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Mean Diffusivity

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Mean diffusivity is a quantitative measure derived from diffusion-weighted imaging, reflecting the average rate of water molecule diffusion within a tissue. It is used in medical imaging to assess tissue integrity and microstructural changes, particularly in neurological disorders.
lightbulbAbout this topic
Mean diffusivity is a quantitative measure derived from diffusion-weighted imaging, reflecting the average rate of water molecule diffusion within a tissue. It is used in medical imaging to assess tissue integrity and microstructural changes, particularly in neurological disorders.

Key research themes

1. How does fluctuating and spatially heterogeneous diffusivity explain non-Gaussian yet Fickian diffusion behavior?

This theme investigates the mechanistic origins and mathematical modeling of diffusion processes where the mean square displacement (MSD) scales linearly with time (Fickian diffusion), yet the displacement probability distributions are non-Gaussian. A central insight is that spatial or temporal variability in the diffusivity — termed diffusing diffusivity or fluctuating diffusivity — leads to such complex behavior. Models integrating memory effects (generalized Langevin equations with fluctuating diffusivity), Lévy flight statistics, and heterogeneity generate analytical and numerical predictions matching experimental observations of anomalous diffusion in crowded and active media, relevant to cellular transport and complex fluids.

Key finding: Introduces a generalized Langevin equation with fluctuating diffusivity (GLEFD) combining viscoelastic memory effects and stochastic diffusivity to capture anomalous subdiffusion, non-Gaussian displacement distributions, and... Read more
Key finding: Presents exact analytical solutions for diffusing diffusivity models where the diffusivity of a Brownian particle is itself a stochastic process, showing non-Gaussian probability distributions at short times crossing over to... Read more
Key finding: Develops a model integrating Lévy flight statistics into diffusing diffusivity frameworks leading to MSD growing proportional to √T at short times and anomalous superdiffusion at long times due to power-law tailed diffusivity... Read more

2. What are the impacts of heterogeneous and non-local diffusion processes in porous and composite media on the effective mean diffusivity?

This research direction addresses how spatial heterogeneity and microstructural complexity in porous rocks, composite materials, and biological media influence diffusion and dispersion at multiple scales. It incorporates theoretical homogenization, fractional calculus, and non-local constitutive laws to capture deviations from classical Fickian diffusion. Understanding these effects is critical in petroleum engineering, substrate transport in biological tissues, and material science where the effective diffusivity differs substantially from molecular diffusivity due to tortuosity, connectivity, and local flow dynamics.

Key finding: Summarizes the reduction of apparent diffusion coefficients in porous media compared to molecular diffusion due to pore space heterogeneity and flow chamber connectivity. Provides relationships linking effective diffusion D... Read more
Key finding: Applies asymptotic homogenization incorporating fractional integro-differential operators to derive macroscale non-local diffusion equations from microscale non-local constitutive laws in composite media. Demonstrates that... Read more
Key finding: Investigates fundamental diffusion and mixing processes at mesoscopic scales in liquid mixtures relevant to space exploration. Highlights how external fields and microgravity alter thermodiffusion and concentration... Read more

3. How do spatial heterogeneity and surface effects influence ergodicity, self-averaging, and measured mean diffusivities in complex biological and porous media?

This theme focuses on the statistical properties of diffusion in quenched random media and heterogeneous environments where spatially variable diffusivity and trapping lead to weak ergodicity breaking and non-self-averaging behavior. Work in this area sheds light on how diffusion measurements from ensemble averages can differ from single-particle time averages due to disorder sampling constraints, and how surface interactions slow diffusion and affect fluctuations in measured mean square displacements. These insights are critical for interpreting single-molecule tracking in living cells and molecular transport in complex porous materials.

Key finding: Shows that diffusion in quenched disordered media with spatially varying retention leads to ergodic and self-averaging behaviors only when mean transition times are finite; otherwise, diffusion is weakly ergodic breaking but... Read more
Key finding: Analyzes diffusion with slow surface diffusion and faster bulk motion, showing that while mean square displacements grow linearly with time, fluctuations in time-averaged MSDs show a crossover from broad distributions... Read more
Key finding: Through experiments on particles diffusing in bacterial suspensions, reveals a non-monotonic dependence of effective diffusivity on particle size, with certain larger particles diffusing faster than smaller ones due to active... Read more

