# DETERMINATION OF BURN DEPTH ON THE BASIS OF SKIN SURFACE TEMPERATURE – SOLUTION OF INVERSE PROBLEM USING THE GRADIENT METHOD

### Majchrzak, E.;

The burned and healthy layers of skin tissue are considered. The temperature distribution in the domains is described by the system of two Pennes equations with the different thermophysical parameters. In the healthy layer the metabolic and perfusion heat sources are taken into account, while the burned layer is dead and the blood perfusion and metabolic do not occur in this region. At the surface between burned and healthy layers the ideal contact is assumed (continuity of heat flux and temperature field), at the internal surface limiting the system the body temperature is known. Heat transfer between skin surface and environment is described by the well known Robin boundary condition (ambient temperature and heat transfer coefficient are given). It is assumed that the shape of surface between burned and healthy tissue is unknown. Additional information necessary to solve the inverse problem formulated results from a knowledge of skin surface temperature distribution. At the stage of direct problem solution the multiple reciprocity boundary element method is used. This variant allows one to avoid the discretization of domain interior (inside of the healthy tissue sub-domain the volumetric internal heat sources must be taken into account). To solve the inverse problem above formulated the gradient method is used and the shape sensitivity analysis is applied to determine the coefficients appearing in the least square criterion. Here the implicit variant of shape sensitivity analysis is used. In the final part of the paper the results of computations are shown.

Palavras-chave: numerical modeling, burn depth, inverse problem, gradient method.,

Palavras-chave:

DOI: 10.5151/meceng-wccm2012-18713

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##### Como citar:

Majchrzak, E.; "DETERMINATION OF BURN DEPTH ON THE BASIS OF SKIN SURFACE TEMPERATURE – SOLUTION OF INVERSE PROBLEM USING THE GRADIENT METHOD", p. 2084-2095 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-18713

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