Heat Transfer Normal to Paired Arterioles and Venules Embedded in Perfused Tissue During Hyperthermia

[+] Author and Article Information
C. K. Charny, R. L. Levin

Department of Biomedical Engineering, The Johns Hopkins University School of Medicine, Baltimore, Md. 21205, and Biomedical Engineering and Instrumentation Branch, Division of Research Services, National Institutes of Health, Bethesda, Md. 20892

J Biomech Eng 110(4), 277-282 (Nov 01, 1988) (6 pages) doi:10.1115/1.3108442 History: Received February 12, 1988; Revised July 23, 1988; Online June 12, 2009


A numerical model of the heat transer normal to an arteriole-venule pair embedded in muscle tissue has been constructed. Anatomical data describing the blood vessel size, spacing, and density have been incorporated into the model. This model computes temperatures along the vessel walls as well as the temperature throughout the tissue which comprises an infinitely long Krogh cylinder around the vessel pair. Tissue temperatures were computed in the steady-state under resting conditions, while transient calculations were made under hyperthermic conditions. Results show that for both large- (1st generation) and medium-sized (5th generation) vessel pairs, the mean tissue temperature within the tissue cylinder is not equal to the mean of the arteriole and venule blood temperatures under both steady-state and transient conditions. The numerical data were reduced so that a comparison could be made with the predictions of a simple two-dimensional superposition of line sources and sinks presented by Baish et al. [1]. This comparison reveals that the superposition model accurately describes the heat transfer effects during hyperthermia, permitting subsequent incorporation of this theory into a realistic three-dimensional model of heat transfer in a whole limb during hyperthermia.

Copyright © 1988 by ASME
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