There is set of discussed questions in the study of primary processes of the photosynthesis. Solution of these problems stimulates development of new methods for determination of the photosynthetic unit photophysical parameters in-vivo. In the report possibilities of non-linear fluorimetry method in this problem are investigated. The first step requires creation of low-parametrical model of the photosynthesising organisms fluorescence response formation. The corresponding inverse problem can be solved for this model. In the report the three-parametrical model of the PSO fluorescence formation under pulse laser excitation is proposed. Parameters of this model are the following: the excitation cross-section of chlorophyll-a molecules σ~* (it takes into account both direct absorption of exciting emission by these molecules and energy transfer on them from auxiliary pigments); excited states lifetime of chlorophyll-a molecules τ~* (which describes the rate of them linear deactivation, (τ~*)~(-1) is a sum of the rates of intramolecular energy transitions and energy transfer on reaction centers); constant of the singlet-singlet annihilation rate γ. The approximate expressions for parameters σ~* and τ~* which connect them with the parameters of initial multi-parametrical model were obtained. The dependencies of the parameters σ~* and τ~* on parameters of multi-parametrical model and photons density flow of exciting emission F were investigated. The conditions when σ~* and τ~* do not depend on F were determined. As an algorithm of the inverse take solution of non-linear fluorimetry of PSO the technology of artificial neuro networks was used. The practical stability of the inverse task solution (in first stage for two-parametrical task) to input data noises and modification of fixing parameters of model was investigated.
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