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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

Abstract

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 $wCp(1−ε)$ 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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Figures

Figure 1

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

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