Stability of stationary solutions in models of the Calvin cycle

DOI10.1016/j.nonrwa.2016.09.017zbMath1352.92071arXiv1604.06591OpenAlexW2962890953MaRDI QIDQ332396

Stefan Disselnkötter, Alan D. Rendall

Publication date: 8 November 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06591

zbMATH Keywords

stabilitystationary solutioncentre manifoldCalvin cycle

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40) Stability of solutions to ordinary differential equations (34D20)

Related Items (2)

Analysis of a model of the Calvin cycle with diffusion of ATP ⋮ A proof of unlimited multistability for phosphorylation cycles

Cites Work

• Dynamical properties of models for the Calvin cycle
• A proof of bistability for the dual futile cycle
• A simple model of the Calvin cycle has only one physiologically feasible steady state under the same external conditions
• Geometric singular perturbation theory for ordinary differential equations
• Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
• Overload breakdown in models for photosynthesis

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