Results 51 to 60 of about 90,542 (255)

The p-adic valuation of k-central binomial coefficients [PDF]

Acta Arithmetica, 2009
11 ...
Straub, Armin, Amdeberhan, Tewodros, Moll, Victor H.   +2 more
openaire   +2 more sources

Lucas' theorem: its generalizations, extensions and applications (1878--2014) [PDF]

, 2014
In 1878 \'E. Lucas proved a remarkable result which provides a simple way to compute the binomial coefficient ${n\choose m}$ modulo a prime $p$ in terms of the binomial coefficients of the base-$p$ digits of $n$ and $m$: {\it If $p$ is a prime, $n=n_0 ...
Meštrović, Romeo
core  

p16Ink4a‐Positive Hepatocytes Drive Liver Fibrosis Through Activation of LIFR Family Pathway

Advanced Science, EarlyView.
This study found that, following the long‐term CCl4 treatment, p16high hepatocytes appeared in zone 3, spatially co‐localizing with fibrotic areas. A specific cluster of p16high hepatocytes upregulated CTF1/LIF expression which induced HSC activation and further liver fibrosis, as revealed by single cell transcriptomic analysis.
Koji Nishikawa, Teh‐Wei Wang, Satoshi Kawakami, Shota Tanimoto, Kiyoshi Yamaguchi, Taketomo Kido, Masamichi Kimura, Tsunekazu Hishima, Yuki T. Okamura, Satotaka Omori, Takumi Iritani, Toshikaze Chiba, Takehiro Jimbo, Michio Katano, Kansuporn Kamataki, Ryoichi Yokoyama, Eigo Shimizu, Kiminori Kimura, Satoshi Yamzaki, Seiya Imoto, Yoichi Furukawa, Atsushi Miyajima, Yoshikazu Johmura, Makoto Nakanishi   +23 more
wiley   +1 more source

SiCmiR Atlas: Single‐Cell miRNA Landscape Reveals Hub‐miRNA and Network Signatures in Human Cancers

Advanced Science, EarlyView.
SiCmiR predicts mature miRNA activity at single‐cell resolution using only 977 landmark genes, enabling scalable reconstruction of miRNA landscapes across diverse tissues and disease contexts. The SiCmiR Atlas integrates 9.36 million cells with analytical tools for hub‐miRNA discovery, biomarker prioritization, and regulatory network interrogation ...
Xiao‐Xuan Cai, Jing‐Shan Liao, Jia‐Jun Ma, Yu‐Xuan Pang, Yi‐Gang Chen, Yang‐Chi‐Dung Lin, Yi‐Dan Chen, Xin Cao, Yi‐Cheng Zhang, Tao‐Sheng Xu, Tzong‐Yi Lee, Hsi‐Yuan Huang, Hsien‐Da Huang   +12 more
wiley   +1 more source

Polynomial Triangles Revisited [PDF]

, 2012
A polynomial triangle is an array whose inputs are the coefficients in integral powers of a polynomial. Although polynomial coefficients have appeared in several works, there is no systematic treatise on this topic. In this paper we plan to fill this gap.
Mohammedia Morocco, Nour-eddine Fahssi
core  

IGF‐1 Deficiency Serves as an Integrated Biomarker Pathogenic Driver and Predictor in Poor Ovarian Response

Advanced Science, EarlyView.
IGF‐1 deficiency underlies poor ovarian response (POR), as reduced levels in follicular fluid and granulosa cells impair antral follicle formation and compromise reproductive outcomes. Including IGF‐1 as a biomarker significantly enhances the accuracy of models predicting both PORrisk and pregnancy success.
Zhu Hu, Yuanyuan Yu, Guanyou Huang, Jinnan Li, Chao Yang, Aizhuan Long, Jia Tang, Tengxiang Chen, Shuyun Zhao, Tuo Zhang   +9 more
wiley   +1 more source

SpatialESD: Spatial Ensemble Domain Detection in Spatial Transcriptomics

Advanced Science, EarlyView.
ABSTRACT Spatial transcriptomics (ST) measures gene expression while preserving spatial context within tissues. One of the key tasks in ST analysis is spatial domain detection, which remains challenging due to the complex structure of ST data and the varying performance of individual clustering methods. To address this, we propose SpatialESD, a Spatial
Hongyan Cao, Gaiqin Liu, Jingyi Xia, Runle Chen, Tong Wang, Xiaoling Yang, Ruiling Fang, Yanhong Luo, Ping Zeng, Hongmei Yu, Yanbo Zhang, Yuehua Cui   +11 more
wiley   +1 more source

Formulas Involving Cauchy Polynomials, Bernoulli Polynomials, and Generalized Stirling Numbers of Both Kinds

Axioms
In this paper, we derive novel formulas and identities connecting Cauchy numbers and polynomials with both ordinary and generalized Stirling numbers, binomial coefficients, central factorial numbers, Euler polynomials, r-Whitney numbers, and ...
José L. Cereceda
doaj   +1 more source

Dysregulation of Oral Microbial Eicosapentaenoic Acid Induced by Chronic Restraint Stress Exacerbates Periodontitis via M1 Macrophage Polarization

Advanced Science, EarlyView.
ABSTRACT The intricate interplay between chronic psychological stress and periodontitis, mediated by oral microbiota and macrophage polarization, remains largely enigmatic. Here, we demonstrate that chronic restraint stress (CRS) exacerbates periodontitis by inducing oral microbial dysbiosis and a consequential shift in host metabolism.
Shihong Luo, Fangzhi Lou, Peiran Yang, Yu Zhang, Li Yan, Yunmei Dong, Bing Yang, Haiyang Wang, Yiyun Liu, Juncai Pu, Richard D. Cannon, Peng Xie, Ping Ji, Xin Jin   +13 more
wiley   +1 more source

The congruence of Wolstenholme and generalized binomial coefficients related to Lucas sequences [PDF]

, 2014
Using generalized binomial coefficients with respect to fundamental Lucas sequences we establish congruences that generalize the classical congruence of Wolstenholme and other related stronger congruences.Comment: 23 ...
Ballot, Christian
core