Boundedness and stable oscillations in two-dimensional enzyme reduced systems

DOI10.1016/0025-5564(86)90002-7zbMath0609.92019OpenAlexW2029036748MaRDI QIDQ1087496

Claudio Lazzari, Flaviano Battelli

Publication date: 1986

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(86)90002-7

zbMATH Keywords

Hopf bifurcationspositive equilibriumbiochemistryinstability conditionsenzyme reaction networksexistence of at least one asymptotically orbitally stable periodic orbitexistence of oscillatory domainspseudo- steady-state approximationpseudo-steady-state hypothesistwo-dimensional enzyme reduced systems

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11) Chemical kinetics in thermodynamics and heat transfer (80A30) Physiological, cellular and medical topics (92Cxx)

Cites Work

• Unnamed Item
• On the pseudo-steady-state approximation and Tikhonov theorem for general enzyme systems
• The effects of cell density and metabolite flux on cellular dynamics
• The existence of stable limit cycles for enzyme catalyzed reactions with positive feedback

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