[HTML][HTML] Probing brain tissue microstructure with MRI: principles, challenges, and the role of multidimensional diffusion-relaxation encoding

B Lampinen, F Szczepankiewicz, J Lätt, L Knutsson… - NeuroImage, 2023 - Elsevier
Diffusion MRI uses the random displacement of water molecules to sensitize the signal to
brain microstructure and to properties such as the density and shape of cells. Microstructure …

[图书][B] Tensor analysis: spectral theory and special tensors

L Qi, Z Luo - 2017 - SIAM
Matrix theory is one of the most fundamental tools of mathematics and science, and a
number of classical books on matrix analysis have been written to explore this theory. As a …

Q-space trajectory imaging for multidimensional diffusion MRI of the human brain

CF Westin, H Knutsson, O Pasternak… - Neuroimage, 2016 - Elsevier
This work describes a new diffusion MR framework for imaging and modeling of
microstructure that we call q-space trajectory imaging (QTI). The QTI framework consists of …

Eigenproblem Basics and Algorithms

L Jäntschi - Symmetry, 2023 - mdpi.com
Some might say that the eigenproblem is one of the examples people discovered by looking
at the sky and wondering. Even though it was formulated to explain the movement of the …

EvolQG-An R package for evolutionary quantitative genetics

D Melo, G Garcia, A Hubbe, AP Assis… - …, 2016 - pmc.ncbi.nlm.nih.gov
We present an open source package for performing evolutionary quantitative genetics
analyses in the R environment for statistical computing. Evolutionary theory shows that …

Experimentally and computationally fast method for estimation of a mean kurtosis

B Hansen, TE Lund, R Sangill… - Magnetic resonance in …, 2013 - Wiley Online Library
Purpose Results from several recent studies suggest the magnetic resonance diffusion‐
derived metric mean kurtosis (MK) to be a sensitive marker for tissue pathology; however …

Geometry-aware manipulability learning, tracking, and transfer

N Jaquier, L Rozo, DG Caldwell… - … International Journal of …, 2021 - journals.sagepub.com
Body posture influences human and robot performance in manipulation tasks, as
appropriate poses facilitate motion or the exertion of force along different axes. In robotics …

Measurement tensors in diffusion MRI: generalizing the concept of diffusion encoding

CF Westin, F Szczepankiewicz, O Pasternak… - … Image Computing and …, 2014 - Springer
In traditional diffusion MRI, short pulsed field gradients (PFG) are used for the diffusion
encoding. The standard Stejskal-Tanner sequence uses one single pair of such gradients …

Estimating crossing fibers: A tensor decomposition approach

T Schultz, HP Seidel - IEEE Transactions on Visualization and …, 2008 - ieeexplore.ieee.org
Diffusion weighted magnetic resonance imaging is a unique tool for non-invasive
investigation of major nerve fiber tracts. Since the popular diffusion tensor (DT-MRI) model is …

Regularized positive-definite fourth order tensor field estimation from DW-MRI

A Barmpoutis, MS Hwang, D Howland, JR Forder… - NeuroImage, 2009 - Elsevier
In Diffusion Weighted Magnetic Resonance Image (DW-MRI) processing, a 2nd order tensor
has been commonly used to approximate the diffusivity function at each lattice point of the …