An inverse problem in estimating simultaneously the effective thermal conductivity and volumetric heat capacity of biological tissue |
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Authors: | Cheng-Hung Huang Chu-Ya Huang |
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Affiliation: | Department of Systems and Naval Mechatronic Engineering, National Cheng Kung University, 1 Ta-Hsueh Road, Tainan 701, Taiwan, ROC |
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Abstract: | 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. |
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