Dynamics of the Calvin cycle
Alan Rendall, Johannes Gutenberg-Universitat Mainz
The Calvin cycle is a central part of photosynthesis where carbon fixation
takes place. There exist a number of different mathematical models for
this process in the literature. They differ in the number of chemical species
included and the assumptions made on the kinetics of the chemical reactions
involved. I will discuss the dynamical properties of solutions of ODE models
for the Calvin cycle. Issues discussed include whether concentrations may
tend to zero at late times (which might be caused by too much inorganic
phosphate in the cytosol) and the multiplicity and stability of steady states.
The mathematical techniques in this analysis include centre manifold theory
and geometric singular perturbation theory.