A Generic Tissue Convective Energy Balance Equation: Part I—Theory and Derivation

[+] Author and Article Information
R. B. Roemer, A. W. Dutton

Department of Mechanical Engineering, and Department of Radiation Oncology, University of Utah, Salt Lake City, UT 84112

J Biomech Eng 120(3), 395-404 (Jun 01, 1998) (10 pages) doi:10.1115/1.2798007 History: Received December 07, 1996; Revised September 24, 1997; Online October 30, 2007


A new equation for calculating temperatures in living tissues, the tissue convective energy balance equation (TCEBE), is derived using only a few assumptions. The resulting equation is basic, general and applicable to any tissue. The (unsolved) TCEBE is used: (a) to relate both Pennes’ BHTE perfusion-related parameter (W) and the effective thermal conductivity equation’s perfusion-related parameter (keff ) to the true capillary perfusion Ṗcap , and (b) to show that both W and keff are defined, nonphysiological variables, which are only related to Ṗcap in a problem-dependent manner. Finally, the derivation of the relationship between W and Ṗcap provides a complete derivation of Pennes’ BHTE, something that has not been previously done.

Copyright © 1998 by The American Society of Mechanical Engineers
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