Approximation process of a positive linear operator of hypergeometric type
In this article, we construct a new sequence of positive linear operators Hn:B[0,1]→C[0,1]{H}_{n}:B{[}0,1]\to C{[}0,1] using the hypergeometric distribution of probability theory and the rational values of f at the equally spaced control points k∕nk/n
Karsli Harun
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On estimates for norms of matrix operators: the case q Қарағанды университетінің хабаршысы. Математика сериясы
The study of matrix operators acting between weighted sequence spaces lp,v and lq,u has become an important direction in functional analysis, particularly due to its close connection with Hardy-type inequalities and the general theory of linear ...
K.D. Kuliev +2 more
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Consistency of the standard model effective field theory
We derive bounds on couplings in the standard model effective field theory (SMEFT) as a consequence of causality and the analytic structure of scattering amplitudes.
Grant N. Remmen, Nicholas L. Rodd
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Etoposide induces DNA damage, activating p53‐dependent apoptosis via caspase‐3/7, which cleaves PARP1. Dammarenediol II enhances this apoptotic pathway by suppressing O‐GlcNAc transferase activity, further decreasing O‐GlcNAcylation. The reduction in O‐GlcNAc levels boosts p53‐driven apoptosis and influences the Akt/GSK3β/mTOR signaling pathway ...
Jaehoon Lee +8 more
wiley +1 more source
Non-backtracking walks reveal compartments in sparse chromatin interaction networks
Chromatin communities stabilized by protein machinery play essential role in gene regulation and refine global polymeric folding of the chromatin fiber. However, treatment of these communities in the framework of the classical network theory (stochastic ...
K. Polovnikov +4 more
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Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
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Energy-Momentum tensor correlators in ϕ4 theory I: The spin-zero sector
We revisit the construction of the renormalized trace Θ of the Energy-Momentum tensor in the four-dimensional λϕ4 theory, using dimensional regularization in d=4−ε dimensions.
Nikos Irges, Leonidas Karageorgos
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RIPK4 function interferes with melanoma cell adhesion and metastasis
RIPK4 promotes melanoma growth and spread. RIPK4 levels increase as skin lesions progress to melanoma. CRISPR/Cas9‐mediated deletion of RIPK4 causes melanoma cells to form less compact spheroids, reduces their migratory and invasive abilities and limits tumour growth and dissemination in mouse models.
Norbert Wronski +9 more
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Clinical analysis reveals significant dysregulation of FGFRL1 in esophageal cancer (EC) patients. RNAi‐coupled next‐generation sequencing (NGS) and in vitro study reveal FGFRL1‐mediated EC progression via EMT, PI3K/Akt, and Notch pathways. Functional assays confirm its role in tumor growth, migration, and invasion.
Aprajita Srivastava +3 more
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Asymptotic model of linearly visco-elastic Kelvin–Voigt type plates via Trotter theory
We confirm the study (Licht in C. R., Méc. 341:697–700, 2013) devoted to the quasi-static response for a visco-elastic Kelvin–Voigt plate whose thickness goes to zero.
Yotsawat Terapabkajornded +2 more
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