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MISRA JC, DANDAPAT S, ADHIKARY SD. STRESS DISTRIBUTION IN THE LEFT VENTRICULAR WALL DURING CARDIAC CONTRACTION: STUDY OF A MATHEMATICAL MODEL. J MECH MED BIOL 2021. [DOI: 10.1142/s0219519420500566] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Of concern in the paper is an analytical study of the left ventricular wall stresses due to cardiac contraction. The study has been performed by developing a mathematical model for the intact heart, where the heart is represented as a volume of revolution of cardiod. The study is based on the consideration that during systole, the interstitial pressure is negligibly small compared to the left ventricular pressure. It is assumed that the shear stress on the outer surface of the heart is zero except in the region where the right ventricle wraps around the left ventricle. The results indicate that the increased diastolic filling contracts the ventricle more forcefully, whereby a larger amount of blood is ejected. This is in agreement with the Frank-Starling principle. Theoretical analysis of another alternative model for the heart, viz. a volume of revolution of lemniscate is also presented.
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Affiliation(s)
- J. C. MISRA
- Centre for Healthcare Science and Technology, Indian Institute of Engineering Science and Technology, Howrah 711103, India
| | - S. DANDAPAT
- Indian Institute of Technology, Kharagpur, India
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