Results 41 to 50 of about 326 (216)
Generating nonisospectral integrable hierarchies via a new scheme
Advances in Difference Equations, 2020 In the paper, an efficient and straightforward method for generating nonisospectral integrable hierarchies is introduced. It follows that we consider the application related to Lie algebra gl ( 3 ) $\operatorname{gl}(3)$ based on the method.
Haifeng Wang, Yufeng Zhang
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FEBS Letters, EarlyView.We identified a systemic, progressive loss of protein S‐glutathionylation—detected by nonreducing western blotting—alongside dysregulation of glutathione‐cycle enzymes in both neuronal and peripheral tissues of Taiwanese SMA mice. These alterations were partially rescued by SMN antisense oligonucleotide therapy, revealing persistent redox imbalance as ...
Sofia Vrettou, Brunhilde Wirth
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Similarity Transformations and Nonlocal Reduced Integrable Nonlinear Schrödinger Type Equations
Mathematics, 2023 We present three reduced integrable hierarchies of nonlocal integrable nonlinear Schrödinger-type equations, starting from a given vector integrable hierarchy generated from a matrix Lie algebra of B type. The basic tool is the zero curvature formulation.
Li Cheng, Wen-Xiu Ma
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The ubiquitin‐proteasome system and autophagy as guardians of the cellular proteome
FEBS Letters, EarlyView.This Perspective covers the three principles governing the crosstalk between the ubiquitin‐proteasome system and autophagy in cellular proteostasis: (1) a shared ubiquitin code routing substrates via shuttle factors or autophagy receptors; (2) spatial compartmentalization into phase‐separated degradation hubs and organelle‐specific modules (exemplified
Ivan Dikic
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Bi-Integrable and Tri-Integrable Couplings of a Soliton Hierarchy Associated with SO(3)
Advances in Mathematical Physics, 2017 Based on the three-dimensional real special orthogonal Lie algebra SO(3), by zero curvature equation, we present bi-integrable and tri-integrable couplings associated with SO(3) for a hierarchy from the enlarged matrix spectral problems and the enlarged ...
Jian Zhang, Chiping Zhang, Yunan Cui
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Generalized W-algebras and integrable hierarchies [PDF]
Physics Letters B, 1992 9 ...
Burroughs, N. +3 more
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Subtype‐specific enhancer RNAs define transcriptional regulators and prognosis in breast cancers
Molecular Oncology, EarlyView.This study employed machine learning methodologies to perform the subtype‐specific classification of RNA‐seq data sets, which are mapped on enhancers from TCGA‐derived breast cancer patients. Their integration with gene expression (referred to as ProxCReAM eRNAs) and chromatin accessibility profiles has the potential to identify lineage‐specific and ...
Aamena Y. Patel +6 more
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Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
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The Semidirect Sum of Lie Algebras and Its Applications to C-KdV Hierarchy
Abstract and Applied Analysis, 2014 By use of the loop algebra G-~, integrable coupling of C-KdV hierarchy and its bi-Hamiltonian structures are obtained by Tu scheme and the quadratic-form identity.
Xia Dong, Tiecheng Xia, Desheng Li
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Manifestly supersymmetric Lax integrable hierarchies [PDF]
Physics Letters B, 1997 A systematic method of constructing manifestly supersymmetric $1+1$-dimensional KP Lax hierarchies is presented. Closed expressions for the Lax operators in terms of superfield eigenfunctions are obtained. All hierarchy equations being eigenfunction equations are shown to be automatically invariant under the (extended) supersymmetry. The supersymmetric
Aratyn, H., Rasinariu, C.
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