Diffusion Across Semi-permeable Barriers: Spectral Properties, Efficient Computation, and Applications
Diffusion Across Semi-permeable Barriers: Spectral Properties, Efficient Computation, and Applications
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DOI：
10.1007/s10915-019-01055-5
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发表时间：
2019-12-01
影响因子：
2.5
通讯作者：
Grebenkov, Denis
中科院分区：
文献类型：
--
作者：
Moutal, Nicolas;Grebenkov, Denis
我们提出了一种有效的方法来计算扩散算子的本征值和本征模。（D.）在具有多个半渗透屏障的一维异质结构上。这种方法使我们能够计算的扩散传播和相关的数量，如diffusionMRI信号或第一次退出时间分布解析规则的几何形状和数值为任意的。的障碍和过渡的影响，从无限的渗透性（无障碍）零渗透性（不可渗透的障碍）进行了研究。
We present an efficient method to compute the eigenvalues and eigenmodes of the diffusion operator.( D.) on one-dimensional heterogeneous structures with multiple semi-permeable barriers. This method allows us to calculate the diffusion propagator and related quantities such as diffusionMRI signal or first exit time distribution analytically for regular geometries and numerically for arbitrary ones. The effect of the barriers and the transition from infinite permeability (no barriers) to zero permeability (impermeable barriers) are investigated.