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Open AccessJournal ArticleDOI

Mean apparent propagator (MAP) MRI: a novel diffusion imaging method for mapping tissue microstructure

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TLDR
MAP-MRI represents a new comprehensive framework to model the three-dimensional q-space MR signal and transform it into diffusion propagators, and provides several novel, quantifiable parameters that capture previously obscured intrinsic features of nervous tissue microstructure.
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This article is published in NeuroImage.The article was published on 2013-09-01 and is currently open access. It has received 316 citations till now. The article focuses on the topics: Diffusion Anisotropy & Diffusion MRI.

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Journal ArticleDOI

Multi-shell diffusion signal recovery from sparse measurements

TL;DR: This work proposes a new method for the reconstruction of diffusion signals in the entire q-space from highly undersampled sets of MSDI data, thus reducing the scan time significantly and enforcing the reconstructed signal to have smooth spatial regularity in the brain, by minimizing the total variation (TV) norm.
Journal ArticleDOI

Microstructure Imaging of Crossing (MIX) White Matter Fibers from diffusion MRI

TL;DR: A new and versatile optimization technique (MIX) is introduced, which enables microstructure imaging of crossing white matter fibers in fiber crossings using synthetic as well as ex- vivo and in-vivo brain data.
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DR-TAMAS: Diffeomorphic Registration for Tensor Accurate Alignment of Anatomical Structures.

TL;DR: The proposed DR-TAMAS (Diffeomorphic Registration for Tensor Accurate alignMent of Anatomical Structures), a novel framework for intersubject registration of Diffusion Tensor Imaging (DTI) data sets, has excellent overall performance and is equivalent to the best existing methods in WM.
Journal ArticleDOI

Denoising and fast diffusion imaging with physically constrained sparse dictionary learning.

TL;DR: This work aims to denoise DWI and reduce the number of required measurements, while maintaining data quality, using sparse dictionary learning constrained by the physical properties of the signal: symmetry and positivity.
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Microstructural organization of human insula is linked to its macrofunctional circuitry and predicts cognitive control.

TL;DR: Quantitative modeling of multi-shell diffusion MRI data from 413 participants revealed that human insula microstructure differs significantly across subdivisions that serve distinct cognitive and affective functions, and insular microstructural features were linked to behavior and predicted individual differences in cognitive control ability.
References
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Book

Table of Integrals, Series, and Products

TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Book

Compressed sensing

TL;DR: It is possible to design n=O(Nlog(m)) nonadaptive measurements allowing reconstruction with accuracy comparable to that attainable with direct knowledge of the N most important coefficients, and a good approximation to those N important coefficients is extracted from the n measurements by solving a linear program-Basis Pursuit in signal processing.

A table of integrals

TL;DR: Basic Forms x n dx = 1 n + 1 x n+1 (1) 1 x dx = ln |x| (2) udv = uv − vdu (3) 1 ax + bdx = 1 a ln|ax + b| (4) Integrals of Rational Functions
Journal ArticleDOI

Spin diffusion measurements : spin echoes in the presence of a time-dependent field gradient

TL;DR: In this article, a derivation of the effect of a time-dependent magnetic field gradient on the spin-echo experiment, particularly in the presence of spin diffusion, is given.
Book

Solving least squares problems

TL;DR: Since the lm function provides a lot of features it is rather complicated so it is going to instead use the function lsfit as a model, which computes only the coefficient estimates and the residuals.
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