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The minimal model of Hahn for the Calvin cycle.

2018

There are many models of the Calvin cycle of photosynthesis in the literature. When investigating the dynamics of these models one strategy is to look at the simplest possible models in order to get the most detailed insights. We investigate a minimal model of the Calvin cycle introduced by Hahn while he was pursuing this strategy. In a variant of the model not including photorespiration it is shown that there exists exactly one positive steady state and that this steady state is unstable. For generic initial data either all concentrations tend to infinity at lates times or all concentrations tend to zero at late times. In a variant including photorespiration it is shown that for suitable v…

LightExistential quantificationMolecular Networks (q-bio.MN)02 engineering and technologyDynamical Systems (math.DS)Mathematical proofBiochemistryModels BiologicalMinimal modelsymbols.namesakeAdenosine Triphosphate0502 economics and business0202 electrical engineering electronic engineering information engineeringFOS: MathematicsApplied mathematicsQuantitative Biology - Molecular NetworksMathematics - Dynamical SystemsPhotosynthesisMathematicsCompactification (physics)Applied Mathematics05 social sciencesGeneral MedicineCarbon DioxideOxygenComputational MathematicsKineticsGlucoseModeling and SimulationFOS: Biological sciencesPoincaré conjecturesymbols020201 artificial intelligence & image processingGeneral Agricultural and Biological Sciences92C40 34C60050203 business & managementAlgorithmsMathematical biosciences and engineering : MBE
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