The article presents the results of the study of the element of the mathematical model to calculate the quantitative risk to health of the population who live in the technogenic-loaded territory. The author proposes a mathematical tool that will make rapid analysis of the influence of carcinogen, which is in the air on the number of cancer in the population. The results of the study had a practical confirmation with a high degree of adequacy. The study of the proposed methods and models will allow practitioners and scientists on the basis of the proposed mathematical apparatus of analysis (or further development) to minimize the risk and optimally manage it, especially in areas with high technogenic stress. Thus, this approach can be applied to the analysis, forecasting and development of measures to ensure the safety of the population.
risk assessment, mathematical model, technogenic-loaded area, stationary and mobile sources, carcinogen, air, Express analysis, forecasting, safety