Results 111 to 120 of about 37,179 (267)
On properties of the numbers coprime with the primes up to p_n
In this paper we investigate about the effective distribution of the numbers coprime with the primes up to p_n . More precisely we prove that these numbers form a periodically monotone sequence . Then we examine some properties of this sequence which, in
Giovanni Fiorito
doaj
Efficient organic pollutant mineralization via PMS-sonophotocatalysis with doped-ZnO-CNT aerogels
This study investigates some characteristics of multi-walled carbon nanotube (MWCNT)-integrated zinc oxide (ZnO)-based aerogels doped with aluminum (A4ZO), gallium (G5ZO), and indium (I1ZO).
Queralt Bautista +4 more
doaj +1 more source
Intratumour heterogeneity complicates precision management of advanced endometrial cancer. Circulating tumor DNA (ctDNA) offers a minimally invasive strategy to capture tumor evolution and therapeutic resistance. Here, we compare tumor‐agnostic NGS with tumor‐informed ddPCR, outlining their relative sensitivity, concordance, and clinical implications ...
Carlos Casas‐Arozamena +15 more
wiley +1 more source
Here, we demonstrate that HS1BP3 interacts with Cortactin through a proline‐rich region (PRR3.1) and show that this interaction, and HS1BP3 itself, promote cancer cell proliferation and invasion. Inhibition of this interaction leads to build‐up of TKS5 in multivesicular endosomes and altered secretion of CD63 and CD9, providing an explanation for the ...
Arja Arnesen Løchen +9 more
wiley +1 more source
The author finds special primes for the two quartics arising from the cyclotomy of Kloosterman sums (for \(e=8)\) studied by \textit{D. H. Lehmer} and the author [Acta Arith. 12, 385-407 (1967; Zbl 0149.286); ibid. 14, 89-111 (1968; Zbl 0192.394)]; a special prime q being a prime which divides the discriminant of a general period polynomial of degree e
openaire +3 more sources
Interpreting the effects of DNA polymerase variants at the structural level
Using MAVISp and molecular dynamics simulations, we analyzed over 60 000 missense variants in POLE and POLD1 from ClinVar, COSMIC, cBioPortal, and saturation mutagenesis. Identified mechanistic indicators, including stability, binding, and long‐range, enable structural interpretation, providing ACMG‐like evidence for possible reclassification of VUS ...
Matteo Arnaudi +7 more
wiley +1 more source
Almost Primes of Almost Prime Index
Summary: A positive integer is called a \(k\)-\textit{almost prime} if it is a product of \(k\) prime numbers, counted with repetition. In this paper we consider \(j\)-almost primes of \(k\)-almost prime index for given integers \(j, k \geq 0\). We establish asymptotic estimates for the counting functions, \(n\)th occurrences, and reciprocal sums of ...
Kinlaw, Paul +2 more
openaire +3 more sources
A urine‐based digital PCR assay targeting two hotspot TERT promoter variants detected bladder cancer with high sensitivity and no false positives in this case–control cohort. The streamlined AbsoluteQ workflow outperformed Sanger sequencing and supports non‐invasive molecular testing for bladder cancer detection.
Anna Nykel +12 more
wiley +1 more source
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 +13 more
wiley +1 more source
Loss of IGF‐1R impairs DNA‐PKcs recruitment to chromatin leading to defective end‐joining
IGF‐1R promotes radioresistance by facilitating DNA‐PKcs recruitment to chromatin, enabling non‐homologous end‐joining (NHEJ) repair of double‐strand breaks. Inhibition or loss of IGF‐1R disrupts this recruitment to damage sites, driving compensatory reliance on microhomology‐mediated end‐joining (MMEJ) repair.
Matthew O. Ellis +3 more
wiley +1 more source

