Results 1  10
of
85
MR Diffusion Tensor Spectroscopy and Imaging
, 1994
"... This paper describes a new NMR imaging modalityMR diffusion tensor imaging. It consists of estimating an effective diffusion tensor, Deff, within a voxel, and then displaying useful quantities derived from it. We show how the phenomenon of anisotropic diffusion of water (or metabolites) in anisotro ..."
Abstract

Cited by 384 (11 self)
 Add to MetaCart
with the eigenvectors of D"f}, while the effective diffusivities along these orthotropic directions are the eigenvalues of De"f. Diffusion ellipsoids, constructed in each voxel from Deff, depict both these orthotropic axes and the mean diffusion distances in these directions. Moreover, the three scalar
Visualizing Diffusion Tensor Imaging Data with Merging Ellipsoids
"... Diffusion tensor fields reveal the underlying anatomical structures in biological tissues such as neural fibers in the brain. Most current methods for visualizing the diffusion tensor field can be categorized into two classes: integral curves and glyphs. Integral curves are continuous and represent ..."
Abstract

Cited by 4 (0 self)
 Add to MetaCart
Diffusion tensor fields reveal the underlying anatomical structures in biological tissues such as neural fibers in the brain. Most current methods for visualizing the diffusion tensor field can be categorized into two classes: integral curves and glyphs. Integral curves are continuous and represent
DoublePFG DiffusionDiffraction in Ellipsoidal Pores
"... Repeated application of diffusion gradient pulse pairs [1] in a pulsed field gradient (PFG) experiment provides important insights into pore microstructure. For example, the dimensions and eccentricity of yeast cells were measured from the fourth order term of the doublePFG signal attenuation when ..."
Abstract
 Add to MetaCart
Repeated application of diffusion gradient pulse pairs [1] in a pulsed field gradient (PFG) experiment provides important insights into pore microstructure. For example, the dimensions and eccentricity of yeast cells were measured from the fourth order term of the doublePFG signal attenuation when
Transport Properties of the Hard Ellipsoid Fluid
, 1993
"... Transport properties of isotropic fluids composed of hard ellipsoids of revolution are studied using molecular dynamics simulation. The self diffusion coefficient, the shear viscosity and the thermal conductivity are evaluated for a range of densities and elongations and are compared with the result ..."
Abstract
 Add to MetaCart
Transport properties of isotropic fluids composed of hard ellipsoids of revolution are studied using molecular dynamics simulation. The self diffusion coefficient, the shear viscosity and the thermal conductivity are evaluated for a range of densities and elongations and are compared
Statistical artifacts in diffusion tensor MRI (DTMRI) caused by background noise
, 2000
"... This work helps elucidate how background noise introduces statistical artifacts in the distribution of the sorted eigenvalues and eigenvectors in diffusion tensor MRI (DTMRI) data. Although it was known that sorting eigenvalues (principal diffusivities) by magnitude introduces a bias in their sampl ..."
Abstract

Cited by 69 (4 self)
 Add to MetaCart
and variance of the eigenvectors of the diffusion tensor, based on a dyadic tensor representation of eigenvalue–eigenvector pairs. Moreover, a new approach is proposed to order these pairs within an ROI. To do this, a correspondence between each principal axis of the diffusion ellipsoid, an eigenvalue
D.H.: Visualizing diffusion tensor MR images using streamtubes and streamsurfaces
 IEEE TVCG 9
, 2003
"... In biological tissue, water is ubiquitous and constantly in motion. This motion of water inside biological tissue is called diffusion. Water usually diffuses at different rates both in different locations and along different directions at one location. The difference of diffusion rates at one locati ..."
Abstract

Cited by 95 (30 self)
 Add to MetaCart
location is called anisotropy. The following pictures show three types of diffusion illustrated by the ellipsoids. The ellipsoid would be
The Probability Of Small Gaussian Ellipsoids And Associated Conditional Moments
, 1991
"... The problem of computing the lower tail of a Gaussian norm is considered in this paper. Based on large deviations arguments, a bound on these tails is derived which is tighter than those obtained by other methods. Conditional exponential moment bounds are also derived and as an application, L² type ..."
Visualizing Diffusion Tensor Images of the Mouse Spinal Cord
, 1998
"... ... stochastic Brownian motion. The rate of this diffusion can give clues to the structure of underlying tissues. In some tissues the rate is anisotropic  faster in some directions than others. Diffusionrate images are secondorder tensor fields and can be calculated from diffusionweighted magnet ..."
Abstract

Cited by 80 (7 self)
 Add to MetaCart
... stochastic Brownian motion. The rate of this diffusion can give clues to the structure of underlying tissues. In some tissues the rate is anisotropic  faster in some directions than others. Diffusionrate images are secondorder tensor fields and can be calculated from diffusion
Finitetime Attractive Ellipsoid Method Using Implicit Lyapunov Functions
, 2015
"... HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte p ..."
Abstract
 Add to MetaCart
pluridisciplinaire HAL, est destinée au dépôt et a ̀ la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.
Modeling Biological Macromolecules in Solution. 11. The General Triaxial Ellipsoid
"... The use of the general (triaxial) ellipsoid as a model for the conformation of biological macromolecules in solution is discussed. The recent derivation of an expression for the viscosity increment of dispersions of triaxial ellipsoids [S. E. Harding et al. (1979) IRCS Med. Sci. 7,33; and (1981) ..."
Abstract
 Add to MetaCart
The use of the general (triaxial) ellipsoid as a model for the conformation of biological macromolecules in solution is discussed. The recent derivation of an expression for the viscosity increment of dispersions of triaxial ellipsoids [S. E. Harding et al. (1979) IRCS Med. Sci. 7,33; and (1981
Results 1  10
of
85