An analysis of photosynthetic response on action of stressors is an important problem, which can be solved by experimental and theoretical methods, including mathematical modeling of photosynthetic processes. The aim of our work was elaboration of a mathematical model, which simulated development of a nonphotochemical quenching under different light conditions. We analyzed two variants of the model: the first variant included a light-induced activation of the electron transport chain; in contrast, the second variant did not describe this activation. Both variants of the model described interactions between transitions from open reaction centers to closed ones (and vice versa) and development of the nonphotochemical quenching. Investigation of both variants of the model showed well qualitative and quantitative accordance between simulated and experimental changes in coefficient of the nophotochemical quenching which were analyzed under different light regimes: (i) the stepped increase of the light intensity without dark intervals between steps, (ii) periodical illuminations by different light intensities with constant durations which were separated by constant dark intervals, and (iii) periodical illuminations by the constant light intensity with different durations which were separated by different dark intervals. Thus, the model can be used for theoretical prediction of stress changes in photosynthesis under fluctuations in light intensity and search of optimal regimes of plant illumination.

中文翻译：

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不同光强度下植物叶片非光化学猝灭的模拟。

分析光合作用对应激源作用的反应是一个重要的问题，可以通过实验和理论方法来解决，包括光合作用过程的数学建模。我们工作的目的是建立一个数学模型，该模型可以模拟在不同光照条件下非光化学猝灭的发展。我们分析了模型的两个变体：第一个变体包括光诱导的电子传输链的激活；第二个变体包括光诱导的电子传输链的激活。相反，第二种变体没有描述这种激活。该模型的两个变体都描述了从开放反应中心到封闭反应中心（反之亦然）之间的相互作用以及非光化学猝灭的发展。对模型的两个变体的研究均显示了在不同光照条件下分析的非光化学猝灭系数的模拟变化和实验变化之间的定性和定量一致性：（i）逐步增加光强度，而各步之间没有暗间隔;（ii） ）以恒定的持续时间间隔不同的光强度进行周期性照明，并以恒定的暗间隔隔开；（iii）以不同的持续时间间隔恒定的光强度进行周期性照明，并以不同的暗间隔进行间隔照明。因此，该模型可用于光强波动下光合作用的应力变化的理论预测以及寻找植物光照的最佳方案。