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Analysis of the Cardiovascular System by an Analogy with an Electric Circuit and the Modified Windkessel Equation
New Phys.: Sae Mulli 2019; 69: 1212~1219
Published online November 29, 2019;
© 2019 New Physics: Sae Mulli.

Nam Lyong KANG*

Department of Nanomechatronics Engineering, Pusan National University, Miryang 50463, Republic of Korea
Correspondence to:
Received June 7, 2019; Revised September 17, 2019; Accepted September 18, 2019.
cc This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
The purpose of this study is to predict the behavior of circulatory blood flow inside the human body. The cardiovascular system was analyzed using the modified Windkessel model based on an analogy with an electric circuit and considering an exponentially decaying blood pressure. A series solution for the modified Windkessel model was derived using a Laplace transform method when a periodic blood pressure was applied then, the effects of the flow resistance, arterial compliance, and inertia of an artery on the flow rate in the blood vessels were investigated. The solution for the flow rate was found to be consistent with the well-known current-potential relation, and the artery wall replenished the blood taken up in the systolic stage to a peripheral vessel in the diastolic stage. The height of the secondary peak and the depth of dicrotic notch were also found to be determined by the combination of resistance, compliance, and inertia. The present method is expected to give various information for examining the human cardiovascular system.
PACS numbers: 87.19.Hh, 87.19.uj, 87.10.Ed, 87.10.Mn, 87.10.Ca
Keywords: Cardiovascular system, Electric circuit, Flow rate, Modified windkessel model

November 2019, 69 (11)
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