**Journal of Theoretical**

and Applied Mechanics

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

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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