Results 51 to 60 of about 1,141,676 (232)
Spectral Bounds for the Torsion Function [PDF]
Let $ $ be an open set in Euclidean space $\R^m,\, m=2,3,...$, and let $v_ $ denote the torsion function for $ $. It is known that $v_ $ is bounded if and only if the bottom of the spectrum of the Dirichlet Laplacian acting in $\Leb^2( )$, denoted by $ ( )$, is bounded away from $0$. It is shown that the previously obtained bound $\|v_ \|_{\Leb^
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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
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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
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On concentration of self-bounding functions
We prove some new concentration inequalities for self-bounding functions using the entropy method. As an application, we recover Talagrand's convex distance inequality. The new Bernstein-like inequalities for self-bounding functions are derived thanks to a careful analysis of the so-called Herbst argument. The latter involves comparison results between
Boucheron, Stephane+2 more
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CircCCNB1 expression is down‐regulated in nasopharyngeal carcinoma (NPC); thus, less NF90 protein is bound to circCCNB1 and more binds to pri‐miRNAs, blocking their (pri‐miRNAs) binding to DGCR8 and inhibiting the processing and generation of miR‐15b‐5p/miR‐7‐1‐3p. Furthermore, decreased miR‐15b‐5p/miR‐7‐1‐3p promotes the expression of the target genes
Chunmei Fan+6 more
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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
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Bounds for functions of multivariate risks
Li et al. [Distributions with Fixed Marginals and Related Topics, vol. 28, Institute of Mathematics and Statistics, Hayward, CA, 1996, pp. 198-212] provide bounds on the distribution and on the tail for functions of dependent random vectors having fixed multivariate marginals.
P. Embrechts, G. Puccetti
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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
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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
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Lower bound functions for polynomials
AbstractRelaxation techniques for solving nonlinear systems and global optimisation problems require bounding from below the nonconvexities that occur in the constraints or in the objective function by affine or convex functions. In this paper we consider such lower bound functions in the case of problems involving multivariate polynomials.
Garloff, Jürgen+2 more
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