Results 111 to 120 of about 542,394 (229)
On the largest prime factors of shifted semiprime numbers
A natural number $n$ is called semi-prime if it is a product of two primes or a square of a prime. We denote $\mathbb{P}_2$ the set of all semi-primes. Our goal is to prove that for fixed integer number $a$ and sufficiently large $x$ the largest prime factor of number $$ \prod_{\substack{n\in \mathbb{P}_2\\n\leq x}}(n+a) $$ exceeds $x^θ$, where $θ= 0.5-
openaire +2 more sources
Interrogating the immune landscape of microsatellite stable RAS‐mutated colon cancer
COLOSSUS project RAS‐mutated MSS colon cancer study explored transcriptomics and immune cell density by immunohistochemistry (IHC), Immunoscore (IS), ISIC/TuLIS scores, mutation counts, and detected different prevalences but similar microenvironment composition across immune markers with clinical relevance for future immunotherapy combination ...
Rodrigo Dienstmann +61 more
wiley +1 more source
Pancreatic sensory neurons innervating healthy and PDAC tissue were retrogradely labeled and profiled by single‐cell RNA sequencing. Tumor‐associated innervation showed a dominant neurofilament‐positive subtype, altered mitochondrial gene signatures, and reduced non‐peptidergic neurons.
Elena Genova +14 more
wiley +1 more source
E2A selectively regulates TGF‐β–induced apoptosis in KRAS‐mutant non‐small cell lung cancer
Ability to induce apoptosis by TGF‐β is frequently lost in advanced lung adenocarcinoma despite intact TGF‐β signaling. We identify E2A as a mutant KRAS–dependent mediator of resistance to TGF‐β–induced apoptosis. TGF‐β induces E2A via SMAD3 in mutant KRAS cells, and E2A silencing restores apoptosis and enhances radiation response in cell lines ...
Sergei Chuikov +3 more
wiley +1 more source
The largest prime factor of $n^{2}+1$ and improvements on subexponential $ABC$
We combine transcendental methods and the modular approaches to the $ABC$ conjecture to show that the largest prime factor of $n^2+1$ is at least of size $(\log_2 n)^2/\log_3n$ where $\log_k$ is the $k$-th iterate of the logarithm. This gives a substantial improvement on the best available estimates, which are essentially of size $\log_2 n$ going back ...
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DDX3X induces mesenchymal transition of endothelial cells by disrupting BMPR2 signaling
Elevated DDX3X expression led to downregulation of BMPR2, a key regulator of endothelial homeostasis and function. Our co‐immunoprecipitation assays further demonstrated a molecular interaction between DDX3X and BMPR2. Notably, DDX3X promoted lysosomal degradation of BMPR2, thereby impairing its downstream signaling and facilitating endothelial‐to ...
Yu Zhang +7 more
wiley +1 more source
On the largest prime factor of integers in short intervals II
The author sharpens a result of Baker and Harman (2009), showing that for sufficiently large $x$, the interval $[x, x+x^{\frac{1}{2}}]$ contains an integer with a prime factor larger than $x^{0.7437}$. Optimized bounds for multiple exponential sums and accurate numerical calculations are used for this improvement.
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Pathogenic Neurofibromatosis type 1 gene variants in tumors of non‐NF1 patients and role of R1276
Somatic variants of the neurofibromatosis type 1 (NF1) gene occur across neoplasms without clinical manifestation of the disease NF1. We identified emerging somatic pathogenic NF1 variants and hotspots, for example, at the arginine finger 1276. Those missense variants provide fundamental information about neurofibromin's role in cancer.
Mareike Selig +7 more
wiley +1 more source
ATP13A2 is involved in intracellular polyamine transport in lung epithelial cells
Spermidine transport in lung epithelial cells involves the polyamine transporter ATP13A2. Cell proliferation is associated with the upregulation of ATP13A2. Polyamines are present in all living cells and are implicated in various crucial cellular processes such as proliferation, apoptosis and autophagy.
Yuta Hatori +8 more
wiley +1 more source
<i>P</i>-adic <i>L</i>-functions for GL ( 3 ). [PDF]
Loeffler D, Williams C.
europepmc +1 more source

