Results 51 to 60 of about 487,972 (266)
Electronic Journal of Differential Equations, 2015 In this article we study a class of integrable quadratic systems and classify all its phase portraits. More precisely, we characterize the class of all quadratic polynomial differential systems in the plane having an ellipse and a straight line as ...
Jaume Llibre, Jiang Yu
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A mathematical framework for analysing particle flow in a network with multiple pools
Royal Society Open ScienceIn many real-world systems, the entry rate of particles into a lane is affected by the occupancy of nearby pools. For instance, in biological networks, the concentration of molecules on the side of a membrane affects the entry of particles through the ...
Aditi Jain, Arvind Kumar Gupta
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Sheaves associated to holomorphic first integrals [PDF]
Annales de l'Institut Fourier, 2000 Let ℱ:L→TS be a foliation on a complex, smooth and irreducible projective surface S, assume ℱ admits a holomorphic first integral f:S→ℙ 1 . If h 0 (S,𝒪 S (-n𝒦 S ))>0 for some n≥1 we prove the inequality: (2n-1)(g-1)≤h 1 (S,ℒ ′-1 (-(n-1)K S ))+h 0 (S,ℒ ′ )+1.
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Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
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Coexistence of algebraic and non-algebraic limit cycles for quintic polynomial differential systems
Electronic Journal of Differential Equations, 2017 In the work by Gine and Grau [11], a planar differential system of degree nine admitting a nested configuration formed by an algebraic and a non-algebraic limit cycles explicitly given was presented.
Ahmed Bendjeddou, Rachid Cheurfa
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On foliations with rational first integral [PDF]
Proyecciones (Antofagasta), 2017 We use the Kodaira’s classification of relatively minimal elliptic fi- brations to prove that a holomorphic foliation in CP2 with a dicritical compact elliptic curve has rational first integral.
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FEBS Letters, EarlyView.Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
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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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Darboux and rational first integrals for a family of cubic three dimensional system
Zanco Journal of Pure and Applied Sciences, 2021 In this paper, we investigate the first integrals of the following system where and , . This kind of system is a special case of three-dimensional polynomial cubic differential systems.
Sarbast H. Mikaeel , Azad I. Amen
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Nonexplicit evolution Volterra integral equation of the first kind with nonlinear integral delay
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2009 We prove a theorem of existence, uniqueness and stability of solution of the implicit evolution Volterra integral equation with respect to the initial value condition on the given finite segment.
T. K. Yuldashev
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