PMID: 2486364Nov 1, 1989Paper

The matching of thermal fields surrounding countercurrent microvessels and the closure approximation in the Weinbaum-Jiji equation

Journal of Biomechanical Engineering
Sheldon Weinbaum, L M Jiji

Abstract

A second order perturbation theory is developed to show the difference between the average artery-vein temperature Tm and the local average tissue temperature theta. This theory demonstrates that the closure approximation in the Weinbaum-Jiji bioheat equation does not require that theta = Tm and that although the difference between these two temperatures is second order the magnitude of the countercurrent convection terms in the Weinbaum-Jiji equation can be of order unity. The theory also shows that to second order this new bioheat equation is the same as the simplified set of one-dimensional model equations used in Baish et al.

Citations

Jan 1, 1996·Annals of Biomedical Engineering·L ZhuS Weinbaum
Aug 1, 1997·Journal of Biomechanical Engineering·S WeinbaumA Ekpene
Jan 4, 1998·Journal of Biomechanical Engineering·J SongS Weinbaum
May 1, 1995·International Journal of Hyperthermia : the Official Journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group·S T CleggT V Samulski
Sep 1, 1995·International Journal of Hyperthermia : the Official Journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group·H Brinck, J Werner
Feb 1, 1994·IEEE Transactions on Bio-medical Engineering·H ArkinK R Holmes
Jun 3, 2005·Bioelectromagnetics·S I AlekseevM C Ziskin
Oct 16, 2008·Physics in Medicine and Biology·Vishal SaxenaGamani Karunasiri

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