Results 151 to 160 of about 193,300 (324)

Quantum Principal Bundles

, 1993
A noncommutative-geometric generalization of the theory of principal bundles is sketched. A differential calculus over corresponding quantum principal bundles is analysed. The formalism of connections is presented. In particular, operators of covariant derivative and horizontal projection are described and analysed. Quantum counterparts for the Bianchi
openaire   +2 more sources

ITGAV and SMAD4 influence the progression and clinical outcome of pancreatic ductal adenocarcinoma

Molecular Oncology, EarlyView.
In SMAD4‐positive pancreatic ductal adenocarcinoma (PDAC), integrin subunit alpha V (ITGAV) activates latent TGF‐β, which binds to the TGF‐β receptor and phosphorylates SMAD2/3. The activated SMAD2/3 forms a complex with SMAD4, and together they translocate to the nucleus, modulating gene expression to promote proliferation, migration, and invasion. In
Daniel K. C. Lee, Keyue Chen, Ryan Loke, Xiang Li, David Liubart, Golam T. Saffi, Jonathan T. S. Chow, Ché M. P. Melo, Lydia To, Leonardo Salmena   +9 more
wiley   +1 more source

The vegetative organ structure and ecological adaptability of six orchid species in Karst area in the Beipan River of Guizhou Province

Xibei zhiwu xuebao
[Objective] The purpose of this study is to elucidate the adaptive traits of the vegetative organ structure of Orchidaceae to Karst habitats, in order to reveal the survival strategies of different orchid species in response to habitat heterogeneity ...
WU Tianrou, AN Mingtai, WANG Kun, YU Jianghong, TANG Yubin   +4 more
doaj   +1 more source

Machine learning for identifying liver and pancreas cancers through comprehensive serum glycopeptide spectra analysis: a case‐control study

Molecular Oncology, EarlyView.
This study presents a novel AI‐based diagnostic approach—comprehensive serum glycopeptide spectra analysis (CSGSA)—that integrates tumor markers and enriched glycopeptides from serum. Using a neural network model, this method accurately distinguishes liver and pancreatic cancers from healthy individuals.
Motoyuki Kohjima, Yuko Takami, Ken Kawabe, Kazuhiro Tanabe, Chihiro Hayashi, Mikio Mikami, Tetsuya Kusumoto   +6 more
wiley   +1 more source

Note on the group of vertical diffeomorphisms of a principal bundle & its relation to the Frölicher-Nijenhuis bracket

Journal of High Energy Physics
The group of vertical diffeomorphisms of a principal bundle forms the action Lie groupoid associated to the bundle. The former is generated by the group of maps with value in the structure group, which is also the group of bisections of the groupoid. The
J. François
doaj   +1 more source

Comprehensive profiling of lncRNAs and mRNAs enriched in small extracellular vesicles for early noninvasive detection of colorectal cancer: diagnostic panel assembly and extensive validation

Molecular Oncology, EarlyView.
Small extracellular vesicles are a promising source of diagnostic molecules. We conducted a comprehensive study, including transcriptome profiling and RT‐qPCR validation on large cohorts of samples. Diagnostic panels enabling sensitive detection of colorectal cancer and precancerous lesions were established. Some molecules were differentially expressed
Petra Vychytilova‐Faltejskova, Marketa Pavlikova, Lucie Pifkova, Robin Jugas, Tana Machackova, Lenka Radova, Milana Sachlova, Renata Bartosova, Tetiana Samoilenko, Zuzana Feckova, Jana Orlickova, Erika Slamova, Elleni Ponechal Michu, Dagmar Al Tukmachi, Michaela Ruckova, Martina Vodinska, Jan Kotoucek, Tina Catela Ivkovic, Marie Boudna, Lucia Bohovicova, Teodor Stanek, Jana Halamkova, Martin Svoboda, Vladimir Prochazka, Tomas Grolich, Zdenek Kala, Ondrej Slaby   +26 more
wiley   +1 more source

On grobal hypoellipticity of horizontal Laplacians on compact principal bundles [PDF]

, 1991
Hideki Omori
openalex   +1 more source

The critical role of DNA damage‐inducible transcript 4 (DDIT4) in stemness character of leukemia cells and leukemia initiation

Molecular Oncology, EarlyView.
Stemness properties, including quiescence, self‐renewal, and chemoresistance, are closely associated with leukemia relapse. Here, we demonstrate that DNA damage‐inducible transcript 4 (DDIT4) is induced in the hypoxic bone marrow niche and is essential for maintaining the stemness of AML1‐ETO9a leukemia cells.
Yishuang Li, Zhijie Cao, Haiyan Xing, Zhenya Xue, Wenbing Liu, Jiayuan Chen, Yihan Mei, Runxia Gu, Hui Wei, Shaowei Qiu, Min Wang, Qing Rao, Jianxiang Wang   +12 more
wiley   +1 more source

Curved Casimir Operators and the BGG Machinery

Symmetry, Integrability and Geometry: Methods and Applications, 2007
We prove that the Casimir operator acting on sections of a homogeneous vector bundle over a generalized flag manifold naturally extends to an invariant differential operator on arbitrary parabolic geometries.
Andreas Cap, Vladimír Soucek
doaj  

Quantum principal bundles and their characteristic classes [PDF]

, 1997
Mićo Đurđević
openalex   +1 more source