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Fast heat propagation in living tissue caused by branching artery network

V. V. Gafiychuk1, I. A. Lubashevsky2, and B. Y. Datsko3

  • 1Institute of Computer Modeling, Krakow University of Technology, 24 Warszawska Street, 31155, Krakow, Poland
  • 2Theory Department, General Physics Institute, Russian Academy of Sciences, 38, Vavilov Street, Moscow, Russia
  • 3Institute for Applied Problems in Mechanics and Mathematics, National Academy of Sciences of Ukraine, Naukova Street 3b, 79053, Lviv, Ukraine

Phys. Rev. E 72, 051920 – Published 18 November, 2005

DOI: https://doi.org/10.1103/PhysRevE.72.051920

Abstract

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.

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