INTRODUCTION AND OBJECTIVES Deeper understanding of the myocardial structure linking the morphology and function of the heart would unravel crucial knowledge for medical and surgical clinical procedures and studies. Several conceptual models of myocardial fiber organization have been proposed but the lack of an automatic and objective methodology prevented an agreement. We sought to deepen this...

Diffusion weighted MR imaging is a powerful tool that can be employed to study white matter microstructure by examing the 3D displacement profile of water molecules in brain tissue. By applying diffusion-sensitizing gradients along a minimum of 6 directions, second-order tensors can be computed to model dominant diffusion processes. However, it has been shown that conventional DTI is not suffic...

A 36-year-old woman, diagnosed with systemic lupus erythematosus (SLE), showed bulbar symptoms including impaired memory, slurred speech and swallowing difficulty 7 days before admission. Magnetic resonance imaging (MRI) showed symmetric confluent hyperintensities in the bilateral cerebral white matter on T2 weighted imaging (T2-WI), extended into the genu of the internal capsule and the crus c...

This study aims to investigate and optimize the effects of the main parameters including the particle size, gravity and magnetic separation combination, high gradient magnetic separation, magnetic field intensity, shaking table slope, washing water flow, and electrostatic separation upon the rare earth element (REE) recoveries from iron mine waste. The electron microprobe showed that high amoun...

There are conflicting opinions in the literature as to whether it is more beneficial to use a large number of gradient sampling orientations in diffusion tensor MRI (DT-MRI) experiments than to use a smaller number of carefully chosen orientations. In this study, Monte Carlo simulations were used to study the effect of using different gradient sampling schemes on estimates of tensor-derived qua...

Tensor regression has shown to be advantageous in learning tasks with multi-directional relatedness. Given massive multiway data, traditional methods are often too slow to operate on or suffer from memory bottleneck. In this paper, we introduce subsampled tensor projected gradient to solve the problem. Our algorithm is impressively simple and efficient. It is built upon projected gradient metho...

The exact vacuum polarization 4-tensor in the presence of a static magnetic field is calculated by a method due to Svetozarova and Tsytovich. The Hermitian part of the tensor is explicitly renormalized by Shabad’s diagonalization with respect to tensor indices and the anti-Hermitian part of the tensor is found to be finite and gauge invariant. An alternative method for calculating the vacuum po...

Magnetic translation groups are considered as central extensions of the translation group T ≃ ZZ by the group of factors (a gauge group) U(1). The obtained general formulae allow to consider a magnetic field as an antisymmetric tensor (of rank 2) and factor systems are determined by a transvection of this tensor with a tensor product t⊗ t.

Introduction: The medical imaging methods of Computed Tomography (CT), Magnetic Resonance Imaging (MRI) and Positron Emission Tomography (PET) are well established, each with their own advantages and disadvantages. There appears to be an ever increasing need to combine these modes of imaging, with the view of providing earlier diagnosis of disease, improved treatment planning and better patient...