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Diffusion in living tissues governs essential physiological processes and is well studied within cells. Yet how extracellular molecular motion emerges from the structural complexity of tissues remains unresolved. In the brain, molecules…

Diffusion magnetic resonance imaging is sensitive to the microstructural properties of brain tissue. However, estimating clinically and scientifically relevant microstructural properties from the measured signals remains a highly…

Image and Video Processing · Electrical Eng. & Systems 2024-02-27 Leevi Kerkelä , Kiran Seunarine , Filip Szczepankiewicz , Chris A. Clark

Many developmental processes, such as plasticity and aging, or pathological processes such as neurological diseases are characterized by modulations of specific cellular types and their microstructures. Diffusion-weighted Magnetic Resonance…

Medical Physics · Physics 2019-03-26 Marco Palombo , Noam Shemesh , Itamar Ronen , Julien Valette

Brain-related experiments are limited by nature, and so biological insights are often restricted or absent. This is particularly problematic in the context of brain cancers, which have very poor survival rates. To generate and test new…

Dynamical Systems · Mathematics 2021-08-10 Szabolcs Suveges , Kismet Hossain-Ibrahim , J. Douglas Steele , Raluca Eftimie , Dumitru Trucu

Diffusion-weighted magnetic resonance imaging in brain white matter probes tissue microstructure and allows for the estimation of compartmental diffusion parameters. Recently, it became apparent that traditional single-direction diffusion…

Biological Physics · Physics 2018-09-20 Marco Reisert , Valerij G. Kiselev , Bibek Dhital

Magnetic resonance imaging (MRI) is the method of choice for noninvasive studies of micrometer-scale structures in biological tissues via their effects on the time/frequency-dependent ("restricted") and anisotropic self-diffusion of water.…

Soft Condensed Matter · Physics 2021-11-16 Omar Narvaez , Maxime Yon , Hong Jiang , Diana Bernin , Eva Forssell-Aronsson , Alejandra Sierra , Daniel Topgaard

Diffusion magnetic resonance imaging (dMRI) provides a unique tool for noninvasively probing the microstructure of the neuronal tissue. The NODDI model has been a popular approach to the estimation of tissue microstructure in many…

Computer Vision and Pattern Recognition · Computer Science 2017-04-06 Chuyang Ye

Biophysical modeling is the mediator of evaluating the cellular structure of biological tissues using diffusion-weighted MRI. It is however the bottleneck of microstructural MRI. Beyond the complexity of diffusion, the current development…

Biological Physics · Physics 2017-12-14 Bibek Dhital , Marco Reisert , Elias Kellner , Valerij G. Kiselev

Diffusion magnetic resonance imaging is an imaging technology designed to probe anatomical architectures of biological samples in an in vivo and non-invasive manner through measuring water diffusion. The contribution of this paper is…

The structure of grey matter has long been a key focus in neuroscience, as cell morphology varies by type and can be affected by neurological conditions. Understanding these variations is essential for studying brain function and disease.…

Biological Physics · Physics 2025-08-27 Charlie Aird-Rossiter , Hui Zhang , Daniel C. Alexander , Derek K. Jones , Marco Palombo

Diffusion Magnetic Resonance Imaging (MRI) exploits the anisotropic diffusion of water molecules in the brain to enable the estimation of the brain's anatomical fiber tracts at a relatively high resolution. In particular, tractographic…

Computational Engineering, Finance, and Science · Computer Science 2016-09-14 Yu Jin , Joseph F. JaJa , Rong Chen , Edward H. Herskovits

Restrictions to molecular motion by barriers (membranes) are ubiquitous in biological tissues, porous media and composite materials. A major challenge is to characterize the microstructure of a material or an organism nondestructively using…

Soft Condensed Matter · Physics 2011-03-11 Dmitry S. Novikov , Els Fieremans , Jens H. Jensen , Joseph A. Helpern

Far from equilibrium, neural systems self-organize across multiple scales. Exploiting multiscale self-organization in neuroscience and artificial intelligence requires a computational framework for modeling the effective non-equilibrium…

Neurons and Cognition · Quantitative Biology 2025-10-09 Nathan X. Kodama

Diffusion Tensor Imaging (DTI) provides the possibility of estimating the location and course of eloquent structures in the human brain. Knowledge about this is of high importance for preoperative planning of neurosurgical interventions and…

Computer Vision and Pattern Recognition · Computer Science 2011-03-11 Miriam H. A. Bauer , Jan Egger , Daniela Kuhnt , Sebastiano Barbieri , Jan Klein , Horst K. Hahn , Bernd Freisleben , Christopher Nimsky

Fiber tracking based on diffusion weighted Magnetic Resonance Imaging (dMRI) allows for noninvasive reconstruction of fiber bundles in the human brain. In this chapter, we discuss sources of error and uncertainty in this technique, and…

Computer Vision and Pattern Recognition · Computer Science 2013-07-15 Thomas Schultz , Anna Vilanova , Ralph Brecheisen , Gordon Kindlmann

In studying structural inter-connections in the human brain, it is common to first estimate fiber bundles connecting different regions of the brain relying on diffusion MRI. These fiber bundles act as highways for neural activity and…

Applications · Statistics 2016-12-06 Zhengwu Zhang , Maxime Descoteaux , David B. Dunson

Over the past few decades, magnetic resonance imaging has been utilized as a powerful imaging modality to evaluate the structure and function of various organs in the human body,such as the brain. Additionally, diffusion and perfusion MR…

Medical Physics · Physics 2016-12-12 Sanam Assili

Large-scale white matter pathways crisscrossing the cortex create a complex pattern of connectivity that underlies human cognitive function. Generative mechanisms for this architecture have been difficult to identify in part because little…

Neurons and Cognition · Quantitative Biology 2015-06-16 Florian Klimm , Danielle S. Bassett , Jean M. Carlson , Peter J. Mucha

Monitoring diseases that affect the brain's structural integrity requires automated analysis of magnetic resonance (MR) images, e.g., for the evaluation of volumetric changes. However, many of the evaluation tools are optimized for…

Diffusion magnetic resonance imaging (dMRI) is a relatively modern technique used to study tissue microstructure in a non-invasive way. Non-Gaussian diffusion representation is related to the restricted diffusion and can provide information…

Signal Processing · Electrical Eng. & Systems 2020-09-17 Tomasz Pieciak , Maryam Afzali , Fabian Bogusz , Aja-Fernández , Derek K. Jones