Abstract
A numerical analysis of the thermal damage process that proceeds in biological tissue during laser irradiation is presented. Heat transfer in the tissue is assumed to be transient and two-dimensional. The internal heat source resulting from the laser irradiation based on the solution of optical diffusion equation is taken into account. Changes in tissue oxygen distribution resulting from temperature changes are analyzed using the Krogh cylinder model with Michaelis-Menten kinetics. A Hill model was used to describe the oxy-hemoglobin dissociation curve. At the stage of numerical realization, the boundary element method and the finite difference method have been applied.
| Original language | English |
|---|---|
| Pages (from-to) | 51-62 |
| Number of pages | 12 |
| Journal | Journal of Applied Mathematics and Computational Mechanics |
| Volume | 21 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2022 |
Keywords
- Arrhenius scheme
- Krogh cylinder
- bioheat transfer
- boundary element method
- finite difference method
- optical diffusion equation
- oxygen transport
ASJC Scopus subject areas
- Applied Mathematics
- Numerical Analysis
- Computational Mathematics
- Analysis
- Mechanical Engineering
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