publication . Preprint . 2002

Anomalous properties of heat diffusion in living tissue caused by branching artery network. Qualitative description

Lubashevsky, I. A.; Gafiychuk, V. V.; Datsko, B. Y.;
Open Access English
  • Published: 05 Jan 2002
We analyze the effect of blood flow through large arteries of peripheral circulation on heat transfer in living tissue. Blood flow in such arteries gives rise to fast heat propagation over large scales, which is described in terms of heat superdiffusion. The corresponding bioheat heat equation is derived. In particular, we show that under local strong heating of a small tissue domain the temperature distribution inside the surrounding tissue is affected substantially by heat superdiffusion.
free text keywords: Condensed Matter - Soft Condensed Matter, Quantitative Biology
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[15] Initially the factor f was phenomenologically introduced in the bioheat equation to take into account a certain renormalization of the blood perfusion rate caused by the counter-current effect [11, 12, 13]. Its theoretical estimate was later obtained independently by Weinbaum et al. [6] and Gafiychuk & Lubashevsky [3] (announced for the first time in [14]).

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