Heat conduction in porcine muscle and blood: Experiments and time-fractional telegraph equation model

Amit Madhukar, Yeonsoo Park, Woojae Kim, Hans Julian Sunaryanto, Richard Berlin, Leonardo P. Chamorro, Joseph Bentsman, Martin Ostoja-Starzewski

Research output: Contribution to journalArticle

Abstract

This paper presents experimental evidence for the damped-hyperbolic nature of transient heat conduction in porcine muscle tissue and blood. An examination of integer order and Maxwell–Cattaneo heat conduction models indicates that the latter, in effect resulting in a time-fractional telegraph (TFT) equation, provides the best fit to transient heat phenomena in such materials. The numerical method is verified on Dirichlet and Neumann initial boundary value problems using existing analytical results. Overall, the TFT equation captures the wave-like nature of heat conduction and temperature profiles obtained in experiments, while reducing the need for further tunable parameters.

Original languageEnglish (US)
Article number0726
JournalJournal of the Royal Society Interface
Volume16
Issue number160
DOIs
StatePublished - Nov 1 2019

Keywords

  • Heat conduction in biological tissue
  • Maxwell–Cattaneo heat conduction
  • Time-fractional telegraph equation

ASJC Scopus subject areas

  • Biotechnology
  • Biophysics
  • Bioengineering
  • Biomaterials
  • Biochemistry
  • Biomedical Engineering

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