Dimensionless solutions and general characteristics of bioheat transfer during thermal therapy

Junnosuke Okajima, Shigenao Maruyama, Hiroki Takeda, Atsuki Komiya

Research output: Contribution to journalArticlepeer-review

64 Citations (Scopus)


The derivation and application of the general characteristics of bioheat transfer for medical applications are shown in this paper. Two general bioheat transfer characteristics are derived from solutions of one-dimensional Pennes' bioheat transfer equation: steady-state thermal penetration depth, which is the deepest depth where the heat effect reaches; and time to reach steady-state, which represents the amount of time necessary for temperature distribution to converge to a steady-state. All results are described by dimensionless form; therefore, these results provide information on temperature distribution in biological tissue for various thermal therapies by transforming to dimension form.

Original languageEnglish
Pages (from-to)377-384
Number of pages8
JournalJournal of Thermal Biology
Issue number8
Publication statusPublished - 2009 Dec


  • Analytical solution
  • Bioheat transfer equation
  • Dimensionless analysis
  • Temperature estimation
  • Thermal therapy

ASJC Scopus subject areas

  • Biochemistry
  • Physiology
  • Agricultural and Biological Sciences(all)
  • Developmental Biology


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