Results 61 to 70 of about 487,972 (266)
Polynomial First Integrals of Quadratic Systems
Rocky Mountain Journal of Mathematics, 2001 The paper contains a classification and the topological phase portraits of all quadratic systems having minimal polynomial first integrals of degree at most 4. The authors prove the existence of minimal polynomial first integrals of any degree for quadratic systems and show that such systems having more than three invariant straight lines have no ...
Llibre, Jaume, Zhang, Xiang
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Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?
FEBS Letters, EarlyView.This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes +3 more
wiley +1 more source
The problem of first integral of nonholonomic systems
Vietnam Journal of Mechanics, 2001 In this paper, the problem of first integrals of a nonholonomic system is discussed. The aim of this work is concentra.ted on finding the condition for existence of first integrals.
Do Sanh
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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
wiley +1 more source
Meromorphic first integrals: some extension results [PDF]
Tohoku Mathematical Journal, 2002 Let \({\mathcal F}\) be a one-dimensional holomorphic foliation with possible isolated singularities on a complex surface \(M\). Such a foliation is given by a holomorphic vector field near each point of \(M\). By a theorem of \textit{A. Seidenberg} [J. Am. Math.
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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
Liouvillian first integrals of differential equations [PDF]
Transactions of the American Mathematical Society, 1989 Liouvillian functions are functions that are built up from rational functions using exponentiation, integration, and algebraic functions. We show that if a system of differential equations has a generic solution that satisfies a liouvillian relation, that is, there is a liouvillian function of several variables vanishing on the curve defined by this ...
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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
wiley +1 more source
The The 1:-1:1 Resonance Integrable Problem for a Cubic Lotka-Volterra Systems.
Zanco Journal of Pure and Applied Sciences, 2019 This paper is devoted to investigate the integrability and linearizability problems around a singular point at the origin of a cubic three-dimensional Lotka-Volterra differential system with -resonance.
Hersh Mohammed Saber, Waleed H. Aziz
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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