The Bleed Off Perfusion Term in the Weinbaum-Jiji Bioheat Equation

[+] Author and Article Information
S. Weinbaum, L. M. Jiji

Department of Mechanical Engineering, The City College of the City University of New York, New York, NY 10031

D. E. Lemons

Department of Biology, The City College of the City University of New York

J Biomech Eng 114(4), 539-542 (Nov 01, 1992) (4 pages) doi:10.1115/1.2894108 History: Received March 15, 1991; Revised December 30, 1991; Online March 17, 2008


The microvascular organization and thermal equilibration of the primary and secondary arteries and veins that comprise the bleed off circulation to the muscle fibers from the parent countercurrent supply artery and veins are analyzed. The blood perfusion heat source term in the tissue energy equation is shown to be related to this vascular organization and to undergo a fundamental change in behavior as one proceeds from the more peripheral tissue, where the perfusion term is proportional to the Ta - Tv difference in the parent supply vessels, to the deeper tissue layers where the bleed off vessels themselves form a branching countercurrent system for each muscle tissue cylinder and the venous return temperature can vary between the local tissue temperature and Ta . The consequences of this change in behavior are examined for the Weinbaum-Jiji bioheat equation and a modified expression for the effective conductivity of perfused tissue is derived for countercurrent bleed off exchange.

Copyright © 1992 by The American Society of Mechanical Engineers
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