Results 41 to 50 of about 21,447 (236)

Identities for squared central binomial coefficients

, 2021
We prove four identities for the squared central binomial coefficients. The first three of them reflect certain transformation properties of the complete elliptic integrals of the first and the second kind, while the last one is based on properties of the Lagrange polynomials.
openaire   +3 more sources

Condition‐Associated Pattern Extraction and Recovery From Multi‐Condition Single‐Cell RNA‐seq Data With CAPER

Advanced Science, EarlyView.
Decoupling biological signals from unwanted variation in multi‑condition single‑cell RNA sequencing data remains challenging. CAPER disentangles condition‑associated biological effects from sample heterogeneity through matrix factorization, producing interpretable latent factors and a batch‑corrected expression matrix.
Ye Li, Jin Ning, An Wang, Minxi Shi, Yuanze Chen, Guoliang Liu, Shiquan Sun   +6 more
wiley   +1 more source

Cell‐Selective Delivery of RIBOTACs via an Anti‐EGFR Nanobody for Pancreatic Cancer Treatment

Advanced Science, EarlyView.
This study introduces an innovative strategy for the tumor‐selective catalytic degradation of oncogenic non‐coding RNA by interfacing a ribonuclease‐recruiting small molecule (RIBOTAC) with an EGFR‐targeting nanobody via a CTSB (Cathepsin B)‐responsive linker.
Tianli Luo, Yijuan Wang, Dengwang Chen, Yinghan Zhang, Yi Shuai, Hualiang Yao, Tao Jiang, Hang Jiang, Ming Zhong, Xiangeng Wang, Ziwei Wang, Chenchen Xu, Ajay Goel, Hoi Tang MA, Feng Gao, Xin Wang   +15 more
wiley   +1 more source

A Panel of Circulating Exosomal sncRNAs Associated With Lung Cancer Risk up to 10 Years in Advance

Advanced Science, EarlyView.
Lung cancer is often diagnosed too late, and current screening overlooks many people at risk. In a long‐term study of smokers, a panel of small non‐coding RNAs carried in blood exosomes signals elevated lung cancer risk up to ten years before diagnosis, pointing toward a blood‐based tool for earlier risk detection.
Zhuokun Feng, Masaki Nasu, Ayman Abdul‐Ghani, Yu Chen, Shaoqiu Chen, Isam Mohd Ibrahim, Hanqiu Zhang, Lauren Higa, Zitong Gao, Hua Yang, Raphael Bueno, Loïc Le Marchand, Youping Deng   +12 more
wiley   +1 more source

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

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