The paper presents a new mathematical model for regulatory mechanisms of interrelated functioning between the brain and main human organs. Results of the analysis of developed functional-differential equations show the presence of extinction modes, a stable stationary state, stable self-oscillatory behavior, irregular functioning, and the effect of sharp destructive changes - the “black hole” effect. The knowledge about the regulatory mechanisms of the functioning of the human brain and nervous system is the basis for solving the fundamental problems of creating artificial intelligence. In addition, most human diseases are the result of disturbances in the regulatory mechanisms of neuronal functioning. Revealing the regulatory mechanisms of the interrelated functioning of brain regions and various organs, tissues, and muscles of a person is an urgent task for the development of new treatment tactics. On the basis of the knowledge gained and the revealed new patterns, it is possible to create an effective “digital central nervous system” of organizations for the prompt solution of problems, to determine the potential for the existence and development of systems in normal conditions and under stressful conditions; to create scientifically based methods and means of regulating the development and productivity of facilities to achieve optimal performance.