A generic tissue convective energy balance equation: Part I--theory and derivation.
A new equation for calculating temperatures in living tissues, the tissue convective energy balance equation (TCEBE), is derived using only a few assumptions. The resulting equation is basic, general and applicable to any tissue. The (unsolved) TCEBE is used: (a) to relate both Pennes' BHTE perfusion-related parameter (W) and the effective thermal conductivity equation's perfusion-related parameter (keff) to the true capillary perfusion Pcap, and (b) to show that both W and keff are defined, nonphysiological variables, which are only related to Pcap in a problem-dependent manner. Finally, the derivation of the relationship between W and Pcap provides a complete derivation of Pennes' BHTE, something that has not been previously done.
Department of Mechanical Engineering, University of Utah, Salt Lake City 84112, USA.
R B
RB
Roemer
A W
AW
Dutton
D001831:Body Temperature; D004734:Energy Metabolism; D008962:Models, Theoretical; D013814:Thermal Conductivity