Effective Potential for Magnetic Resonance Measurements of Restricted Diffusion

Frontiers in Physics

Ö¹  Yolcu, Cem¹  Westin, Carl-Fredrik²  Herberthson, Magnus⁴  Knutsson, Hans⁴  zarslan, Evren⁴ 

[1] Department of Biomedical Engineering, LinköDivision of Mathematics and Applied Mathematics, Department of Mathematics, LinköLaboratory for Mathematics in Imaging, Department of Radiology, Harvard Medical School, Brigham and Women'ping University, Sweden;s Hospital, United States

关键词: Diffusion;    Magnetic resonance;    Anisotropy;    microscopic;    local;    Confinement;    Tensor;    Parabolic;    quadratic;    potential;    Hookean;   

DOI  :  10.3389/fphy.2017.00068

学科分类：物理（综合）

来源: Frontiers

【 摘 要 】

The signature of diffusive motion on the NMR signal has been exploited to characterize the mesoscopic structure of specimens in numerous applications. For compartmentalized specimens comprising isolated subdomains, a representation of individual pores is necessary for describing restricted diffusion within them. When gradient waveforms with long pulse durations are employed, a quadratic potential profile is identified as an effective energy landscape for restricted diffusion. The dependence of the stochastic effective force on the center-of-mass position is indeed found to be approximately linear (Hookean) for restricted diffusion even when the walls are sticky. We outline the theoretical basis and practical advantages of our picture involving effective potentials.

【 授权许可】

CC BY