Results 61 to 70 of about 200,234 (137)

Some Conjectures on Wronskian and Casorati Determinants of Orthogonal Polynomials [PDF]

, 2015
In this paper, we conjecture some regularity properties for the zeros of Wronskian and Casorati determinants whose entries are orthogonal polynomials. These determinants are formed by choosing orthogonal polynomials whose degrees run on a finite set of ...
Mario Pérez, Durán, A.J. [0000-0002-8351-7392], Antonio J. Durán, Varona, J.L. [0000-0002-2023-9946], Pérez, M. [0000-0002-3050-3712], Juan L. Varona, Pérez, M., Durán, A.J., Varona, J.L.   +8 more
core   +1 more source

Dynamic contrast enhanced‐magnetic resonance fingerprinting (DCE‐MRF): A new quantitative MRI method to reliably assess tumor vascular perfusion

Magnetic Resonance in Medicine, Volume 94, Issue 6, Page 2578-2592, December 2025.
Abstract Purpose The clinical utility of conventional DCE‐MRI methods is limited by the use of conventional qualitative dynamic T1‐weighted images, resulting in poor reproducibility. This study presents the initial implementation of a new DCE‐magnetic resonance fingerprinting (DCE‐MRF) methodology to provide reproducible, quantitative assessments of ...
Christina J. MacAskill, Yuran Zhu, Guanhua Wang, Bernadette O. Erokwu, Chetan B. Dhakan, Andrew Dupuis, Barbara J. Schiemann, Michael Kavran, Chunying Wu, William P. Schiemann, Mark A. Griswold, Xin Yu, Mark D. Pagel, Chris A. Flask   +13 more
wiley   +1 more source

Comparison of Low‐Rank Denoising Methods for Dynamic Deuterium MRSI at 7 T

NMR in Biomedicine, Volume 38, Issue 10, October 2025.
Six low‐rank denoising methods for dynamic 2H‐MRSI were compared using simulated and in vivo data: Global PS, Local PS, Stacked PS, SPIN‐SVD, GL‐HOSVD and tMPPCA. SPIN‐SVD performed best in simulations, while SPIN‐SVD, GL‐HOSVD and tMPPCA performed well in vivo. GL‐HOSVD and tMPPCA performed similarly, with tMPPCA preferred for computational efficiency.
Anna Duguid, Fabian Niess, Wolfgang Bogner, Lukas Hingerl, Viola Bader, Sabina Frese, Aaron Osburg, Bernard Lanz, Brayan Alves, Cristina Cudalbu, Simon Daniel Robinson, Korbinian Eckstein, Bernhard Strasser   +12 more
wiley   +1 more source

On the extrinsic principal directions of Riemannian submanifolds [PDF]

, 2010
The Casorati curvature of a submanifold $M^n$ of a Riemannianmanifold ${\widetilde{M}^{n + m}}$ is known to be the normalized square of the lengthof the second fundamental form, $C = \frac{1}{n}\|h\|^2$, i.e., inparticular, for hypersurfaces, $C = \frac ...
Haesen, Stefan, Verstraelen, Leopold, Kowalczyk, Daniel   +2 more
core   +1 more source

Some Basic Inequalities on (ϵ)-Para Sasakian Manifold

, 2022
We propose fundamental inequalities for contact pseudo-slant submanifolds of (ϵ)-para Sasakian space form employing generalized normalized δ-Casorati curvature.
Majid Choudhary, Mohd Siddiqi, Mohammad Khan   +2 more
core   +1 more source

BACK TO A REAL WORLD: THE GENESIS OF CASORATI’S LAST PAPER

, 2023
In his last paper, Felice Casorati proposed an extrinsic measure of curvature of a surface that vanishes only on planes. His proposal triggered strong reactions in the mathematical community that we examine here, also by use of unpublished material.
Pisati A., Rosso Riccardo
core   +2 more sources

Accelerating 3D radial MPnRAGE using a self‐supervised deep factor model

Magnetic Resonance in Medicine, Volume 94, Issue 3, Page 1191-1201, September 2025.
ABSTRACT Purpose To develop a self‐supervised and memory‐efficient deep learning image reconstruction method for 4D non‐Cartesian MRI with high resolution and a large parametric dimension. Methods The deep factor model (DFM) represents a parametric series of 3D multicontrast images using a neural network conditioned by the inversion time using ...
Yan Chen, Steve R. Kecskemeti, James H. Holmes, Curtis A. Corum, Nima Yaghoobi, Vincent A. Magnotta, Mathews Jacob   +6 more
wiley   +1 more source

An Optimal Inequality for Warped Product Pointwise Semi-Slant Submanifolds in Complex Space Forms

Axioms
In this paper, we utilize advanced optimization techniques on Riemannian submanifolds to establish two distinct inequalities concerning the generalized normalized δ-Casorati curvatures of warped product pointwise semi-slant (WPPSS) submanifolds within ...
Md Aquib
doaj   +1 more source

High‐resolution, volumetric diffusion‐weighted MR spectroscopic imaging of the brain

Magnetic Resonance in Medicine, Volume 94, Issue 2, Page 450-469, August 2025.
ABSTRACT Purpose To achieve high‐resolution, three‐dimensional (3D) quantitative diffusion‐weighted MR spectroscopic imaging (DW‐MRSI) for molecule‐specific microstructural imaging of the brain. Methods We introduced and integrated several innovative acquisition and processing strategies for DW‐MRSI: (a) a new double‐spin‐echo sequence combining ...
Zepeng Wang, Bradley P. Sutton, Fan Lam
wiley   +1 more source

Ammonia Dynamics in the Human Body: Insights in Biomedical Sensing Technologies

Advanced Sensor Research, Volume 4, Issue 7, July 2025.
Ammonia (NH3) is a significant biomarker in diagnostics, affecting the respiratory system, stomach, liver, kidneys, bladder, and gastrointestinal tract. NH3 detection, using sensors, has the potential to improve medical diagnosis. This review examines recent advancements in NH3 sensing technologies and explores future research directions, including ...
Annelot Nijkoops, Manuela Ciocca, Martina Aurora Costa Angeli, Silvia Pogliaghi, Soufiane Krik, Enrico Avancini, Niko Münzenrieder, Paolo Lugli, Luisa Petti   +8 more
wiley   +1 more source