

The outlined theory is applied to an experimental system involving photosynthesizing diazotrophic cyanobacteria in photobioreactor. In particular, we focus on biochemical processes giving rise to experimentally observed change from a steady state to oscillatory dynamics. Depending on external conditions oscillations in cyanobacteria may come either from circadian cycles synchronized with external light/dark cycle or from an internal ultradian clock, which is active even in the absence of external environmental cues. For the former, we examine models of circadian clock associated with a network involving the KaiABC proteins and their regeneration via a transcriptional network, for the latter, a carbon-nitrogen metabolic model is analyzed. Next, for these biochemical model systems the set of unknown kinetic parameters is determined via the outlined convex optimization so that the dynamics displayed by the model fit the experimentally observed emergence of oscillations.