A generic bioheat transfer thermal model for a perfused tissue.
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.
Shrivastava
Devashish
D
Center for Magnetic Resonance Research, University of Minnesota, Minneapolis, MN 55455, USA. dev@cmrr.umn.edu
Vaughan
J Thomas
JT
D000818:Animals; D001783:Blood Flow Velocity / Q000502:physiology*; D001808:Blood Vessels / Q000502:physiology*; D001831:Body Temperature / Q000502:physiology*; D003198:Computer Simulation; D004735:Energy Transfer / Q000502:physiology*; D006801:Humans; D008954:Models, Biological; D013816:Thermodynamics