Results 31 to 40 of about 121 (91)

A new proof for some optimal inequalities involving generalized normalized δ-Casorati curvatures [PDF]

Journal of Inequalities and Applications, 2015
Let \(M\) be an \(n\)-dimensional Riemannian submanifold of a Riemannian manifold \((\bar{M},\bar{g})\). Then it is known that the Casorati curvature of \(M\) is an extrinsic invariant defined as the normalized square of the length of the second fundamental form \(h\) of the submanifold (of dimension \(n\)).
Lee, Chul Woo, Lee, Jae Won, Vîlcu, Gabriel-Eduard   +2 more
openaire   +3 more sources

Bounds of generalized normalized $$\delta $$δ-Casorati curvatures for real hypersurfaces in the complex quadric [PDF]

Arabian Journal of Mathematics, 2018
In this paper, the authors prove two optimal inequalities that relate the normalized scalar curvature with the generalized normalized Casorati curvatures for a real hypersurface in the complex quadric \(Q^m\). The proof is based on an optimization procedure involving a quadratic polynomial in the components of the second fundamental form.
Bansal, Pooja, Shahid, Mohammad Hasan
openaire   +2 more sources

Pinching Results for Submanifolds in Lorentzian–Sasakian Manifolds Endowed with a Semi-Symmetric Non-Metric Connection

Mathematics
We establish an improved Chen inequality involving scalar curvature and mean curvature and geometric inequalities for Casorati curvatures, on slant submanifolds in a Lorentzian–Sasakian space form endowed with a semi-symmetric non-metric connection. Also,
Mohammed Mohammed, Ion Mihai, Andreea Olteanu   +2 more
doaj   +1 more source

Ultra‐High Frequency Ultrasound Imaging and Quantification of Microvascular Flow in Xenograft Renal Cell Carcinoma in an Avian Chorioallantoic Membrane Model

Journal of Ultrasound in Medicine, EarlyView.
Patient‐derived xenograft (PDX) tumor models initiated in avian chorioallantoic membranes (CAM) are under investigation to evaluate the effectiveness of therapeutic options with the objective of personalizing treatments. CAM PDXs paired with ultra‐high frequency ultrasound (UHFUS) imaging could potentially constitute prospective high throughput assays ...
Sara Mar, Emmanuel Chérin, Justin Xu, David E. Goertz, Hon S. Leong, Christine E.M. Demore   +5 more
wiley   +1 more source

Statistical Solitons and Inequalities for Statistical Warped Product Submanifolds

Mathematics, 2019
Warped products play crucial roles in differential geometry, as well as in mathematical physics, especially in general relativity. In this article, first we define and study statistical solitons on Ricci-symmetric statistical warped products R ×
Aliya Naaz Siddiqui, Bang-Yen Chen, Oguzhan Bahadir   +2 more
doaj   +1 more source

In silico modelling of multi‐electrode arrays for enhancing cardiac drug testing on hiPSC‐CM heterogeneous tissues

The Journal of Physiology, EarlyView.
Abstract figure legend Schematic overview of the experimental and computational framework for investigating hiPSC‐CM electrophysiology with MEA systems. The MEA‐based model integrates experimental data with phenotype‐specific ionic models and tissue‐level heterogeneity.
Sofia Botti, Rolf Krause, Luca F. Pavarino   +2 more
wiley   +1 more source

Multiple‐TE Based Blood–Brain‐Barrier Water Exchange Time Measurement Using a TE‐Resolved 3D TSE Stack‐Of‐Spirals Readout

Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1629-1644, October 2026.
ABSTRACT Purpose To develop a slice‐wise blurring‐free and densely sampled TE‐resolved multiple‐TE (mTE) ASL sequence (TASL) for measuring blood–brain barrier (BBB) water exchange time. Methods A 3D TSE spiral‐readout pCASL sequence was modified to enable TE‐resolved acquisition.
Bo Li, Yiran Li, Xiao Liang, Amnah Mahroo, Manuel Taso, Marta Vidorreta Díaz de Cerio, Lucas Lemos Franco, Yulin Chang, María Asunción Fernández Seara, Matthias Günther, John A. Detre, Ze Wang   +11 more
wiley   +1 more source

Enhanced 2D Spiral Cine DENSE MRI Using Low‐Rank Denoising for Improved Apparent Signal‐to‐Noise Ratio, Spatial Resolution, Efficiency, Accuracy, and Accessibility

Magnetic Resonance in Medicine, Volume 96, Issue 1, Page 403-419, July 2026.
ABSTRACT Purpose To develop a denoising technique for displacement encoding with stimulated echoes (DENSE) MRI that improves spatial resolution, efficiency, and accuracy, and enhances accessibility by implementing DENSE MRI at 0.55 T. Methods We developed a low‐rank denoising technique, which leverages multidimensional spiral cine DENSE MRI data for ...
Shu‐Fu Shih, Yuxiao Wu, Siyue Li, Zhengyang Ming, Arutyun Pogosyan, Fei Han, Holden H. Wu, J. Paul Finn, Kim‐Lien Nguyen, Xiaodong Zhong   +9 more
wiley   +1 more source

Casorati Inequalities for Submanifolds in a Riemannian Manifold of Quasi-Constant Curvature with a Semi-Symmetric Metric Connection [PDF]

Symmetry, 2016
By using new algebraic techniques, two Casorati inequalities are established for submanifolds in a Riemannian manifold of quasi-constant curvature with a semi-symmetric metric connection, which generalize inequalities obtained by Lee et al. J. Inequal. Appl. 2014, 2014, 327.
Zhang, Pan, Zhang, Liang
openaire   +1 more source

High‐Resolution Diffusion‐Weighted Imaging With Self‐Gated Self‐Supervised Unrolled Reconstruction

Magnetic Resonance in Medicine, Volume 95, Issue 5, Page 2852-2862, May 2026.
ABSTRACT Purpose High‐resolution diffusion‐weighted imaging (DWI) is clinically demanding. The purpose of this work is to develop an efficient self‐supervised algorithm unrolling technique for submillimeter‐resolution DWI. Methods We developed submillimeter DWI acquisition utilizing multi‐band multi‐shot EPI with diffusion shift encoding.
Zhengguo Tan, Patrick A. Liebig, Annika Hofmann, Frederik B. Laun, Florian Knoll   +4 more
wiley   +1 more source