Results 31 to 40 of about 21,792 (245)

Hyperbolic differential‐operator equations on a whole axis [PDF]

open access: yesAbstract and Applied Analysis, 2004
We give an abstract interpretation of initial boundary value problems for hyperbolic equations such that a part of initial boundary value conditions contains also a differentiation on the time t of the same order as equations. The case of stable solutions of abstract hyperbolic equations is treated.
openaire   +4 more sources

Time after time – circadian clocks through the lens of oscillator theory

open access: yesFEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo   +2 more
wiley   +1 more source

NONLINEAR EQUATION WITH THE THIRD ORDER SCATTERING OPERATOR

open access: yesНаука. Инновации. Технологии, 2022
Introduction: most of the differential equations associated with soliton mathematics are obtained using the Lax operator equation or the zero-curvature equation, which are the compatibility condition for a pair of linear differential systems. The case in
Olga Sergeevna Yanovskaya   +1 more
doaj  

A formula for complex zonal polynomials of second order

open access: yesRevista de Matemática: Teoría y Aplicaciones, 2009
A formula for complex zonal polynomials of second order is derived by solving a particular partial differential equation. Keywords: Laplace-Beltrami operator, zonal polynomials, Hermitian matrix, Legendre’s differential equation.
Francisco J. Caro Lopera   +2 more
doaj   +1 more source

Conserved structural motifs in PAS, LOV, and CRY proteins regulate circadian rhythms and are therapeutic targets

open access: yesFEBS Letters, EarlyView.
Cryptochrome and PAS/LOV proteins play intricate roles in circadian clocks where they act as both sensors and mediators of protein–protein interactions. Their ubiquitous presence in signaling networks has positioned them as targets for small‐molecule therapeutics. This review provides a structural introduction to these protein families.
Eric D. Brinckman   +2 more
wiley   +1 more source

Some spectral properties of fourth order differential operator equation [PDF]

open access: yesOperators and Matrices, 2018
Consider in the separable Hilbert space \(H\) the eigenvalue problem \[ \begin{gathered} y^{(4)}(x)+ Ay(x)+ q(x) y(x)= \lambda y(x),\qquad ...
Aslanova, Nigar M.   +2 more
openaire   +1 more source

The (Glg)ABCs of cyanobacteria: modelling of glycogen synthesis and functional divergence of glycogen synthases in Synechocystis sp. PCC 6803

open access: yesFEBS Letters, EarlyView.
We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee   +3 more
wiley   +1 more source

Transfer Equation in General Curvilinear Coordinates

open access: yesOpen Astronomy, 2011
The differential operator of the monochromatic polarized radiative transfer equation is studied in case of statistically homogeneous turbid medium in Euclidean three-dimensional space, with arbitrary curvilinear coordinate system defined in it.
Freimanis J.
doaj   +1 more source

The coupled Boussinesq equation and its Darboux transformation on the time–space scale

open access: yesFrontiers in Physics, 2022
Gel’fand-Dikii (GD) formalism is an approach for generating integrable systems in terms of fractional powers of the δ differential operator. In this paper, it extends the GD formalism associated with the third-order δ differential operator L to the time ...
Xiaoqian Huang, Yong Zhang, Huanhe Dong
doaj   +1 more source

Organ‐specific redox imbalances in spinal muscular atrophy mice are partially rescued by SMN antisense oligonucleotides

open access: yesFEBS 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
wiley   +1 more source

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