Results 51 to 60 of about 21,447 (236)
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
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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
Central binomial coefficients divisible by or coprime to their indices [PDF]
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].
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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
Modified Generalized Stirling Numbers and Their Matrix Representation
This paper presents a comprehensive study of advanced classes of Stirling numbers within combinatorial analysis and discrete mathematics. The first class examined is the Comtet non-central Stirling numbers of the first and second kinds, which extend the ...
Beih El desouky, Maha Abdelghany Mohamed
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Two permutation classes enumerated by the central binomial coefficients
We define a map between the set of permutations that avoid either the four patterns $3214,3241,4213,4231$ or $3124,3142,4123,4132$, and the set of Dyck prefixes. This map, when restricted to either of the two classes, turns out to be a bijection that allows us to determine some notable features of these permutations, such as the distribution of the ...
BARNABEI, MARILENA +2 more
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DyProL: Dynamic Ensemble Representation Learning for Protein–Nucleic Acid Binding Site Prediction
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
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Even though Artificial Intelligence has become a rapidly growing research focus in the field of school leadership and management, it has not been statistically examined how the knowledge production structure and citation networks of this exponentially ...
Turgut Karaköse +4 more
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Mesenchymal GSCs preferentially uptake palmitic acid, thereby promoting ZDHHC12‐mediated LDHA palmitoylation. This modification enhances LDHA enzymatic activity, drives glycolytic reprogramming, and facilitates exosomal LDHA‐mediated TAM regulation.
Zijie Gao +20 more
wiley +1 more source
Towards a Compositional Framework for Describing Human Phenotypes
The Phenotype Assembly Method (PhenoAM) decomposes phenotype variables into measurable Features and typed Qualifiers, enabling standardized, machine‐readable Phenome Data Elements (PhenoDEs) that preserve measurement context. Applied in the International Human Phenome Project (IHPP), the framework yields 58 371 PhenoDEs and supports component‐level ...
Wanting Hu +11 more
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