Effective Potential for Magnetic Resonance Measurements of Restricted Diffusion
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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2017-12-01
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| Series: | Frontiers in Physics |
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| Online Access: | http://journal.frontiersin.org/article/10.3389/fphy.2017.00068/full |
| _version_ | 1811284592233021440 |
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| author | Evren Özarslan Cem Yolcu Magnus Herberthson Carl-Fredrik Westin Carl-Fredrik Westin Hans Knutsson |
| author_facet | Evren Özarslan Cem Yolcu Magnus Herberthson Carl-Fredrik Westin Carl-Fredrik Westin Hans Knutsson |
| author_sort | Evren Özarslan |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T02:31:55Z |
| format | Article |
| id | doaj.art-3e9bf72678434ed0aff07a90df41d29c |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-04-13T02:31:55Z |
| publishDate | 2017-12-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-3e9bf72678434ed0aff07a90df41d29c2022-12-22T03:06:32ZengFrontiers Media S.A.Frontiers in Physics2296-424X2017-12-01510.3389/fphy.2017.00068314071Effective Potential for Magnetic Resonance Measurements of Restricted DiffusionEvren Özarslan0Cem Yolcu1Magnus Herberthson2Carl-Fredrik Westin3Carl-Fredrik Westin4Hans Knutsson5Department of Biomedical Engineering, Linköping University, Linköping, SwedenDepartment of Biomedical Engineering, Linköping University, Linköping, SwedenDivision of Mathematics and Applied Mathematics, Department of Mathematics, Linköping University, Linköping, SwedenDepartment of Biomedical Engineering, Linköping University, Linköping, SwedenLaboratory for Mathematics in Imaging, Department of Radiology, Harvard Medical School, Brigham and Women's Hospital, Boston, MA, United StatesDepartment of Biomedical Engineering, Linköping University, Linköping, SwedenThe 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.http://journal.frontiersin.org/article/10.3389/fphy.2017.00068/fulldiffusionmagnetic resonanceanisotropymicroscopiclocalconfinement |
| spellingShingle | Evren Özarslan Cem Yolcu Magnus Herberthson Carl-Fredrik Westin Carl-Fredrik Westin Hans Knutsson Effective Potential for Magnetic Resonance Measurements of Restricted Diffusion Frontiers in Physics diffusion magnetic resonance anisotropy microscopic local confinement |
| title | Effective Potential for Magnetic Resonance Measurements of Restricted Diffusion |
| title_full | Effective Potential for Magnetic Resonance Measurements of Restricted Diffusion |
| title_fullStr | Effective Potential for Magnetic Resonance Measurements of Restricted Diffusion |
| title_full_unstemmed | Effective Potential for Magnetic Resonance Measurements of Restricted Diffusion |
| title_short | Effective Potential for Magnetic Resonance Measurements of Restricted Diffusion |
| title_sort | effective potential for magnetic resonance measurements of restricted diffusion |
| topic | diffusion magnetic resonance anisotropy microscopic local confinement |
| url | http://journal.frontiersin.org/article/10.3389/fphy.2017.00068/full |
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