Fokker-Planck formalism in magnetic resonance simulations
Fokker-Planck formalism in magnetic resonance simulations
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DOI：
10.1016/j.jmr.2016.07.005
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发表时间：
2016-09-01
影响因子：
2.2
通讯作者：
Kuprov, Ilya
中科院分区：
文献类型：
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作者：
Kuprov, Ilya
本文综述了非生物磁共振模拟的Fokker-Planck形式，描述了它的现有应用，并提出了一些新的应用。与常用的Liouville - von Neumann方程相比，Fokker-Planck理论最吸引人的特点是，对于所有相关类型的空间动力学（自旋、扩散、静止流动等），相应的Fokker-Planck哈密顿量是时间无关的。许多核磁共振、EPR和MRI模拟难题（多旋转核磁共振、超快核磁共振、基于梯度的零量子滤波器、扩散和流动核磁共振、EPR中的非共振软微波脉冲、MRI中的自旋-自旋耦合效应等）在Fokker-Planck空间中得到了显著简化。本文还总结了作者在编写和使用菠菜库相应模块方面的经验-下面描述的方法使以前被认为过于复杂而无法常规实际使用的各种模拟成为可能。(C) 2016作者。Elsevier Inc.出版。
This paper presents an overview of the Fokker-Planck formalism for non-biological magnetic resonance simulations, describes its existing applications and proposes some novel ones. The most attractive feature of Fokker-Planck theory compared to the commonly used Liouville - von Neumann equation is that, for all relevant types of spatial dynamics (spinning, diffusion, stationary flow, etc.), the corresponding Fokker-Planck Hamiltonian is time-independent. Many difficult NMR, EPR and MRI simulation problems (multiple rotation NMR, ultrafast NMR, gradient-based zero-quantum filters, diffusion and flow NMR, off-resonance soft microwave pulses in EPR, spin-spin coupling effects in MRI, etc.) are simplified significantly in Fokker-Planck space. The paper also summarises the author's experiences with writing and using the corresponding modules of the Spinach library - the methods described below have enabled a large variety of simulations previously considered too complicated for routine practical use. (C) 2016 The Author(s). Published by Elsevier Inc.