Open Access

ARTICLE

Numerical Modeling of Skin Tissue Heating Using the Interval Finite Difference Method

B. Mochnacki^*, Alicja Piasecka Belkhayat^†

* Higher School of Labour Safety Management at Katowice, Poland. Email: bohdan.mochnacki@im.pcz.pl
† Silesian University of Technology, Gliwice, Poland. Email: alicja.piasecka@polsl.pl

Molecular & Cellular Biomechanics 2013, 10(3), 233-244. https://doi.org/10.3970/mcb.2013.010.233

Abstract

Numerical analysis of heat transfer processes proceeding in a nonhomogeneous biological tissue domain is presented. In particular, the skin tissue domain subjected to an external heat source is considered. The problem is treated as an axially-symmetrical one (it results from the mathematical form of the function describing the external heat source). Thermophysical parameters of sub-domains (volumetric specific heat, thermal conductivity, perfusion coefficient etc.) are given as interval numbers. The problem discussed is solved using the interval finite difference method basing on the rules of directed interval arithmetic, this means that at the stage of FDM algorithm construction the mathematical manipulations are realized using the interval numbers. In the final part of the paper the results of numerical computations are shown, in particular the problem of admissible thermal dose is analyzed.

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