One-step GPS for the Estimation of the Physical Properties of Bio-tissue

• Main Authors: Chun-Hsien Chen, 陳俊憲
• Other Authors: Chein-Shan Liu
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/22746252511204953778

碩士 === 國立臺灣海洋大學 === 機械與機電工程學系 === 95 === In this paper we are applying the LGEM to estimate the unknown parameters from bio-heat transfer equation and optical propagation equation. It is composed of two parts. First, we discuss PDE of bio-heat transfer equation. The semi-discrete procedure of PDE yields n coupled system of ODEs, and then transform them into the Minkowskian type ODEs. By adding initial and final temperature, we solve adaptive factor by one-step GPS, Substituting the solved adaptive factor into the non-linear equations, we can obtain thermal conductivity and thermal capacity. In the second part, we use a good idea to solve the estimation problem. We will multiply into the ODE of optical propagation equation, such that we have a PDE. The semi-discrete procedure of PDE yields n coupled system of ODEs, and then transform them into the Minkowskian type ODEs. By adding initial and final temperature, we can solve the obtain adaptive factor by one-step GPS, inserting which into the non-linear equation, we can obtain optical diffusion and optical absorption coefficients of tissue.