With a method of mathematical modeling the relationship of certain indicators reflecting the relationship of content quantity of choline in food, the expression level of α7 nicotinic acetylcholine receptors in the brain, as well as mass bodies of animals their intake of food and water has been studied. Based on the received model a method for optimizing the use of choline-excess diet to more fully maintain cognitive functions of the brain and other indicators of the State of the organism in brain injury has developed. The developed model allowed obtaining qualitatively new information useful to interpret the data and to deepen notions about the mechanisms of the relationship of the above processes received. The results can be used for correction of brain disorders by using choline in experimental animal models and in the clinic

Models of an autonomous control mechanisms of large-scale systems are considered, knowledge degree about which is limited by the nature of the dependence of the criterion function on parameters of control, and also by the results of measurements of the operating parameters and values of criterion function. The method of calculation of parameter of a mismatch in relation to the regulator PID mechanism used for the approach of the criterion function to the optimum value and the movements near an optimal trajectory is offered. Examples of application of an autonomous control in large-scale organizational systems in the long-term period of functioning are given.

We considered the problem of creating combinatorial algorithms for analyzing the safety of engineering infrastructure objects, which makes it possible to automate the process of solving the problems of providing resources to a multitude of consumers.

The development of mechanisms to prevent the emergence of abnormal and emergency situations is one of the most important tasks in creating highly reliable interactive monitoring and managing systems for complex scientific and technical objects. In many of such objects, the time between the apparent manifestation of the slipping of a controlled object into an abnormal mode and the onset of an uncontrolled development of an accident is so small that the situation can in no be rectified in any way. One way to solve the problem is operative reorganize in time the management system, namely preemptive criterial adaptation. The article analyzes several important defining aspects of the development of mechanisms for preventing the occurrence of anomalous and emergency situations. The interface of human-operator interaction and software-hardware for monitoring and managing complex dynamic objects is described. The organization of visual support of the logical analysis of the situation by the human-operator on the basis of causal mnemonic schemes is described. The main principles that should guide the creation of such support are given.

In this paper we analyze the model with nodes deactivation for generating undirected networks with statistical properties similar to the online social networks.