Damage to the DNA molecule by ionizing radiation can be influenced by the presence of certain chemicals in the cell during irradiation. These substances can be both radioprotective and radiosensitive. In this paper, we will discuss the effect of N2O, widely used in medicine, on the chemical stage of the radiobiological mechanism. N2O in the cell during irradiation with ionizing radiation results in more significant damage to the DNA molecule because N2O reacts with hydrated electrons 𝑒𝑎𝑞 − to form aggressive OH radicals. A mathematical simulation model developed using hybrid Petri nets is used to analyze this dynamic process. Hybrid Petri nets allow us to quickly create a mathematical simulation model and explore the system under study to obtain detailed information for practical applications.