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. © 2006 Elsevier Inc. All rights reserved.
Huang, C. H., & Huang, C. Y. (2007). An inverse problem in estimating simultaneously the effective thermal conductivity and volumetric heat capacity of biological tissue. Applied Mathematical Modelling, 31(9), 1785–1797. https://doi.org/10.1016/j.apm.2006.06.002