Results 31 to 40 of about 1,141,676 (232)

Small values of the Euler function and the Riemann hypothesis

, 2012
Let $\vfi$ be Euler's function, $\ga$ be Euler's constant and $N_k$ be the product of the first $k$ primes. In this article, we consider the function $c(n) =(n/\vfi(n)-e^\ga\log\log n)\sqrt{\log n}$. Under Riemann's hypothesis, it is proved that $c(N_k)$
Nicolas, Jean-Louis
core   +3 more sources

The cytoskeletal control of B cell receptor and integrin signaling in normal B cells and chronic lymphocytic leukemia

FEBS Letters, EarlyView.
In lymphoid organs, antigen recognition and B cell receptor signaling rely on integrins and the cytoskeleton. Integrins act as mechanoreceptors, couple B cell receptor activation to cytoskeletal remodeling, and support immune synapse formation as well as antigen extraction.
Abhishek Pethe, Tanja Nicole Hartmann
wiley   +1 more source

miRNA‐29 regulates epidermal and mesenchymal functions in skin repair

FEBS Letters, EarlyView.
miRNA‐29 inhibits cell‐to‐cell and cell‐to‐matrix adhesion by silencing mRNA targets. Adhesion is controlled by complex interactions between many types of molecules coded by mRNAs. This is crucial for keeping together the layers of the skin and for regenerating the skin after wounding.
Lalitha Thiagarajan, Rosa Sanchez‐Alvarez, Chiho Kambara, Poojitha Rajasekar, Yuluang Wang, François Halloy, Jonathan Hall, Hans‐Jürgen Stark, Iris Martin, Petra Boukamp, Svitlana Kurinna   +10 more
wiley   +1 more source

Polynomial Threshold Functions, AC^0 Functions and Spectral Norms [PDF]

, 1990
The class of polynomial-threshold functions is studied using harmonic analysis, and the results are used to derive lower bounds related to AC^0 functions.
Bruck, Jehoshua, Smolensky, Roman
core  

A cellular system to study responses to a collision between the transcription complex and a protein‐bound nick in the DNA template

FEBS Letters, EarlyView.
We present the cellular transcription‐coupled Flp‐nick system allowing the introduction of a Top1‐mimicking cleavage complex (Flpcc) at a Flp recognition target site within a controllable LacZ gene. LacZ transcription leads to the collision of RNA polymerase II (RNAPII) with Flpcc, and this causes RNAPII stalling, ubiquitination, and degradation.
Petra Herring, Morten Roedgaard, Camilla Myrup Holst, Helene Christensen, Birgitta R. Knudsen, Lotte Bjergbaek, Anni Hangaard Andersen   +6 more
wiley   +1 more source

Third Order Trace Formula

, 2012
In (J. Funct. Anal. 257, 1092-1132 (2009)), Dykema and Skripka showed the existence of higher order spectral shift functions when the unperturbed self-adjoint operator is bounded and the perturbations is Hilbert-Schmidt.
Chattopadhyay, Arup, Sinha, Kalyan B.
core   +1 more source

Interaction vesicles as emerging mediators of host‐pathogen molecular crosstalk and their implications for infection dynamics

FEBS Letters, EarlyView.
Interaction extracellular vesicles (iEVs) are hybrid vesicles formed through host‐pathogen communication. They facilitate immune evasion, transfer pathogens' molecules, increase host cell uptake, and enhance virulence. This Perspective article illustrates the multifunctional roles of iEVs and highlights their emerging relevance in infection dynamics ...
Bruna Sabatke, Izadora Volpato Rossi, Marcel I. Ramirez   +2 more
wiley   +1 more source

Ion channel function of polycystin‐2/polycystin‐1 heteromer revealed by structure‐guided mutagenesis

FEBS Letters, EarlyView.
Mutations in polycystin‐1 (PC1) or polycystin‐2 (PC2) cause autosomal‐dominant polycystic kidney disease (ADPKD). We generated a novel gain‐of‐function PC2/PC1 heteromeric ion channel by mutating pore‐blocking residues. Moreover, we demonstrated that PC2 will preferentially assemble with PC1 to form heteromeric complexes when PC1 is co‐expressed ...
Tobias Staudner, Juthamas Khamseekaew, M. Gregor Madej, Linda Geiges, Bardha Azemi, Christine Ziegler, Christoph Korbmacher, Alexandr V. Ilyaskin   +7 more
wiley   +1 more source

On rational bounds for the gamma function [PDF]

Journal of Inequalities and Applications, 2017
In the article, we prove that the double inequality [Formula: see text] holds for all [Formula: see text], we present the best possible constants λ and μ such that [Formula: see text] for all [Formula: see text], and we find the value of [Formula: see text] in the interval [Formula: see text] such that [Formula: see text] for [Formula: see text] and ...
Wen Zhang, Wei-Mao Qian, Zhen-Hang Yang, Yu-Ming Chu   +3 more
openaire   +4 more sources

A stepwise emergence of evolution in the RNA world

FEBS Letters, EarlyView.
How did biological evolution emerge from chemical reactions? This perspective proposes a gradual scenario of self‐organization among RNA molecules, where catalytic feedback on random mixtures plays the central role. Short oligomers cross‐ligate, and self‐assembly enables heritable variations. An event of template‐externalization marks the transition to
Philippe Nghe
wiley   +1 more source