生体内の近赤外光伝播の高速・高信頼シミュレーションのための数値的手法

開催日時: 
2014/04/15 Tue 16:30 - 18:00
場所: 
6号館809号室
講演者: 
藤原宏志
講演者所属: 
京都大学大学院情報学研究科
概要: 

We will present a fast and reliable numerical approach for near-infrared light (NIR) propagation in human bodies. In particular, an accurate numerical quadrature rule on the unit sphere and degenerate kernel approximations are shown to realize numerical computations in the three dimensions.

The use of NIR light is considered as a safe and simple technology for monitoring our bodies, in particular, brain activities. The radiative transport equation (RTE) is widely accepted as a mathematical model of NIR light propagation in our bodies. It is an integro-differential equations and the boundary value problem in the three dimensions is essentially a five dimensional large-scale problem. An accurate numerical quadrature rule and degenerate kernel approximations have been developed to reduce the size of discretization problems and computational times. Error analysis and numerical experiments with biomedical data of a human head are also shown.

This talk is based on a joint work with Prof. Iso (Kyoto Univ.), Prof. Higashimori (Hitotsubashi Univ.), and Human Brain Research Center in Kyoto University.