Ionizing radiation of astrophysical origin might have played an important role in biological evolution during the long course of Earth's evolution. Several phenomena might have induced intense fluctuations in background ionizing radiation, such as highly energetic stellar explosions. There might also be anthropogenic causes for environmental radiation fluctuations, resulting from nuclear industry activities. The inclusion of these effects in a mathematical model for photosynthesis provides a useful tool to account for the damages of the above-mentioned phenomena in vegetal life. Mathematical models for photosynthesis typically only consider ultraviolet radiation and photosynthetically active radiation, as they have been a ubiquitous physical factor in the settlement of vegetal life. In this work a mathematical model for aquatic photosynthesis is modified, from first principles, to include the action of particulate ionizing radiation on the photosynthetic process. After assuming an ansatz allowing to separate damage/repair kinetics of ultraviolet and ionizing radiations, a treatable mathematical expression of the model is obtained. This generalized model is presented as a function of radiometric and photometric magnitudes, making it prone to calibration and useful to apply to aquatic ecosystems under radiational stress due to gamma-ray bursts, cosmic ray bursts, solar storms, or other sources of ionizing radiations.

在地球演化的漫长过程中，天体物理起源的电离辐射可能在生物演化中发挥了重要作用。一些现象可能会导致背景电离辐射的剧烈波动，例如高能恒星爆炸。核工业活动导致的环境辐射波动也可能是人为原因。将这些影响包含在光合作用的数学模型中，为解释上述现象对植物生命造成的损害提供了有用的工具。光合作用的数学模型通常只考虑紫外线辐射和光合有效辐射，因为它们是植物生命定居过程中无处不在的物理因素。在这项工作中，对水生光合作用的数学模型进行了修改，从第一原理开始，将微粒电离辐射对光合作用过程的作用包括在内。在假设 ansatz 允许分离紫外线和电离辐射的损伤/修复动力学后，获得模型的可处理数学表达式。这种广义模型作为辐射测量和光度测量的函数呈现，使其易于校准，并且适用于由于伽马射线爆发、宇宙射线爆发、太阳风暴或其他电离辐射源而受到辐射压力下的水生生态系统。在假设 ansatz 允许分离紫外线和电离辐射的损伤/修复动力学后，获得模型的可处理数学表达式。这种广义模型作为辐射测量和光度测量的函数呈现，使其易于校准，并且适用于由于伽马射线爆发、宇宙射线爆发、太阳风暴或其他电离辐射源而受到辐射压力下的水生生态系统。在假设 ansatz 允许分离紫外线和电离辐射的损伤/修复动力学后，获得模型的可处理数学表达式。这种广义模型作为辐射测量和光度测量的函数呈现，使其易于校准，并且适用于由于伽马射线爆发、宇宙射线爆发、太阳风暴或其他电离辐射源而受到辐射压力下的水生生态系统。