Determination of photophysical parameters of atoms and molecules is one of the most important problems of fluorimetry. Such parameters are the absorption and excitation cross-sections of a fluorophore, the lifetime of its excited state, the rates of inter-and intramolecular transfer of energy. The tendency to determine as many parameters as possible, especially for multi-fluorophore systems with very high local concentration of the fluorophores, stimulates searching new approaches in fluorimetry. The possibilities of one of such approaches, which can be named "matrix method", are investigated in this paper. In this method, the elements of the matrix of fluorescence intensity values are measured. The arguments of the intensity are not only the wavelength but also the exciting radiation intensity I exc in the range when the fluorescence saturation manifests itself, the time of the delay T of the registration moment in relation to the exciting pulse etc. The results of numerical modeling of inverse problem of determination of photophysical parameters using the elements of suggested matrix as input data and the neural network algorithms are presented. Results of development of separate sections of matrix method are shown. Experiments were performed with dye solutions and microalgae.
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