The work is devoted to the analysis of existing mathematical models describing the dependence of the microalgae productivity on environmental factors, and the identification of key parameters that can be the basis of the theory lower photoautotrophs culture growth. It is shown that the maximum growth rates of microalgae are determined by the content of the key enzyme or carrier in the cell involved in energy exchange reactions. The use of the linear spline method in describing the dependence of productivity or specific growth rate on the external environmental parameters or internal parameters of the culture allows to clearly define the limits of limited growth, as well as to obtain simple integrated solutions of the dynamics of biomass density or its components. For conditions of limited growth, the productivity of culture is linearly related to the value of the reduced flux density of the substrate flow or the ratio of reserve and structural biomass compounds.
productivity, specific growth rate, reduced flux density, limiting factor, limiting link, linear splines
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