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 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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e-mail: dev@cmrr.umn.edu
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July 2009
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A Generic Bioheat Transfer Thermal Model for a Perfused Tissue
Devashish Shrivastava,
Devashish Shrivastava
Center for Magnetic Resonance Research,
e-mail: dev@cmrr.umn.edu
University of Minnesota
, Minneapolis, MN 55455
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J. Thomas Vaughan
J. Thomas Vaughan
Center for Magnetic Resonance Research,
University of Minnesota
, Minneapolis, MN 55455
Search for other works by this author on:
Devashish Shrivastava
Center for Magnetic Resonance Research,
University of Minnesota
, Minneapolis, MN 55455e-mail: dev@cmrr.umn.edu
J. Thomas Vaughan
Center for Magnetic Resonance Research,
University of Minnesota
, Minneapolis, MN 55455J Biomech Eng. Jul 2009, 131(7): 074506 (5 pages)
Published Online: June 5, 2009
Article history
Received:
September 30, 2008
Revised:
March 13, 2009
Published:
June 5, 2009
Citation
Shrivastava, D., and Vaughan, J. T. (June 5, 2009). "A Generic Bioheat Transfer Thermal Model for a Perfused Tissue." ASME. J Biomech Eng. July 2009; 131(7): 074506. https://doi.org/10.1115/1.3127260
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