生体内水分子の磁化拡散シミュレーションにおける離散化誤差を最小とする条件(生体磁気・医療応用)

概要

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Simulations of finite-difference diffusion are used for solving the diffusion equation of nuclear magnetization in discrete space and time. The purpose of this study was to obtain the time step, Δt, and the spatial step, Δx, which minimize discrete errors in simulation. We evaluated the difference between a discrete solution and an exact solution that had been derived from the magnetization diffusion equation. The results revealed the existence of Δx, which minimizes discrete error. Spatial step Δx and discrete errors increased as time step Δt increased. The results should be useful for efficiently carrying out diffusion simulations within given time limitations for computation.
社団法人日本磁気学会の論文
2007-05-01