Boundary element method analysis for the bioheat transfer equation

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Abstract

In this paper, the boundary element method (BEM) approach is applied to solve the Pennes (1948) bioheat equation. The objective is to develop the BEM formulation and demonstrate its feasibility. The basic BEM formulations for the transient and steady-state cases are first presented. To demonstrate the usefulness of the BEM approach, numerical solutions for 2-D steady-state problems are obtained and compared to analytical solutions. Further, the BEM formulation is applied to model a conjugate problem for an artery imbedded in a perfused heated tissue. Analytical solution is possible when the conduction in the x-direction is negligible. The BEM and analytical results have very good agreement.

Original languageEnglish (US)
Pages (from-to)358-365
Number of pages8
JournalJournal of Biomechanical Engineering
Volume113
Issue number4
DOIs
StatePublished - Aug 1992

ASJC Scopus subject areas

  • Biomedical Engineering
  • Physiology (medical)

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