Abstract
The interaction of the heart and circulation has been of long-standing interest to physiologists, cardiologists, and researchers in biomechanics. In the absence of neural and chemical controls of the circulation, the mechanical coupling of these systems is an important field in itself that must be studied thoroughly before the fully controlled circulation can be understood clearly. Both theoretical and experimental approaches are needed. This study presents a self-consistent theoretical model of a contracting spherical ventricle along with its accompanying outflow valve and circulatory bed (Waldman 1982). The primary emphasis of the analysis is to account for the aortic valve realistically so that its interaction with a model left ventricle and systemic circulation can be studied during ejection when both the ventricular preload and the circulatory afterload vary with time. To this end, theoretical models of each of the three subsystems are derived. The model ventricle is studied independently during isovolumetric contraction to obtain a realistic pressure preceding ejection. Behavior of the ventricle is studied further by allowing it to contract against a known pressure profile. Then the aortic valve is examined with a specified pressure drop. Finally, coupling of the ventricle, valve, and peripheral bed during ejection is examined.
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Waldman, L.K. (1987). Modeling of the Coupling of the Left Ventricle to the Peripheral Circulation. In: Yin, F.C.P. (eds) Ventricular/Vascular Coupling. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8634-6_14
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DOI: https://doi.org/10.1007/978-1-4613-8634-6_14
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