All papers in Mean Diffusivity

White matter damage and its contribution to clinical manifestations in patients with dementia have been increasingly recognized. To explore white matter changes in different types of dementia, we examined brain water diffusivity with... more
Previous diffusion tensor imaging (DTI) studies indicated microstructural disruption of white matter in alcohol dependence. To investigate the microstructure of primary neurocircuitry involved in alcohol use disorders, the present study... more
Previous diffusion tensor imaging (DTI) studies indicated microstructural disruption of white matter in alcohol dependence. To investigate the microstructure of primary neurocircuitry involved in alcohol use disorders, the present study... more
We introduce an automatic method that we call tract-based morphometry, or TBM, for measurement and analysis of diffusion MRI data along white matter fiber tracts. Using subject-specific tractography bundle segmentations, we generate an... more
A key question in diffusion imaging is how many diffusion-weighted images suffice to provide adequate signal-to-noise ratio (SNR) for studies of fiber integrity. Motion, physiological effects, and scan duration all affect the achievable... more
Abnormalities in fronto-limbic-striatal white matter (WM) have been reported in bipolar disorder (BD), but results have been inconsistent across studies. Furthermore, there have been no detailed investigations as to whether acute mood... more
Memory impairment is one of the most commonly reported effects of cannabis use, especially among those who initiate use earlier, perhaps due to the effects of delta-9- tetrahydrocannabinol on cannabinoid (CB1) receptors in the brain.... more
Introduction: Diffusion tensor imaging (DTI) studies of stroke patients have consistently demonstrated marked reductions of fractional anisotropy (FA) within the lesion (~29-70% FA decreases) or regions remote (upstream or downstream)... more
Background Diffusion tensor imaging (DTI) is a non-invasive MRI technique that has been used to quantify CNS abnormalities in various pathologic conditions. This study was designed to quantify the anisotropic diffusion properties in the... more
We aimed to develop a machine learning model for diagnostic classification in late-life major depression based on an advanced whole brain white matter segmentation framework. Twenty six late-life depression and 12 never depressed... more
Diffusion-weighted imaging (DWI) and diffusion tensor imaging (DTI) are crucial in modern neurological diagnostics, enabling detailed analysis of brain structures and connectivity. This article presents a comprehensive approach to... more
Aging is associated with declining cognitive performance as well as structural changes in brain gray and white matter (WM). The WM deterioration contributes to a disconnection among distributed brain networks and may thus mediate... more
We present a new standard atlas of the human brain based on magnetic resonance images. The atlas was generated using unbiased population registration from high-resolution images obtained by multichannel-coil acquisition at 3T in a group... more
We present a new standard atlas of the human brain based on magnetic resonance images. The atlas was generated using unbiased population registration from high-resolution images obtained by multichannel-coil acquisition at 3T in a group... more
Tensor Imaging (DTI) that acquires axial (transverse) images of the cervical spinal cord. The DTI images depict axonal fiber orientation, enable quantification of diffusion characteristics along the spinal cord, and have the potential to... more
Magnetic resonance diffusion tensor imaging (DTI) has revealed the disruption of brain white matter microstructure in normal aging and alcoholism undetectable with conventional structural MR imaging. The metrics of DTI can be useful in... more
Introduction: Meningitis is one of the most common and serious disorders of central nervous system infection in neonates characterized by inflammation of piaarachnoid membrane with symptoms of lethargy, irritability, vomiting, and... more
Age-dependent changes in the normal cerebral white matter have been reported; however, there is no study on normal cerebellar white matter maturation in developing brain using diffusion tensor imaging (DTI). We performed DTI in 21... more
Hyperammonemia and inflammation are major contributing factors in the development of cerebral edema (CE) in acute liver failure (ALF). Aim of this study was to look for the relationship between proinflammatory cytokines with diffusion... more
This study aimed to demonstrate age-related and gender-related changes in diffusion tensor imaging (DTI) indices of deep grey matter (GM) nuclei of the normal human brain. DTI was performed on 142 subjects (age: 10-52 years). Regions of... more
تصوير برداري پزشكي يك تكنيك غير تهاجمي ميباشد كه باعث توسعه قابل توجه در تشخيص و شناسايي بيماريهاي انسان شده است. در ميان تمامي تكنيكهاي تصوير برداري پزشكي، روش تصويربرداري تشديد مغناطيسي داراي محبوبيت بيشتري است. اين روش، براي سلامت... more
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