Results 111 to 120 of about 71,662 (302)
We present a simple, closed formula which gives all the primes in order. It is a simple product of integer floor and ceiling functions.
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DERIVATIONS ON PRIME AND SEMI-PRIME RINGS
Several results concerning derivations on rings and Banach algebras are proved. A sample theorem: Let \(n\) be a positive integer and let \(R\) be an \(n!\)-torsionfree semiprime ring. If \(D\) and \(G\) are derivations on \(R\) such that \([D^2(x)+G(x),x^n]=0\) for all \(x\in R\), then \([D(x),x]=[G(x),x]=0\) for all \(x\in R\).
Lee, Eun Hwi +2 more
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Structure‐forward targeting of claudins with synthetic binders
Claudins form the paracellular barriers between epithelial and endothelial tissues at tight junctions and are targets for molecular binders with the goal of modulating barrier permeability. Claudin‐binding molecules are relevant in drug delivery or in altering claudin interactions with disease‐causing proteins.
Alex J. Vecchio
wiley +1 more source
All-Pay Auctions with Different Forfeits
In an auction, each party bids a certain amount, and the one who bids the highest is the winner. Interestingly, auctions can also be used as models for other real-world systems. In an all-pay auction all parties must pay a forfeit for bidding.
Benjamin Kang, James Unwin
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Animals must match their growth rate to available nutrients. We show that in Drosophila larvae, the nutrient‐sensing TOR kinase controls growth by regulating levels of TFAM, a key regulator of mitochondrial function, in the adipose tissue. When nutrients are abundant, high TOR activity suppresses TFAM, lowering mitochondrial bioenergetic activity and ...
Shrivani Sriskanthadevan‐Pirahas +4 more
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Peripheral lysosomes recruit PLEKHG3 to focal adhesions and restrain protrusion dynamics
Proximity‐dependent labeling at the LAMTOR complex revealed the Rho GEF PLEKHG3 as a lysosome‐proximal protein directing the study toward the influence of lysosome positioning on actin dynamics and cell motility. We show that PLEKHG3 colocalizes with lysosomes at focal adhesion sites and observe that forced peripheral dispersion of lysosomes hinders ...
Rainer Ettelt +8 more
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Epigenetic reprogramming of lineage switching in cancer
Cancer cells rarely commit to a single identity. Epigenetic mechanisms and tumor microenvironment cues push epithelial cells toward flexible, hybrid states that can shift into mesenchymal, neuroendocrine, or stem‐like fates, driving metastasis, drug resistance, and tumor heterogeneity. Targeting the epigenetic regulators behind these transitions, using
Ezgi Boyvatlı +4 more
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The microbiome in human skin aging
Age‐related skin changes encompass the well‐known visible phenotypic alterations, together with microbiome dysbiosis and a series of molecular aging hallmarks. These hallmarks characterize not only a fully stablished aged phenotype but also the skin aging process itself.
Manuel Huerta Arana +3 more
wiley +1 more source
This review focuses on the role of autophagy and mitophagy in maintaining pancreatic β‐cell function and homeostasis. We discuss how genetic defects affecting these pathways contribute to the development of type 1, type 2, monogenic, and gestational diabetes. We further explore their potential as therapeutic targets. Created in BioRender.
Yunkyeong Lee +2 more
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