Results 41 to 50 of about 5,990,152 (267)
Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source
Improving Riemann prime counting
International audiencePrime number theorem asserts that (at large x) the prime counting function π(x) is approximately the logarithmic integral li(x). In the intermediate range, Riemann prime counting function Ri(N)(x)=∑Nn=1μ(n)nLi(x1/n) deviates from π ...
Solé, Patrick, Planat, Michel
core +4 more sources
We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
wiley +1 more source
A recurrence formula for prime numbers using the Smarandache or Totient functions [PDF]
In this paper we report a recurrence formula to obtain the n-th prime in terms of (n-l)th prime and as a function of Smarandache or Totient ...
Russo, Felice
core +1 more source
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
wiley +1 more source
Composite positive integers whose sum of prime factors is prime [PDF]
summary:In this note, we show that the counting function of the number of composite positive integers $n\le x$ such that $\beta (n)=\sum _{p\mid n} p$ is a prime is of order of magnitude at least $x/(\log x)^3$ and at most $x/ \log x$
Moodley, Damon +5 more
core +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
wiley +1 more source
Let π(x) denote the prime counting function and let li(x) denote the logarithmic integral. We prove that π(x) − li(x) = O( x log x). The novelty of our approach lies in usingnew relations between π(x) and the double sum of reciprocals of primes.
David Stacha (5985692)
core +1 more source
ℓ-generalized prime factors counting functions
To study the number of extra prime factors beyond the first ℓ − 1 occurrences of a prime p in the factorization of an integer n, this paper introduces the ℓ-generalized prime factors counting arithmetic function ΩA,ℓ.
Gaber Ahmed
doaj +1 more source
Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
wiley +1 more source

