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Technical Briefs

A Generic Bioheat Transfer Thermal Model for a Perfused Tissue

[+] Author and Article Information
Devashish Shrivastava

Center for Magnetic Resonance Research, University of Minnesota, Minneapolis, MN 55455dev@cmrr.umn.edu

J. Thomas Vaughan

Center for Magnetic Resonance Research, University of Minnesota, Minneapolis, MN 55455

J Biomech Eng 131(7), 074506 (Jun 05, 2009) (5 pages) doi:10.1115/1.3127260 History: Received September 30, 2008; Revised March 13, 2009; Published June 05, 2009

A thermal model was needed to predict temperatures in a perfused tissue, which satisfied the following three criteria. One, the model satisfied conservation of energy. Two, the heat transfer rate from blood vessels to tissue was modeled without following a vessel path. Three, the model applied to any unheated and heated tissue. To meet these criteria, a generic bioheat transfer model (BHTM) was derived here by conserving thermal energy in a heated vascularized finite tissue and by making a few simplifying assumptions. Two linear coupled differential equations were obtained with the following two variables: tissue volume averaged temperature and blood volume averaged temperature. The generic model was compared with the widely employed empirical Pennes’ BHTM. The comparison showed that the Pennes’ perfusion term wCp(1ε) should be interpreted as a local vasculature dependent heat transfer coefficient term. Suggestions are presented for further adaptations of the general BHTM for specific tissues using imaging techniques and numerical simulations.

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Copyright © 2009 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

A comparison between the new BHTM and the Pennes’ BHTM in a uniform, one-dimensional, unheated tissue

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