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Modelling of biological tissue damage process with application of interval arithmetic

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

In the paper, the numerical analysis of thermal processes proceeding in a 2D soft biological tissue subjected to laser irradiation is presented. The transient heat transfer is described by the bioheat transfer equation in Pennes formulation. The internal heat source resulting from the laser-tissue interaction based on the solution of the diffusion equation is taken into account. Thermophysical and optical parameters of the tissue are assumed as directed intervals numbers. At the stage of numerical realization. the interval finite difference method has been applied. In the final part of the paper, the results obtained are shown.

Original languageEnglish
Pages (from-to)249-261
Number of pages13
JournalJournal of Theoretical and Applied Mechanics
Volume57
Issue number1
DOIs
Publication statusPublished - 2019

Keywords

  • Arrhenius scheme
  • Bioheat transfer
  • Directed interval arithmetic
  • Optical diffusion equation

ASJC Scopus subject areas

  • General Mathematics
  • Mechanical Engineering

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