Results 91 to 100 of about 406,461 (313)
On matrices associated to prime factorization of odd integers
In this paper we introduce in section 5 integral matrices M(n) for any factorization of an odd integer n into r distinct odd primes. The matrices appear in several versions according to a parameter ρ∈[0,1], they have size 2r×2r and their rank satisfies e.
T. Bier
doaj +1 more source
Cooperativity Beyond Caging: Generalized Mode Coupling Theory
The validity of mode coupling theory (MCT) is restricted by an uncontrolled factorization approximation of density correlations. The factorization can be delayed and ultimately avoided, however, by explicitly including higher order correlations.
David R. Reichman+5 more
core +1 more source
Evolutionary interplay between viruses and R‐loops
Viruses interact with specialized nucleic acid structures called R‐loops to influence host transcription, epigenetic states, latency, and immune evasion. This Perspective examines the roles of R‐loops in viral replication, integration, and silencing, and how viruses co‐opt or avoid these structures.
Zsolt Karányi+4 more
wiley +1 more source
Integer Factorization – Cryptology Meets Number Theory
Integer factorization is one of the oldest mathematical problems. Initially, the interest in factorization was motivated by curiosity about behaviour of prime numbers, which are the basic building blocks of all other integers.
Josef Pieprzyk
doaj +1 more source
Disruption of SETD3‐mediated histidine‐73 methylation by the BWCFF‐associated β‐actin G74S mutation
The β‐actin G74S mutation causes altered interaction of actin with SETD3, reducing histidine‐73 methylation efficiency and forming two distinct actin variants. The variable ratio of these variants across cell types and developmental stages contributes to tissue‐specific phenotypical changes. This imbalance may impair actin dynamics and mechanosensitive
Anja Marquardt+8 more
wiley +1 more source
Matrices coming from elliptic Partial Differential Equations have been shown to have a low-rank property that can be efficiently exploited in multifrontal solvers to provide a substantial reduction of their complexity. Among the possible low-rank formats,
P. Amestoy+3 more
semanticscholar +1 more source
Purification tags markedly affect self‐aggregation of CPEB3
Although recombinant proteins are used to study protein aggregation in vitro, uncleaved tags can interfere with accurate interpretation. Our findings demonstrate that His₆‐GFP and His₁₂ tags significantly affect liquid droplet and amyloid fibril formation in the intrinsically disordered region (IDR) of mouse cytoplasmic polyadenylation element‐binding ...
Harunobu Saito+6 more
wiley +1 more source
Circulating histones as clinical biomarkers in critically ill conditions
Circulating histones are emerging as promising biomarkers in critical illness due to their diagnostic, prognostic, and therapeutic potential. Detection methods such as ELISA and mass spectrometry provide reliable approaches for quantifying histone levels in plasma samples.
José Luis García‐Gimenez+17 more
wiley +1 more source
This study reveals how prime editing guide RNA (pegRNA) secondary structure and reverse transcriptase template length affect prime editing efficiency in correcting the phospholamban R14del cardiomyopathy‐associated mutation. Insights support the design of structurally optimized enhanced pegRNAs for precise gene therapy.
Bing Yao+7 more
wiley +1 more source
This is an erratum to math.AG/9803126, Tohoku 51 (1999) 489-537. This erratum describes: 1. the failure of the algorithm in [AMR] and [Morelli1] for the strong factorization pointed out by Kalle Karu, 2.
Matsuki, Kenji
core