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Decomposition of Functions of Bounded Variation [PDF]
Cramer's theorem, that a normal distribution function $(\operatorname{df})$ has only normal components, is extended to a case where the components are allowed to be from a subclass $(B_1)$ of the functions of bounded variation other than the class of df's.
openaire +2 more sources
MET variants in the N‐lobe of the kinase domain, found in hereditary papillary renal cell carcinoma, require ligand stimulation to promote cell transformation, in contrast to other RTK variants. This suggests that HGF expression in the microenvironment is important for tumor growth in such patients. Their sensitivity to MET inhibitors opens the way for
Célia Guérin+14 more
wiley +1 more source
NAD+ regeneration by mitochondrial complex I NADH dehydrogenase is important for cancer cell proliferation. Specifically, NAD+ is necessary for the activities of NAD+‐dependent deacetylases SIRT3 and SIRT7, which suppress the expression of p21Cip1 cyclin‐dependent kinase inhibitor, an antiproliferative molecule, at the translational and transcriptional
Masato Higurashi+5 more
wiley +1 more source
Classification of acute myeloid leukemia based on multi‐omics and prognosis prediction value
The Unsupervised AML Multi‐Omics Classification System (UAMOCS) integrates genomic, methylation, and transcriptomic data to categorize AML patients into three subtypes (UAMOCS1‐3). This classification reveals clinical relevance, highlighting immune and chromosomal characteristics, prognosis, and therapeutic vulnerabilities.
Yang Song+13 more
wiley +1 more source
Presurgery 72‐h fasting in GB patients leads to adaptations of plasma lipids and polar metabolites. Fasting reduces lysophosphatidylcholines and increases free fatty acids, shifts triglycerides toward long‐chain TGs and increases branched‐chain amino acids, alpha aminobutyric acid, and uric acid.
Iris Divé+7 more
wiley +1 more source
Resolvent bounds and spectral variation
AbstractA new spectral variation bound is given for linear operators acting on normed linear spaces. This bound is derived using the Cayley-Hamilton theorem and Chebychev polynomials.
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Transcriptome‐wide analysis of circRNA and RBP profiles and their molecular relevance for GBM
CircRNAs are differentially expressed in glioblastoma primary tumors and might serve as therapeutic targets and diagnostic markers. The investigation of circRNA and RNA‐binding proteins (RBPs) interactions shows that distinct RBPs play a role in circRNA biogenesis and function.
Julia Latowska‐Łysiak+14 more
wiley +1 more source
Rough differential equations containing path-dependent bounded variation terms
We consider rough differential equations whose coefficients contain path-dependent bounded variation terms and prove the existence and a priori estimate of solutions.
Aida, Shigeki
core +1 more source
Elevated level of cholesterol is positively correlated to prostate cancer development and disease severity. Cholesterol‐lowering drugs, such as statins, are demonstrated to inhibit prostate cancer. VNPP433‐3β interrupts multiple signaling and metabolic pathways, including cholesterol biosynthesis, AR‐mediated transcription of several oncogenes, mRNA 5′
Retheesh S. Thankan+10 more
wiley +1 more source
Combining melting curve analysis enhances the multiplexing capability of digital PCR. Here, we developed a 14‐plex assay to simultaneously measure single nucleotide mutations and amplifications of KRAS and GNAS, which are common driver genes in pancreatic cancer precursors. This assay accurately quantified variant allele frequencies in clinical samples
Junko Tanaka+10 more
wiley +1 more source