A.V. Demin, A.I. Ivanov, A.V. Malyi, A.V. Suvorov

In this study we examined six healthy men with the age rank from 27 to 38 years. The study was carried out in 2010 at the Russian Federation State Research Center Institute of Biomedical Problems RAS during the experiment «Mars-520». Using tonometers Medisana (model MTX and MTD), we have performed the measurements of physiological characteristics (heart rate (HR) and blood pressure) on volunteers. Blood pressure (in mm Hg) and heart rate (beats per minute) were measured in tree repetitions every morning and evening .We used those data to calculate the Kerdo index (KI). The significance of Kerdo index as one of the objective and integrative indicators of the autonomic nervous system (ANS) was described and proved in our previous publications and in many other works. We averaged the results of 6 measurements for each volunteer. The obtained value was taken as the average daily value of the index Kerdo for particular subject. We analyzed the data for 208 days of the experiment. The objective of our research was: to identify the functional characteristics of ANS (for the human in the conditions of long isolation in a closed system) with the certain characteristics of the environment. The main tasks of the work were: 1. In the established time series to find steady-state intervals which coinciding with the synodic months. 2. To find changes of Kerdo index mathematical expectations within stationary and non-stationary processes. 3. To make a physiological interpretation of the results of time series analysis of Kerdo index. Using theorems of N.V. Smirnov we performed a sequential pairwise test of stationarity synodical intervals of processes of VIK change for each of the six subjects. To strengthen the adequacy of our conclusions, the value of error Type I (rejecting the null hypothesis) was increased from 0.05 to 0.25 and above. The calculations were performed with help of system DERIVE 5.05 and MATLAB 8.0 R2012. In our case, if the values were ? the process was considered as strictly stationary. The second task of the study has two parts: 1. Solution for fixed intervals of the process. Because the moment values are constant for stationary processes, it is correct to estimate the values of the mathematical expectation using empirical estimator of average. 2. The decision on the non-stationary time intervals. Because constant values do not exist for the moments in case of non-stationary state, we use the conditional moments for this case. It is known that set of conditional values of the first initial moment is a linear regression function. Using the method of the least squares, we have found the analytical expressions describing the changes in the conditional mathematical expectation on non-stationary intervals. The solution of the third problem. Based on the content of the physiological interpretation of the values of the Kerdo index, it is known that the high values of KI indicate the predominance of sympathetic ANS tone, and low values indicate the predominance of parasympathetic ANS tone. Sufficiently long predominance of parasympathetic tone is interpreted as a process of physiological recovery. It is proved that the rhythms of the autonomic nervous system individually related to length of synodic months. Namely, the changes in temporary processes of human ANS tone can be estimated in synodic lunar months time lengths. We have announced the existence of physiological procedure and postural effects, the use of which allows purposeful control of ANS rhythm in order to strengthen the physiological recovery. As a continuation of this work, we plan to develop systems of synthesis of optimal controls to gain a better recovery processes in the human body using the dosage of physical activity. In our opinion, the results of studies of ANS rhythms reached the level of quantitative maturity, which allows us to use them for the evaluation of long-term exercise regime, for the planning of individual training regimes on the ground, and for the astronauts.