2004
DOI: 10.1002/mrm.20274
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New modeling and experimental framework to characterize hindered and restricted water diffusion in brain white matter

Abstract: To characterize anisotropic water diffusion in brain white matter, a theoretical framework is proposed that combines hindered and restricted models of water diffusion (CHARMED) and an experimental methodology that embodies features of diffusion tensor and q-space MRI. This model contains a hindered extra-axonal compartment, whose diffusion properties are characterized by an effective diffusion tensor, and an intraaxonal compartment, whose diffusion properties are character-

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Cited by 470 publications
(482 citation statements)
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“…To our knowledge, this was the first demonstration of simultaneous DTI, DSI, QBI and bi-exponential diffusion analysis from a single diffusion-weighted dataset. Possibly, the most similar experimental design is the CHARMED method (Assaf et al 2004, which has a similar q-space sampling scheme of concentric q-space shells. From the CHARMED analysis, one may estimate a single hindered (fast) diffusion tensor component and multiple restricted (slow) diffusion components.…”
Section: Discussionmentioning
confidence: 99%
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“…To our knowledge, this was the first demonstration of simultaneous DTI, DSI, QBI and bi-exponential diffusion analysis from a single diffusion-weighted dataset. Possibly, the most similar experimental design is the CHARMED method (Assaf et al 2004, which has a similar q-space sampling scheme of concentric q-space shells. From the CHARMED analysis, one may estimate a single hindered (fast) diffusion tensor component and multiple restricted (slow) diffusion components.…”
Section: Discussionmentioning
confidence: 99%
“…While Cartesian sampling facilitates the straightforward FFT for estimation of the displacement densities of water molecules, it is not required. Recently, investigators have proposed non-Cartesian sampling strategies of q-space (Assaf et al, 2004;Assaf and Basser, 2005;Wu and Alexander, 2005;Khachaturian et al, 2007). Assaf et al applied a model (CHARMED) of slow and fast diffusion compartments to estimate what they deemed as hindered and restricted diffusion (Assaf et al, 2004;Assaf and Basser, 2005).…”
Section: Introductionmentioning
confidence: 99%
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“…However, such metrics do not give a direct measurement of ECS and ICS volume fraction. ECS and ICS volume fraction estimates can be computed by fitting the echo attenuation curves to mathematical models (Assaf et al, 2006;Assaf et al, 2004). In another approach, Malmborg et al recently proposed a model-free method of ECS and ICS volume fraction estimation based on varying the duration of the diffusion gradients (Malmborg et al, 2006).…”
Section: Discussion Estimating Mean Axon Diameter With Qsimentioning
confidence: 99%
“…One of these limitations is due to the assumption that diffusion in biological tissues is Gaussian, namely that exists a linear relation between the mean square displacement (MSD) of diffusing molecules and time (t) during which diffusion occurs. Indeed, dynamics of water in living systems can be hindered and/or restricted by confining boundaries in multiple compartments leading to a deviation from the linear relation between MSD of diffusing particles and t [5,6]. Moreover, some biological tissues, such as the cerebral ones, can be described in terms of a multi-scale and multi-level complex system, in which a complex hierarchical topology resembling fractal folding can be found [7,8].…”
Section: Introductionmentioning
confidence: 99%