K. Burda et Gh. Schmid, ON THE DETERMINATION OF THE S-STATE DISTRIBUTION IN THE KOK MODEL, Zeitschrift fur Naturforschung. C, A journal of biosciences, 51(5-6), 1996, pp. 329-341
We use the Markow chain theory to analyze the oscillation pattern of o
xygen evolution during water oxidation in photosystem II under short s
aturating light flashes. We propose a method based on the standard lea
st square deviation (test chi(2)) to determine the number of S-states
in the Kok model. As pointed out by Burda et al. (1995) this informati
on is amongst others important for the interpretation of the role of c
alcium for oxygen evolution. A specific mathematical representation fo
r a situation when the S-4 state is longer living than generally assum
ed is introduced which requires an explicit extension of the Kok model
to five states The higher stability is modelled by introducing additi
onal decay channels, e.g. a nonvanishing probability for the transitio
n of S-3 to the S-0 state and a further transition probability for the
transition from S-3 to S-4. Our analysis is extended to the case of d
amped oscillations of oxygen evolution caused, for example, by the lac
k of electron acceptor or the short life time of photosystem II partic
les.