The Identification of External Force Dynamics in The Modeling of Vibration
The linear homogeneous wave equations with initial and boundary conditions are considered. It is assumed that the non-uniform terms describing an external force, are expanded into Fourier series, and the objective is to determine its N time depending ...
A.I. Dreglea, N.A. Sidorov
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Long time energy averages and a lower resolvent estimate for damped waves [PDF]
Matthieu Léautaud
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Peptide‐based ligand antagonists block a Vibrio cholerae adhesin
The structure of a peptide‐binding domain of the Vibrio cholerae adhesin FrhA was solved by X‐ray crystallography, revealing how the inhibitory peptide AGYTD binds tightly at its Ca2+‐coordinated pocket. Structure‐guided design incorporating D‐amino acids enhanced binding affinity, providing a foundation for developing anti‐adhesion therapeutics ...
Mingyu Wang +9 more
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SPAСETIME ANALYSIS OF AN ELECTROMAGNETIC AIRY PULSE AFTER ITS INTERACTION WITH A PLANAR BOUNDARY IN UNIFORMLY ACCELERATED RELATIVISTIC MOTION [PDF]
Subject and Purpose. The transformation peculiarities that the electromagnetic pulses get when heading towards a boundary that performs uniformly accelerated relativistic motion are the present paper concern.
O. V. Zhyla, N. P. Stognii
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On generalized resolvents and characteristic matrices of first-order symmetric systems [PDF]
Vadim Mogilevskii
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This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
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A data–driven sensibility tool for flow control based on resolvent analysis
This study presents a novel application of data-driven resolvent analysis algorithm for flow control. The objective is to identify key coherent structures connected to regions of the flow that are highly sensitive to structural changes.
E. Lazpita +4 more
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Metric domains, holomorphic mappings and nonlinear semigroups
We study nonlinear semigroups of holomorphic mappings on certain domains in complex Banach spaces. We examine, in particular, their differentiability and their representations by exponential and other product formulas.
Simeon Reich, David Shoikhet
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Characteristic properties for a generalized resolvent of a pair of commuting isometric operators [PDF]
Sergey M. Zagorodnyuk
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Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer
Ribonucleotide reductases (RNR) synthesize DNA building blocks de novo, making them crucial in DNA replication and drug targeting. FLARE introduces the first single‐tube real‐time coupled RNR assay, which enables isothermal tracking of RNR activity at nanomolar enzyme levels and allows the reconstruction of allosteric regulatory patterns and rapid ...
Jacopo De Capitani +4 more
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