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Predicate | Object |
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rdf:type | |
lifeskim:mentions | |
pubmed:issue |
4 Pt 2
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pubmed:dateCreated |
1994-6-10
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pubmed:abstractText |
Discrete theoretical methods, compatible with the discrete features of the beating heart, are used together with experimental study to attain a quantitative understanding of the transient response to a volume perturbation and of sustained mechanical alternans (SMA) in the beating heart. This is done in three stages. In stage A, a first-order difference equation describes the stroke volume (SV) response due to the Frank-Starling mechanism. It is shown that the value of gamma, the slope of the SV-end-diastolic volume curve, determines the type of response obtained because of a perturbation: 1) nonoscillatory decay for gamma < 1,2) oscillatory decay for 1 < gamma < 2, 3) SMA for gamma = 2, and 4) chaotic response for gamma > 2. In stage B, when the effect of each SV change on the successive end-diastolic aortic pressure (P) is considered, SV response to a perturbation is determined by a second-order difference equation. The solution of this equation shows that the response is determined by gamma and by the afterload factor lambda 1 = alpha 1.delta, where alpha 1 = delta Pj + 1/delta SVj and delta = delta SVj + 1/delta Pj + 1. The responses are a nonoscillatory decay for lambda 1 < 1 - gamma (type 1), oscillatory decay for 1 - (gamma/2) > lambda 1 > 1 - gamma (type 2), SMA for lambda 1 = 1 - gamma/2 (type 3), and 2:1 electrical-mechanical response for lambda 1 > 1 - gamma/2 (type 4). In stage C, a single volume perturbation, delta SVj, will directly affect not only Pj + 1 but also the subsequent values of P. Filling volume perturbations performed with a mitral valve occluder in eight anesthetized dogs led only to type 1 and 2 responses. The responses predicted by the model (using the experimental values of gamma and lambda 1) in each of the eight open-chest dogs are compatible with the experimental responses, suggesting that it is unlikely that SMA is initiated and maintained by variations in preload and afterload.
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pubmed:grant | |
pubmed:language |
eng
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pubmed:journal | |
pubmed:citationSubset |
IM
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pubmed:status |
MEDLINE
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pubmed:month |
Apr
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pubmed:issn |
0002-9513
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pubmed:author | |
pubmed:issnType |
Print
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pubmed:volume |
266
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pubmed:owner |
NLM
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pubmed:authorsComplete |
Y
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pubmed:pagination |
H1657-71
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pubmed:dateRevised |
2007-11-15
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pubmed:meshHeading |
pubmed-meshheading:8184945-Animals,
pubmed-meshheading:8184945-Blood Volume,
pubmed-meshheading:8184945-Computer Simulation,
pubmed-meshheading:8184945-Dogs,
pubmed-meshheading:8184945-Heart Rate,
pubmed-meshheading:8184945-Hemodynamics,
pubmed-meshheading:8184945-Humans,
pubmed-meshheading:8184945-Models, Cardiovascular
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pubmed:year |
1994
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pubmed:articleTitle |
Modeling the transient response to volume perturbations in the beating heart by the difference equation method.
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pubmed:affiliation |
Department of Biomedical Engineering, Hadassah University Hospital, Ein Kerem, Jerusalem, Israel.
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pubmed:publicationType |
Journal Article,
Comparative Study,
Research Support, U.S. Gov't, P.H.S.
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