Results 61 to 70 of about 661 (265)
Formal Diagonalisation of Lax-Darboux Schemes
Моделирование и анализ информационных систем, 2015 We discuss the concept of Lax-Darboux scheme and illustrate it on well known examples associated with the Nonlinear Schro¨dinger (NLS) equation. We explore the Darboux links of the NLS hierarchy with the hierarchy of Heisenberg model, principal chiral ...
A. V. Mikhailov
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A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation [PDF]
Opuscula Mathematica, 2013 An approach based on the spectral and Lie-algebraic techniques for constructing vertex operator representation for solutions to a Riemann type hydrodynamical hierarchy is devised. A functional representation generating an infinite hierarchy of dispersive
Yarema A. Prykarpatsky +3 more
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$\mathcal D$-bundles and integrable hierarchies
Journal of the European Mathematical Society, 2011 We study the geometry of \mathcal D - bundles —locally projective \mathcal D -modules—on algebraic curves, and apply them to ...
David Ben-Zvi, Thomas Nevins
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FEBS Open Bio, EarlyView.Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei +3 more
wiley +1 more source
Nonassociativity and Integrable Hierarchies
, 2005 Let A be a nonassociative algebra such that the associator (A,A^2,A) vanishes. If A is freely generated by an element f, there are commuting derivations delta_n, n=1,2,..., such that delta_n(f) is a nonlinear homogeneous polynomial in f of degree n+1. We prove that the expressions delta_{n_1} ...
Dimakis, Aristophanes +1 more
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FEBS Open Bio, EarlyView.Early‐life exposure to a high‐fat diet altered intact Achilles tendons in rat offspring, making them thinner, stiffer, and molecularly distinct even without injury. These findings suggest that developmental high‐fat diet exposure may impair tendon quality and increase susceptibility to mechanical overload or tendon injury later in life.
Heyong Yin +3 more
wiley +1 more source
FEBS Open Bio, EarlyView.UiO‐66(Zr) metal–organic frameworks are chemically stable, biocompatible, and highly tunable nanomaterials. Their modular structure enables controlled drug delivery, multimodal bioimaging, and light‐activated photodynamic therapy, supporting integrated diagnostic and therapeutic (theranostic) applications in cancer and biomedical research.
Veronika Huntošová +2 more
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Two Expanding Integrable Models of the Geng-Cao Hierarchy
Abstract and Applied Analysis, 2014 As far as linear integrable couplings are concerned, one has obtained some rich and interesting results. In the paper, we will deduce two kinds of expanding integrable models of the Geng-Cao (GC) hierarchy by constructing different 6-dimensional Lie ...
Xiurong Guo, Yufeng Zhang, Xuping Zhang
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Analytic-bilinear approach to integrable hierarchies. I. Generalized KP hierarchy [PDF]
Journal of Mathematical Physics, 1998 An analytic-bilinear approach for construction and study of integrable hierarchies, in particular, the KP hierarchy is proposed. It starts with the generalized Hirota identity for the Cauchy–Baker–Akhiezer (CBA) function and leads to a generalized KP hierarchy in the form of compact functional equations containing a special shift operator.
BOGDANOV L. V., KONOPELCHENKO, Boris
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Accurate and noninvasive prostate cancer detection using plasma‐derived extracellular vesicle RNA
FEBS Open Bio, EarlyView.Plasma extracellular vesicles were captured with WGA‐conjugated magnetic beads and profiled for RNA biomarkers. A three‐RNA panel (NM_024955, NR_047469, and NR_002564) distinguished prostate cancer from healthy controls and benign prostatic hyperplasia, supporting a simple, noninvasive approach to improve prostate cancer detection.
Hanping Wei, Haoran Wu, Wei Feng
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