A Lumped Parameter Mathematical Model of the Splanchnic Circulation

[+] Author and Article Information
Tai-Ming Chu, Narender P. Reddy

Department of Biomedical Engineering, University of Akron, Akron, Ohio 44325

J Biomech Eng 114(2), 222-226 (May 01, 1992) (5 pages) doi:10.1115/1.2891375 History: Received June 23, 1988; Revised September 01, 1991; Online March 17, 2008


A lumped parameter mathematical model to describe the propulsion of blood in the splanchnic circulation was developed by integrating the principles of mechanics and physiology. A set of governing equations by derived by specifically considering the contractility of the portal vein, hepatic vein, liver sinusoids, and of the draining lymphatics. These equations were then simulated on a computer. The present simulation results substantiate previous experimental observations that hepatic venous pressure leads to portal hypertension and increased liver interstitial fluid volume.

Copyright © 1992 by The American Society of Mechanical Engineers
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