Results 71 to 80 of about 216,097 (247)
Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes +4 more
wiley +1 more source
On Prime Ideals in Rings Satisfying Certain Functional Identities
In this note, we will examine the relationship between a generalized derivation ϝ associated with a derivation ∂ that satisfies specific algebraic identities and the behavior of a factor ring S/P, where P is a prime ideal of any ring S.
Kholood Alnefaie, Radwan M. Al-omary
doaj +1 more source
The median largest prime factor
Let $M(x)$ denote the median largest prime factor of the integers in the interval $[1,x]$. We prove that $$M(x)=x^{\frac{1}{\sqrt{e}}\exp(-\text{li}_{f}(x)/x)}+O_ε(x^{\frac{1}{\sqrt{e}}}e^{-c(\log x)^{3/5-ε}})$$ where $\text{li}_{f}(x)=\int_{2}^{x}\frac{\{x/t\}}{\log t}dt$. From this, we obtain the asymptotic $$M(x)=e^{\frac{γ-1}{\sqrt{e}}}x^{\frac{1}{\
openaire +3 more sources
Tau acetylation at K331 has limited impact on tau pathology in vivo
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto +3 more
wiley +1 more source
Influence of temperature perturbation on moisture dynamics
We analyzed the perturbation effect of temperature on the moisture content in the atmosphere [ 1 ], considering the saturation phenomenon. The air parcels of a saturated atmosphere are made of dry air, vapor, cloud, and rain water that flow on a rotating
Admasu Abawari, Yitagesu Elfaged
doaj +1 more source
Factor Rings with Algebraic Identities via Generalized Derivations
The current article focuses on studying the behavior of a ring ℜ/Π when ℜ admits generalized derivations Ψ and Ω with associated derivations ϕ and δ, respectively. These derivations satisfy specific differential identities involving Π, where Π is a prime
Ali Yahya Hummdi +2 more
doaj +1 more source
Calpain small subunit homodimerization is robust and calcium‐independent
Calpains dimerize via penta‐EF‐hand (PEF) domains. Using single‐molecule force spectroscopy, we measured the strength and kinetics of PEF–PEF homodimer binding. The interaction is robust, shows a transient conformational step before dissociation, and remains largely insensitive to Ca2+.
Nesha May O. Andoy +4 more
wiley +1 more source
Within the conceptual framework of number theory, we consider prime numbers and the classic still unsolved problem to find a complete law of their distribution.
Gianfranco Minati
doaj +1 more source
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
Square-difference factor absorbing submodules of modules over commutative rings
Let R be a commutative ring with identity and M an unitary R-module. Recently, in [5], Anderson, Badawi and Coykendalla defined a proper ideal I of R to be a square-difference factor absorbing ideal (sdf-absorbing ideal) of R if whenever a2 − b2 ∈ I for ...
Khashan Hani A., Celikel Ece Yetkin
doaj +1 more source

