Results 131 to 140 of about 28,093 (313)

The structure of manifolds of nonnegative sectional curvature

, 2011
Christy Cameron
openalex   +1 more source

Development of a Prediction Model for Progression Risk in High‐Grade Gliomas Based on Habitat Radiomics and Pathomics

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To investigate the value of constructing models based on habitat radiomics and pathomics for predicting the risk of progression in high‐grade gliomas. Methods This study conducted a retrospective analysis of preoperative magnetic resonance (MR) images and pathological sections from 72 patients diagnosed with high‐grade gliomas (52 ...
Yuchen Zhu, Yuxi Gong, Weilin Xu, Xingjian Sun, Gefei Jiang, Lei Qiu, Kexin Shi, Mengxing Wu, Yinjiao Fei, Jinling Yuan, Jinyan Luo, Yurong Li, Yuandong Cao, Minhong Pan, Shu Zhou   +14 more
wiley   +1 more source

Width estimate for overtorical bands with positive sectional curvatures [PDF]

, 2020
Jintian Zhu
openalex  

Unraveling the Molecular Mechanisms of Glioma Recurrence: A Study Integrating Single‐Cell and Spatial Transcriptomics

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Glioma recurrence severely impacts patient prognosis, with current treatments showing limited efficacy. Traditional methods struggle to analyze recurrence mechanisms due to challenges in assessing tumor heterogeneity, spatial dynamics, and gene networks.
Lei Qiu, Yinjiao Fei, Jiaxuan Ding, Kexin Shi, Jinyan Luo, Yuchen Zhu, Xingjian Sun, Gefei Jiang, Yuandong Cao, Weilin Xu, Shu Zhou   +10 more
wiley   +1 more source

The normal homogeneous space (𝖲𝖴(3)×𝖲𝖮(3))/𝖴^{∙}(2) has positive sectional curvature [PDF]

, 1999
Burkhard Wilking
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SECTIONAL CURVATURES OF GRASSMANN MANIFOLDS [PDF]

Proceedings of the National Academy of Sciences, 1968
openaire   +2 more sources

Fluctuation of Sectional Curvature for Closed Hypersurfaces

Rocky Mountain Journal of Mathematics, 2002
Let \(f: M\to (\mathbb{R}^{n+1},\text{can})\) be an immersion as a hypersurface of a smooth closed manifold \(M\) and denote by \(f^*\)can the pullback metric on \(M\) of the canonical metric can on \(\mathbb{R}^{n+1}\). If \(M\) is not diffeomorphic to \(S^n\), then the sectional curvature of \(M\) with respect to this metric cannot be constant and it
openaire   +2 more sources

CX3CL1 in Early Detection of Alzheimer's Disease: Plasma Dynamics Across Age and Disease Stages

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Backgrounds Alzheimer's disease (AD) is characterized by amyloid‐beta plaques, tau tangles, and neuroinflammation. C‐X3‐C motif chemokine ligand 1 (CX3CL1, also known as fractalkine), a neuroimmune chemokine implicated in AD pathogenesis, shows inconsistent alterations in plasma/serum across studies.
Ling Wang, Yujie Liu, Fei Li, Xuelin Li, Lanlan Li, Jie Zhang, Yali Xu   +6 more
wiley   +1 more source

SYMMETRIES OF SECTIONAL CURVATURE ON 3-MANIFOLDS [PDF]

, 1995
Luis A. Cordero, Phillip E. Parker
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Fluid Biomarkers of Disease Burden and Cognitive Dysfunction in Progressive Supranuclear Palsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Identifying objective biomarkers for progressive supranuclear palsy (PSP) is crucial to improving diagnosis and establishing clinical trial and treatment endpoints. This study evaluated fluid biomarkers in PSP versus controls and their associations with regional 18F‐PI‐2620 tau‐PET, clinical, and cognitive outcomes.
Roxane Dilcher, Charles B. Malpas, Stuart J. McDonald, William T. O’Brien, Craig Despott, Kelly L. Bertram, Matthew P. Pase, Lukas Frontzkowski, Meng Law, Terence J. O’Brien, Lucy Vivash   +10 more
wiley   +1 more source