Results 61 to 70 of about 7,070,887 (229)

On congruences related to central binomial coefficients, harmonic and Lucasnumbers

TURKISH JOURNAL OF MATHEMATICS, 2016
Summary: In this paper, using some combinatorial identities, we present new congruences involving central binomial coefficients and harmonic, Catalan, and Fibonacci numbers. For example, for an odd prime \(p\), we have \[\begin{aligned} \sum\limits_{k=1}^{\left( p-1\right) /2}\left( -1\right) ^{k}\binom{2k}{k} H_{k-1} &\equiv \frac{2^{p}}{p}\left( 2F_ ...
KOPARAL, SİBEL, ÖMÜR, NEŞE
openaire   +6 more sources

Heat Stress Promotes Fibroblast‐Derived WNT5A Secretion Through m6A Modification to Activate Melanogenesis

Advanced Science, EarlyView.
Heat stress promotes WNT5A secretion from fibroblasts via METTL3/YTHDC1‐dependent m6A methylation. Subsequently, WNT5A binds to FZD10 on melanocytes, activating β‐catenin‐driven melanogenesis. ABSTRACT As the impact of global warming continues to intensify, the effects of heat stress on the skin are becoming increasingly evident.
Yuanyuan Wan, Yaqing Wen, Yushan Zhang, Lan Zhang, Jianjian Zhu, Zhen Tang, Ling Jiang, Chuhan Fu, Shu Zhou, Keyi Zhang, Jiangfeng Huang, Li Lei, Jing Chen, Qinghai Zeng   +13 more
wiley   +1 more source

Lipidomic Profile Reconstruction of Therapeutic Membrane Targets Using Physics‐Based Optimization with Limited Activity Data

Advanced Science, EarlyView.
Using a minimal set of experimentally labeled antimicrobial and non‐antimicrobial peptides, we reconstruct the effective lipid composition of a pathogenic membrane ‐demonstrated at the example of bacterial membranes‐ through a physics‐based evolutionary molecular dynamics (Evo‐MD) approach. Optimization based on peptide insertion reveals broad‐spectrum
Maximilian Krebs, Herre Jelger Risselada
wiley   +1 more source

TSTScope Unifies Single‐Cell Multi‐Omics to Identify Functional T Cell States Predictive of Immunotherapy Response

Advanced Science, EarlyView.
TSTScope is an interpretable AI framework that integrates single‐cell transcriptomes with TCR information through curated gene‐program constraints. By linking receptor context to functional T cell states, it reveals response‐associated tumor‐specific T cell programs in lung cancer immunotherapy cohorts and defines an MPR score associated with ...
Shiwei Cao, Jinyu Cheng, Feng‐ao Wang, Chenxin Yi, Jiajun Chen, Keyue Wang, Lulu Liu, Junwei Liu, Yixue Li   +8 more
wiley   +1 more source

Overlapping genes connect rheumatoid arthritis and head and neck cancer: coincidence or shared immune pathophysiology?

Frontiers in Medicine
IntroductionDespite advances in understanding the pathophysiology of rheumatoid arthritis (RA) and head and neck cancer (HNC) individually, their shared genetic and molecular mechanisms remain poorly defined.MethodsThis study aimed to explore gene-level ...
Ran Wang, Haiyang Li, Haiyang Li, Yifan Yang, Yifan Yang, Meng Lian, Meng Lian   +6 more
doaj   +1 more source

An identity for the central binomial coefficient

, 2012
We find the joint distribution of three simple statistics on lattice paths of n upsteps and n downsteps leading to a triple sum identity for the central binomial coefficient {2n}-choose-{n}. We explain why one of the constituent double sums counts the irreducible pairs of compositions considered by Bender et al., and we evaluate some of the other sums.
openaire   +2 more sources

Dual‐line Genome‐scale CRISPR Screening Enables Robust Target Gene Discovery

Advanced Science, EarlyView.
A species‐optimized CRISPR platform integrates efficient piggyBac delivery, genome‐scale sgRNA libraries, and parallel screening in two independently engineered Bactrocera dorsalis Cas9 cell lines. Cross‐line consensus analysis filters line‐specific effects, enriches candidates with reproducible in vivo phenotypes, and reveals conserved, species ...
Ziniu Li, Jiao Qiao, Qiuyuan Zhang, Peipei Liu, Chenjun Zheng, Qi Zhou, Mengqi Ji, Zhihui Zhu, Xiaoxue Li, Hongyu Zhang   +9 more
wiley   +1 more source

Spatiotemporal Trends and Co-Resistance Patterns of Multidrug-Resistant Enteric Escherichia coli O157 Infections in Humans in the United States

Pathogens
Multidrug-resistant (MDR) Shiga toxin-producing Escherichia coli O157 (STEC O157) is a public health threat. This study analyzed publicly available surveillance data collected by the National Antimicrobial Resistance Monitoring System (NARMS) to assess ...
Tarjani Bhatt, Csaba Varga
doaj   +1 more source

TAB2 Causes Neuronal Damage by Aggravating Microglia‐Mediated Neuroinflammation in Parkinson's Disease

Advanced Science, EarlyView.
In microglia, STAT3 upregulates TAB2, which promotes NF‐κB activation through its NZF domain‐mediated recognition of K63‐linked ubiquitin chains, leading to inflammatory cytokine release and subsequent neuronal injury. Lumacaftor suppresses TAB2 expression and directly binds the TAB2‐NZF domain to interrupt K63 ubiquitin recognition, thereby blocking ...
Yanhao Zhao, Zimeng Huang, Jianing Gao, Aolan Li, Huizhi Wang, Yingchuan Chen, Guanyu Zhu, Xin Zhang, Yin Jiang, Moxuan Zhang, Fangang Meng, Jianguo Zhang, Tingting Du   +12 more
wiley   +1 more source

Central binomial coefficients divisible by or coprime to their indices [PDF]

International Journal of Number Theory, 2018
Let [Formula: see text] be the set of all positive integers [Formula: see text] such that [Formula: see text] divides the central binomial coefficient [Formula: see text]. Pomerance proved that the upper density of [Formula: see text] is at most [Formula: see text]. We improve this bound to [Formula: see text].
openaire   +4 more sources