Results 61 to 70 of about 5,990,152 (267)

Neutralization of the PTX3/CD44 axis suppresses TGF‐β1 signaling in kidney fibrosis

FEBS Letters, EarlyView.
This study investigates how the PTX3/CD44 axis promotes kidney fibrosis by activating TGF‐β1 signaling. We demonstrate that the neutralizing antibody WHC‐001 effectively inhibits this pathway, suppressing myofibroblast activation and partial epithelial–mesenchymal transition (EMT).
Chao‐Chun Cheng, Shen‐Shin Chang, Feng‐Wei Chen, Ying‐Chieh Su, Thanh Phuong Nguyen, Yu‐Wei Hsiao, Jhih‐Ying Chi, Hsin‐Yin Liang, Ju‐Ming Wang   +8 more
wiley   +1 more source

Computing Prime Harmonic Sums [PDF]

, 2009
We discuss a method for computing Σ ≤ 1/ , using time about 2/3 and space about 1/3. It is based on the Meissel-Lehmer algorithm for computing the prime-counting function ( ), which was adapted and improved by Lagarias, Miller, and Odlyzko.
Klyve, Dominic, Sorenson, Jonathan P, Bach, Eric   +2 more
core   +1 more source

The n^th Prime Exponentially

Mathematics
Consider both the Logarithmic integral, Li(x)=limϵ→0∫01−ϵdulnu+∫1+ϵxdulnu, and the prime counting function π(x)=∑p≤x1. From several recently developed known effective bounds on the prime counting function of the general form |π(x)−Li(x)|
Matt Visser
doaj   +1 more source

New consequences of prime-counting function

Notes on Number Theory and Discrete Mathematics, 2021
Our objective in this paper is to study a particular set of prime numbers, namely \ left \ {p \ in \ mathbb {P} \ \ text {and} \ \ pi (p) \ notin \ mathbb {P} \ right \} \ !.As a consequence, estimations of the form \ sum {f (p)}with p being prime belonging to this set are derived.
openaire   +1 more source

DNA ligase LigE increases bacterial transformation with damaged extracellular DNA

FEBS Letters, EarlyView.
The DNA ligase LigE from the naturally competent Gram‐negative bacterium Neisseria gonorrhoaea increases transformation with cut extracellular DNA. This process is ATP‐dependent and relies on the catalytic activity of LigE; it also requires that LigE contains an intact periplasmic localisation sequence, indicating that ligE functions in the periplasm ...
Jolyn Pan, Avi Singh, Shrawani Weralupe Gamladdalage, Joanna Hicks, Adele Williamson   +4 more
wiley   +1 more source

Soft motions encoded by the fold and mediated by conserved hinge sites drive V‐ATPase allosteric machinery and autoinhibition

FEBS Letters, EarlyView.
Vacuolar H+‐ATPase (V‐ATPase) is a multisubunit rotary proton pump that acidifies intracellular compartments. Using elastic network models, we identified conserved hinge residues that govern its large‐scale functional motions. We show that intrinsically encoded ‘soft modes’ drive critical functional transitions, including rotary catalysis and ...
Diksha Parwana, Xiaowei Bogetti, Stuti Sharma, Ivet Bahar   +3 more
wiley   +1 more source

Some General Theorems About a Class of Sets of Numbers

Annales Mathematicae Silesianae
We prove a theorem which unifies some formulas, for example the counting function, of some sets of numbers including all positive integers, h-free numbers, h-full numbers, etc.
Jakimczuk Rafael
doaj   +1 more source

Inequalities For The Primes Counting Function

, 2018
The prime counting function inequality $π(x+y) < π(x)+π(y)$, which is known as Hardy-Littlewood conjecture, has been established for a variety of cases such as $ δx \leq y \leq x$, where $0< δ\leq 1$, and $x \leq y\leq x \log x \log \log x$ as $ x \to \infty$.
openaire   +2 more sources

Developmental programmes drive cellular plasticity, disease progression and therapy resistance in lung adenocarcinoma

Molecular Oncology, EarlyView.
This study shows that lung adenocarcinomas exploit developmental branching morphogenesis to acquire a therapy resistant basal‐like tumour cell state. This process was found to be regulated by combined TP53 loss‐of‐function and type‐I interferon signalling, identifying a novel axis for biomarker and therapeutic target discovery.
Kamila J Bienkowska, Stephany Gallardo, Nur S. Zainal, Leena Arora, Matthew Ellis, Maria‐Antoinette Lopez, Judith Austine, Sai Pittla, Serena J Chee, Aiman Alzetani, Emily C Shaw, Christian H Ottensmeier, Gareth J Thomas, Christopher J Hanley   +13 more
wiley   +1 more source

False Chebyshev Primes: Prime-Phase Non-Equidistribution and a Weighted Local-Time Law

Axioms
Let ψ be the Chebyshev prime-counting function and π(x) the number of primes up to x. The Chebyshev-prime condition K(p)=li(ψ(p))−li(ψ(p−1))0. We prove that its leading threshold is the midpoint correction ψ(p)−p>12logp, with an explicit higher-order ...
Michel Planat
doaj   +1 more source