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NUMERICAL MODELING OF TISSUE LASER IRRADIATION WITH UNCERTAIN PARAMETERS USING THE INTERVAL FINITE POINTSET METHOD

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2 Citations (Scopus)

Abstract

In the following paper, the numerical analysis of thermal processes occurring in biological tissue with uncertain parameters is presented. The heat transfer model is based on the Pennes equation, where interval heat sources are introduced. The model is assumed to be transient and one-dimensional. Additionally, analysed tissue is exposed to laser irradi-ation, and the internal heat sources resulting from laser irradiation based on the Beer law are taken into account. Moreover, the perfusion rate and the effective scattering coefficient are treated as variables dependent on tissue damage. For numerical calculations, the interval version of the Finite Pointset Method has been used. All calculations are performed due to the direct interval arithmetic rules. The paper is concluded by presenting the obtained results.

Original languageEnglish
Pages (from-to)41-53
Number of pages13
JournalJournal of Applied Mathematics and Computational Mechanics
Volume23
Issue number2
DOIs
Publication statusPublished - 2024

Keywords

  • Finite Pointset Method
  • bioheat transfer
  • interval arithmetic
  • meshless methods

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Mechanical Engineering
  • Computational Mathematics
  • Applied Mathematics

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