Tambov: Tamb Publishing House . gov. Tech. Un-ta, 2008. 324 s. Contains a systematic presentation of the fundamental foundations of the theory of modeling and optimization of processes and systems for air purification and regeneration in conditions of uncertainty. The mechanisms of the adsorption process, the thermodynamic basis of surface phenomena, the kinetics and dynamics of the adsorption process, as well as the thermal effects that occur during the purification and regeneration of air in insulating means of protecting the respiratory organs of humans are discussed. Mathematical formulations of the problems of studying the interrelated processes of adsorption, heat and mass transfer in the purification and regeneration of air are formulated. It is intended for students of higher educational institutions studying in specialties 240801, 251600, direction 150400 and advanced training of specialists in the scientific and educational center TSTU-OAO Roskhimzashchita Corporation ..