Modeling of Tissue Laser Irradiation in Cylindrical Coordinates Using the Finite Pointset Method

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Authors

  • Anna Korczak Silesian University of Technology, Faculty of Mechanical Engineering, Department of Computational Mechanics and Engineering, Gliwice, Poland ORCID ID 0000-0002-7855-2134
  • Felix R. Saucedo-Zendejo Universidad Autónoma de Coahuila, Centro de Investigacion en Matematicas Aplicadas, Saltillo, Mexico ORCID ID 0000-0001-8434-6129

Abstract

This study focuses on a numerical analysis of heat transfer in biological tissue. The proposed model is formulated using the Pennes equation under transient conditions within a two-dimensional (2D) cylindrical domain. The tissue undergoes laser irradiation, with internal heat sources determined based on the Beer–Lambert law. Moreover, key parameters, including the perfusion rate and effective scattering coefficient, are modeled as functions dependent on tissue damage. Numerical computations are performed using the finite pointset method (FPM). The findings, discussed in the final section, indicate that the FPM approach is a viable and effective tool for analyzing thermal processes in biological tissues.

Keywords:

meshless methods, bioheat transfer, cylindrical system, FPM

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