Results 61 to 70 of about 524,417 (274)
Positive periodic solutions of singular systems
, 2010 The existence and multiplicity of positive periodic solutions for second order non-autonomous singular dynamical systems are established with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter. Our results provide a unified treatment for the problem and significantly improve several results in the literature ...
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Brake subharmonic solutions of first order Hamiltonian systems
, 2010 In this paper, we mainly use the Galerkin approximation method and the iteration inequalities of the $L$-Maslov type index theory to study the properties of brake subharmonic solutions for the first order non-autonomous Hamiltonian systems. We prove that
Li, Chong, Liu, Chungen
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By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
FEBS Letters, EarlyView.The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo +2 more
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Complexity, 2017 A stochastic prey-predator system in a polluted environment with Beddington-DeAngelis functional response is proposed and analyzed. Firstly, for the system with white noise perturbation, by analyzing the limit system, the existence of boundary periodic ...
Feifei Bian +3 more
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Molecular bases of circadian magnesium rhythms across eukaryotes
FEBS Letters, EarlyView.Circadian rhythms in intracellular [Mg2+] exist across eukaryotic kingdoms. Central roles for Mg2+ in metabolism suggest that Mg2+ rhythms could regulate daily cellular energy and metabolism. In this Perspective paper, we propose that ancestral prokaryotic transport proteins could be responsible for mediating Mg2+ rhythms and posit a feedback model ...
Helen K. Feord, Gerben van Ooijen
wiley +1 more source
Positive periodic solutions for third-order nonlinear differential equations
Electronic Journal of Differential Equations, 2011 For several classes of third-order constant coefficient linear differential equations we obtain existence and uniqueness of periodic solutions utilizing explicit Green's functions.
Jingli Ren, Stefan Siegmund, Yueli Chen
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Positive periodic solutions of functional differential equations
Journal of Differential Equations, 2004 The author considers the existence, multiplicity and nonexistence of positive \(\omega\)-periodic solutions for the periodic equation \[ x'(t)=a(t)g(x(t))x(t)-\lambda b(t)f(x(t-\tau(t))), \] where \(\lambda>0\) is a positive parameter, \(a,b\in C(\mathbb{R}\to [0,\infty))\) are \(\omega\)-periodic, \(\int_0^\omega a(t)\,dt>0\), \(\int_0^\omega b(t)\,dt>
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Disordered but rhythmic—the role of intrinsic protein disorder in eukaryotic circadian timing
FEBS Letters, EarlyView.Unstructured domains known as intrinsically disordered regions (IDRs) are present in nearly every part of the eukaryotic core circadian oscillator. IDRs enable many diverse inter‐ and intramolecular interactions that support clock function. IDR conformations are highly tunable by post‐translational modifications and environmental conditions, which ...
Emery T. Usher, Jacqueline F. Pelham
wiley +1 more source
Function‐driven design of a surrogate interleukin‐2 receptor ligand
FEBS Letters, EarlyView.Interleukin (IL)‐2 signaling can be achieved and precisely fine‐tuned through the affinity, distance, and orientation of the heterodimeric receptors with their ligands. We designed a biased IL‐2 surrogate ligand that selectively promotes effector T and natural killer cell activation and differentiation. Interleukin (IL) receptors play a pivotal role in
Ziwei Tang +9 more
wiley +1 more source
Positive periodic solutions for the Korteweg-de Vries equation
Electronic Journal of Differential Equations, 2007 In this paper we prove that the Korteweg-de Vries equation $$ partial_t u+partial_x^3 u+upartial_x u=0 $$ has unique positive solution $u(t, x)$ which is $omega$-periodic with respect to the time variable $t$ and $u(0, x)in {dot B}^{gamma}_{p, q}([a, b])$
Svetlin G. Georgiev
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