Uniqueness and global attractivity of glycolytic oscillations suggested by Selkov's model

DOI10.1007/s10910-010-9674-6zbMath1196.92022OpenAlexW1993522762MaRDI QIDQ1959302

Alberto d'Onofrio

Publication date: 6 October 2010

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-010-9674-6

zbMATH Keywords

energylimit cyclesglobal stabilityglycolysis

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems in biology (37N25) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40)

Related Items (7)

Glycolysis in saccharomyces cerevisiae: algorithmic exploration of robustness and origin of oscillations ⋮ On characterizing of bifurcation and stability analysis for time fractional glycolysis model ⋮ Qualitative study of the Selkov model ⋮ Discretization, bifurcation analysis and chaos control for Schnakenberg model ⋮ Unbounded solutions of models for glycolysis ⋮ Dynamics of the Selkov oscillator ⋮ Unnamed Item

Cites Work

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• Uniqueness of limit cycles in Gause-type models of predator-prey systems
• Mathematical physiology
• Proof of the uniqueness theorem of limit cycles of generalized liénard equations
• Uniqueness of limit cycles in theoretical models of certain oscillating chemical reactions

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