An inverse problem in estimating simultaneously the effective thermal conductivity and volumetric heat capacity of biological tissue

Cheng Hung Huang, Chu Ya Huang

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1785-1797
Number of pages13
JournalApplied Mathematical Modelling
Volume31
Issue number9
DOIs
Publication statusPublished - 2007 Sep

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

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