| Optimal control evaluation of left ventricular systolic dynamics. | |
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MedLine Citation:
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PMID: 7235053 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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A model of the contracting left ventricle was developed, in which the left ventricle was represented as a time-varying compliance. The vascular load included the nonlinear (Bernoulli) resistance of the aortic valve, blood inertance, and a Windkessel model of the arterial tree. Owing to the obligatory aerobic nature of the heart, oxygen consumption can be used to characterize the energy utilized by the myocardium. An adaptive control law was developed for determining the systolic time course of ventricular pressure and volume that minimizes cardiac oxygen consumption. Three main determinants of myocardial oxygen consumption were included in the integral criterion function: developed wall tension, inotropic state, and external (mechanical) work. The optimal control problem was solved using the Pontryagin maximum principle. The model could predict, in good agreement with experimentally obtained data, systolic time course of ventricular pressure and volume, as well as directional changes in the duration of isovolumic contraction and ejection phase under various conditions of end-diastolic volume, mean aortic pressure, and inotropic state. |
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Authors:
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A Livnat; S M Yamashiro |
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Publication Detail:
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Type: Journal Article |
Journal Detail:
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Title: The American journal of physiology Volume: 240 ISSN: 0002-9513 ISO Abbreviation: Am. J. Physiol. Publication Date: 1981 May |
Date Detail:
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Created Date: 1981-07-09 Completed Date: 1981-07-09 Revised Date: 2008-11-21 |
Medline Journal Info:
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Nlm Unique ID: 0370511 Medline TA: Am J Physiol Country: UNITED STATES |
Other Details:
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Languages: eng Pagination: R370-83 Citation Subset: IM; S |
Export Citation:
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| MeSH Terms | |
Descriptor/Qualifier:
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Animals Aorta / physiology Blood Pressure Energy Metabolism Heart Rate Humans Mathematics Models, Cardiovascular* Myocardial Contraction* Myocardium / metabolism Pressure Systole* Ventricular Function |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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