Results 101 to 110 of about 5,990,152 (267)
TisIBP8, a fungal‐derived hyperactive ice‐binding protein, helps Caenorhabditis elegans survive dehydration. It localizes near cell membranes, reduces cell damage, and helps maintain membrane structure during drying. These results suggest that ice‐binding proteins can protect cells from dehydration stress as well as freezing stress.
Daiki Shimose +9 more
wiley +1 more source
The Error Term In The Primes Counting Function
This article considers the error term of the primes counting function. It applies some recent results on the densities of prime numbers in short intervals to derive an improvement of the error term from subexponential size to fractional exponential size.
openaire +2 more sources
Molecular characterization of covRS mutations in M1UK Streptococcus pyogenes
Group A Streptococcus (GAS) acquires covRS mutations driving a hypervirulent bacterial state, frequently associated with invasive disease‐like necrotizing fasciitis. We demonstrate that the newly emerged M1UK GAS lineage can also acquire these mutations.
Jarrad Pritchard +12 more
wiley +1 more source
A (doubly) elementary formula for prime numbers
International audienceIn this paper the author gives formulas for the prime counting function and for the n-th prime numbers. These formulas only use elementary functions.
Saouter, Yannick
core +1 more source
Hyperosmotic stress triggers the relocation of the CFIm complex from the nucleus to the cytoplasm. This shift creates a nuclear ‘stoichiometric bottleneck’, limiting CFIm availability for mRNA processing. Consequently, specific mRNAs like NUDT21 and DICER1 undergo targeted 3′UTR shortening, demonstrating how spatial protein dynamics drive rapid ...
Hitomi Soumiya +2 more
wiley +1 more source
Loss of AMBRA1 activates MAPK and angiogenesis signaling pathways in melanoma cells
Loss of AMBRA1 in melanoma cells activates multiple oncogenic pathways associated with tumor progression. Transcriptomic and protein network analyses revealed that AMBRA1 depletion enhances MAPK/ERK signaling, angiogenesis, TGF‐β/EMT signaling, and Wnt/axon guidance pathways.
Milad Ibrahim +4 more
wiley +1 more source
An Exact Formula for the Prime Counting Function
This paper discusses a few main topics in Number Theory, such as the Möbius function and its generalization, leading up to the derivation of neat power series for the prime counting function, $π(x)$, and the prime-power counting function, $J(x)$. Among its main findings, we can cite the extremely useful inversion formula for Dirichlet series (given ...
openaire +2 more sources
IGFBP4 knockdown (KD) impairs preadipocyte proliferation and is associated with IGF1R protein downregulation and attenuated AKT phosphorylation. The mechanisms by which IGFBP4 KD influences the IGF1R/AKT signaling pathway involve newly synthesized proteins and lysosomal degradation pathways. Created in BioRender.
Yujia Guo +6 more
wiley +1 more source
The Prime Number Theorem and Primorial Numbers
Counting the number of prime numbers up to a certain natural number and describing the asymptotic behavior of such a counting function has been studied by famous mathematicians like Gauss, Legendre, Dirichlet, and Euler.
Gomez, Jonatan
core
Riemann's Zeta Function and Prime Numbers : an approximation using von Mangoldt's explicit formula
This essay aims to explain the connection between Riemann's zeta function and prime numbers. It relies heavily on Riemann's 1859 manuscript, in which he approximates the prime-counting function using the non-trivial zeros of the zeta function.
Jakobsson, Jesper
core +1 more source

