Journal of Theoretical
and Applied Mechanics

57, 1, pp. 249-261, Warsaw 2019
DOI: 10.15632/jtam-pl.57.1.249

### Modelling of biological tissue damage process with application of interval arithmetic

Anna Korczak, Marek Jasiński
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.
Keywords: directed interval arithmetic, bioheat transfer, optical diffusion equation, Arrhenius scheme

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