Results 51 to 60 of about 478 (248)
New Type of Sturm-Liouville Problems in Associated Hilbert Spaces
Journal of Function Spaces, 2014 We introduce a new type of discontinuous Sturm-Liouville problems, involving an abstract linear operator in equation. By suggesting own approaches we define some new Hilbert spaces to establish such properties as isomorphism, coerciveness, and maximal ...
O. Sh. Mukhtarov, K. Aydemir
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Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions
FEBS Letters, EarlyView.We show that Arg‐rich peptides selectively unfold RNA G‐quadruplexes, but not RNA stem‐loops or DNA/RNA duplexes. This length‐dependent activity is inhibited by acidic residues and is conserved among SR and SR‐related proteins (SRSF1, SRSF3, SRSF9, U1‐70K, and U2AF1).
Naiduwadura Ivon Upekala De Silva +10 more
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Hill's equation for a homogeneous tree
Electronic Journal of Differential Equations, 1997 The analysis of Hill's operator $-D^2 + q(x)$ for $q$ even and periodic is extended from the real line to homogeneous trees ${cal T}$. Generalizing the classical problem, a detailed analysis of Hill's equation and its related operator theory on $L^2({cal
Robert Carlson
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FEBS Letters, EarlyView.The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
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A Note on Property (gb) and Perturbations
Abstract and Applied Analysis, 2012 An operator T∈ℬ(X) defined on a Banach space X satisfies property (gb) if the complement in the approximate point spectrum σa(T) of the upper semi-B-Weyl spectrum σSBF+-(T) coincides with the set Π(T) of all poles of the resolvent of T. In this paper, we
Qingping Zeng, Huaijie Zhong
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Қарағанды университетінің хабаршысы. Математика сериясы, 2019 The Schrödinger operator L = -∆ + q ( x ) , x ∈ Rn, is one of the main operators of modern quantum mechanics and theoretical physics. It is known that many fundamental results have been obtained for the Schrödinger operator L .
M.B. Muratbekov, M.M. Muratbekov
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β‐TrCP overexpression enhances cisplatin sensitivity by depleting BRCA1
Molecular Oncology, EarlyView.Low levels of β‐TrCP (Panel A) allow the accumulation of BRCA1 and CtIP, which facilitate the repair of cisplatin‐induced DNA damage via homologous recombination (HR) and promote tumor cell survival. In contrast, high β‐TrCP expression (Panel B) leads to BRCA1 and CtIP degradation, impairing HR repair, resulting in persistent DNA damage and apoptosis ...
Rocío Jiménez‐Guerrero +8 more
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Molecular Oncology, EarlyView.AZD9291 has shown promise in targeted cancer therapy but is limited by resistance. In this study, we employed metabolic labeling and LC–MS/MS to profile time‐resolved nascent protein perturbations, allowing dynamic tracking of drug‐responsive proteins. We demonstrated that increased NNMT expression is associated with drug resistance, highlighting NNMT ...
Zhanwu Hou +5 more
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Spectral Distribution of Transport Operator Arising in Growing Cell Populations
Journal of Function Spaces, 2014 Transport equation with partly smooth boundary conditions arising in growing cell populations is studied in Lp ...
Hongxing Wu, Shenghua Wang, Dengbin Yuan
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Bruno Pini Mathematical Analysis Seminar, 2015 In this article, we show that under some coercive assumption on the complex-valued potential V(x), the derivatives of the resolvent of the non-selfadjoint Schröinger operator H = −∆ + V(x) satisfy some Gevrey estimates at the threshold zero.
Xue Ping Wang
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