Sensitivity analysis and inverse problems in bio-heat transfer modelling
Abstract
In the paper the problems connected with numerical modelling of bio-heat transfer processes are discussed. The mathematical model of phenomena discussed bases on the Pennes equation, at the same time the steady and transient tasks are considered. The basic equation is supplemented by the adequate geometrical, physical, boundary and (in the case of transient heat transfer) initial conditions. In the first part of' the paper the examples of direct solutions are discussed. Next the possibilities of sensitivity analysis applications in the domain of bio-heat transfer are presented. In the final part the selected solutions of inverse problems are shown. On the stage of numerical simulations both in the case of direct and inverse problems, as a rule, the different variants of the boundary element method have been used.
References
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[5] C.A. Brebbia, J. Dominguez. Boundary Elements. An Introductory Course. Computational Mechanics Publications, McGraw-Hill Co., London, 1992.
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