Results 81 to 90 of about 1,003,535 (311)
The role and implications of mammalian cellular circadian entrainment
FEBS Letters, EarlyView.At their most fundamental level, mammalian circadian rhythms occur inside every individual cell. To tell the correct time, cells must align (or ‘entrain’) their circadian rhythm to the external environment. In this review, we highlight how cells entrain to the major circadian cues of light, feeding and temperature, and the implications this has for our
Priya Crosby
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On the solutions of a second order difference equation [PDF]
Mathematica Moravica, 2017 In this paper, we discuss the global behavior of all solutions of the difference equation Xn+1 = XnXn-1 axn + bxn-1, n € N0, where a; b are real numbers and the initial conditions X-1, X0 are real numbers.
Abo-Zeid R.
doaj
Periodic solutions of spatially periodic hamiltonian systems
Journal of Differential Equations, 1992 The existence of periodic solutions for Hamiltonian systems of ordinary differential equations (1) \(\dot z=J(H_ z(z,t)+f(t))\) is studied, where \(H: R^{2n}\times R\to R\) is of class \(C^ 1\) and is \(2\pi\)-periodic with respect to \(t\); \(f: R\to R\) is continuous and \(2\pi\)-periodic and \(J=\bigl({0 \atop I_ n} {-I_ n \atop 0}\bigr)\).
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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
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Journal of Applied Mathematics, 2014 A mathematical model on schistosomiasis governed by periodic differential equations with a time delay was studied. By discussing boundedness of the solutions of this model and construction of a monotonic sequence, the existence of positive periodic ...
Lin Li, Zhicheng Liu
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FEBS Letters, EarlyView.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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Dynamical behaviors of a two-competitive metapopulation system with impulsive control
Advances in Difference Equations, 2017 In this paper, we study the dynamical behaviors of a two-competitive metapopulation system with impulsive control and focus on the stable coexistence of the superior and inferior species.
Shasha Tian, Yepeng Xing, Tao Ma
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PERIODIC SOLUTIONS AND SLOW MANIFOLDS [PDF]
International Journal of Bifurcation and Chaos, 2007 After reviewing a number of results from geometric singular perturbation theory, we give an example of a theorem for periodic solutions in a slow manifold. This is illustrated by examples involving the van der Pol-equation and a modified logistic equation.
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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
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