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Reiter, David A., Adelnia, Fatemeh, Cameron, Donnie 
ORCID: https://orcid.org/0000-0001-9841-6909, Spencer, Richard G. and Ferrucci, Luigi
(2021)
Parsimonious modeling of skeletal muscle perfusion: Connecting the stretched exponential and fractional Fickian diffusion.
Magnetic Resonance in Medicine, 86 (2).
pp. 1045-1057.
ISSN 0740-3194
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Abstract
PURPOSE: To develop an anomalous (non-Gaussian) diffusion model for characterizing skeletal muscle perfusion using multi-b-value DWI. THEORY AND METHODS: Fick's first law was extended for describing tissue perfusion as anomalous superdiffusion, which is non-Gaussian diffusion exhibiting greater particle spread than that of the Gaussian case. This was accomplished using a space-fractional derivative that gives rise to a power-law relationship between mean squared displacement and time, and produces a stretched exponential signal decay as a function of b-value. Numerical simulations were used to estimate parameter errors under in vivo conditions, and examine the effect of limited SNR and residual fat signal. Stretched exponential DWI parameters, α and D , were measured in thigh muscles of 4 healthy volunteers at rest and following in-magnet exercise. These parameters were related to a stable distribution of jump-length probabilities and used to estimate microvascular volume fractions. RESULTS: Numerical simulations showed low dispersion in parameter estimates within 1.5% and 1%, and bias errors within 3% and 10%, for α and D , respectively. Superdiffusion was observed in resting muscle, and to a greater degree following exercise. Resting microvascular volume fraction was between 0.0067 and 0.0139 and increased between 2.2-fold and 4.7-fold following exercise. CONCLUSIONS: This model captures superdiffusive molecular motions consistent with perfusion, using a parsimonious representation of the DWI signal, providing approximations of microvascular volume fraction comparable with histological estimates. This signal model demonstrates low parameter-estimation errors, and therefore holds potential for a wide range of applications in skeletal muscle and elsewhere in the body.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | anomalous diffusion,fractional calculus,hyperemia,intravoxel incoherent motion,microvascular volume,superdiffusion,radiology nuclear medicine and imaging ,/dk/atira/pure/subjectarea/asjc/2700/2741 |
| Faculty \ School: | Faculty of Medicine and Health Sciences > Norwich Medical School |
| UEA Research Groups: | Faculty of Medicine and Health Sciences > Research Groups > Cardiovascular and Metabolic Health Faculty of Medicine and Health Sciences > Research Centres > Population Health |
| Related URLs: | |
| Depositing User: | LivePure Connector |
| Date Deposited: | 14 Apr 2021 23:53 |
| Last Modified: | 19 Dec 2024 01:03 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/79760 |
| DOI: | 10.1002/mrm.28766 |
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