4.2 Article

A Generic Bioheat Transfer Thermal Model for a Perfused Tissue

Publisher

ASME
DOI: 10.1115/1.3127260

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Funding

  1. Keck foundation. [R01 CA94318, R01 EB0000895, R01 CA94200, C06 RR12147, C06 RR17557, BTRR-P41 RR08079, R01 EB006835, R01 EB007327, P41 RR08079]

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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 wC(p) (1 - epsilon) 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. [DOI: 10.1115/1.3127260]

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