Results 61 to 70 of about 46,762 (263)

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

open access: yesAdvanced 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   +9 more
wiley   +1 more source

Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function

open access: yesAxioms, 2019
The aim of this paper is to construct generating functions for new families of combinatorial numbers and polynomials. By using these generating functions with their functional and differential equations, we not only investigate properties of these new ...
Irem Kucukoglu   +2 more
doaj   +1 more source

Harmonic number identities via polynomials with r-Lah coefficients

open access: yesComptes Rendus. Mathématique, 2020
In this paper, polynomials whose coefficients involve $r$-Lah numbers are used to evaluate several summation formulae involving binomial coefficients, Stirling numbers, harmonic or hyperharmonic numbers.
Kargın, Levent, Can, Mümün
doaj   +1 more source

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

open access: yesAdvanced 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   +12 more
wiley   +1 more source

Highly Sensitive Spatial Host‐Microbiome Transcriptomics in FFPE Tissues via Iterative Hydrogel Expansion

open access: yesAdvanced Science, EarlyView.
Ex‐spRandom is a spatial transcriptomics platform that synergizes random‐primed chemistry with iterative hydrogel expansion. By physically decrowding the dense FFPE matrix, this scalable technology shatters the traditional resolution‐sensitivity barrier.
Shunji Zhang   +7 more
wiley   +1 more source

Binomial Coefficients and Lucas Sequences

open access: yesJournal of Number Theory, 2002
Let sequences \(\{u_n\}_{n\geq 0}\) and \(\{v_n\}_{n\geq 0}\) be defined by \(u_n= \frac{a^n-b^n}{a-b}\), \(v_n= a^n+b^n\) where \(a,b\) are integers such that \(a>|b|\). (Such sequences are Lucas sequences such that the associated quadratic polynomial has integer roots.
Flammenkamp, Achim, Luca, Florian
openaire   +2 more sources

A divisibility property of binomial coefficients viewed as an elementary sieve

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1981
The triangular array of binomial coefficients 012301111212131331… is said to have undergone a j-shift if the r-th row of the triangle is shifted rj units to the right (r=0,1,2,…). Mann and Shanks have proved that in a 2-shifted array a column number c>
Richard H. Hudson, Kenneth S. Williams
doaj   +1 more source

Combinatorial representation of the sum of the weighted equal powers of members of an arithmetical progression

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
The correctness of equality which gives the combinatorial expression for the sum of the weighted equal powers of members of an arithmetical progression is found out.
Alexander I Nikonov
doaj   +1 more source

DyProL: Dynamic Ensemble Representation Learning for Protein–Nucleic Acid Binding Site Prediction

open access: yesAdvanced Science, EarlyView.
Protein function is represented as a dynamic conformational ensemble rather than a single static structure. A multi‐conformation geometric attention framework aligns, clusters, and learns representative states to capture residue‐ and ensemble‐level signals. Integrating structural dynamics improves interpretable protein‐NA binding prediction and reveals
Pengpai Li   +3 more
wiley   +1 more source

The update exposition of the components organisig the sum of weighted equal powers

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
The sum of the weighted equal powers with natural bases and parameters is organized of components, which are independent or dependent on weight coefficients.
Alexander I Nikonov
doaj  

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