXkFnMoMTjZgE0NK0Tr1HvNt8VsRUL8qFRCVVSoKiqmsMnecbkcPprPtP791l3O-yb-C721Mb374slEtrfb9UmX1wIDQguRL8g-g-CuxHxdUftg</recordid><startdate>196703</startdate><enddate>196703</enddate><creator>Homer, Louis D</creator><creator>Krayenbuehl, Hans P</creator><general>American Heart Association, Inc</general><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>196703</creationdate><title>A Mathematical Model for the Estimation of Heart Volumes from Indicator Dilution Curves</title><author>Homer, Louis D ; Krayenbuehl, Hans P</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4143-9f2f8d8ba02702b9f6a3cbb228967dd4f47b7c7313d3599ffbb7aea1bae6b2623</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1967</creationdate><topic>Heart</topic><topic>Humans</topic><topic>Indicator Dilution Techniques</topic><topic>Mathematics</topic><topic>Models, Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Homer, Louis D</creatorcontrib><creatorcontrib>Krayenbuehl, Hans P</creatorcontrib><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>Circulation research</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Homer, Louis D</au><au>Krayenbuehl, Hans P</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Mathematical Model for the Estimation of Heart Volumes from Indicator Dilution Curves</atitle><jtitle>Circulation research</jtitle><addtitle>Circ Res</addtitle><date>1967-03</date><risdate>1967</risdate><volume>20</volume><issue>3</issue><spage>299</spage><epage>305</epage><pages>299-305</pages><issn>0009-7330</issn><eissn>1524-4571</eissn><abstract>The estimation of ventricular volumes by indicator dilution methods is subject to errors resulting from incomplete mixing and nonuniform sampling. 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Less restrictive alternative conditions sufficient for accurate measurements are proposed.</abstract><cop>United States</cop><pub>American Heart Association, Inc</pub><pmid>5337894</pmid><doi>10.1161/01.RES.20.3.299</doi><tpages>7</tpages><oa>free_for_read</oa></addata></record> |
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source | MEDLINE; American Heart Association Journals; Journals@Ovid Complete; EZB-FREE-00999 freely available EZB journals |
subjects | Heart Humans Indicator Dilution Techniques Mathematics Models, Theoretical |
title | A Mathematical Model for the Estimation of Heart Volumes from Indicator Dilution Curves |
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