Journal
APPLIED MATHEMATICAL MODELLING
Volume 31, Issue 9, Pages 1785-1797Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2006.06.002
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An inverse problem utilizing the Levenberg-Marquardt method (LMM) is applied in this study to determine simultaneously the unknown spatial-dependent effective thermal conductivity and volumetric heat capacity for a biological tissue based on temperature measurements. The accuracy of this inverse problem is examined by using the simulated exact and inexact temperature measurements in the numerical experiments. A statistical analysis is performed to obtain the 99% confidence bounds for the estimated thermal properties. Results show that good estimation on the spatial-dependent thermal conductivity and volumetric heat capacity can be obtained using the present algorithm for the test cases considered in this study. (C) 2006 Elsevier Inc. All rights reserved.
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