Statistical and evaluation chaotic parameters under cardio exertion

2015 ◽  
Vol 4 (2) ◽  
pp. 5-10
Author(s):  
Филатова ◽  
D. Filatova ◽  
Карпин ◽  
Vladimir Karpin ◽  
Еськов ◽  
...  
Keyword(s):  
Phase Space ◽  
Cardiovascular System ◽  
Chaos Theory ◽  
Chaotic Dynamics ◽  
Stochastic Approach ◽  
Dynamic Exercise ◽  
Self Organization ◽  
Dimensional Phase Space ◽  
Classical Statistics ◽  
Fitness Indicators

Methods of classical statistics and the theory of chaos and self-organization studied the behavior of the vector of the cardiovascular system in groups of students trained and untrained in response to dosed physical stress .It was found that students without physical fitness indicators of cardio area quasi-attractors increased after exercise . The study had shown significant changes in the dynamics of the behavior of the parameters of functional systems of the human body compared to the stochastic approach based on the histogram and Shannon entropy . It is shown the feasibility of application of chaos theory, self-organization in the evaluation of the reaction of the cardiovascular system of the person on the dynamic exercise. As a measure of the cardiovascular system of the person (to load and after the load) used quasi-attractor motion of the state vector of the system in the two-dimensional phase space of states. Within the framework of the theory of chaos and self-organization may determine the parameters of the spacecraft for individual subjects and their groups to compare their chaotic dynamics in time or in the phase space of states.

Analysis of Myograms Acording to the Stochastics and the Chaos Theory – Self-Organization

2015 ◽  
Vol 22 (2) ◽  
pp. 32-38
Author(s):  
Григоренко ◽  
V. Grigorenko ◽  
Горбунов ◽  
D. Gorbunov ◽  
Еськов ◽  
...  
Keyword(s):  
Phase Space ◽  
Shannon Entropy ◽  
Chaos Theory ◽  
The State ◽  
Biomechanical Analysis ◽  
Self Organization ◽  
Biological Research ◽  
Dimensional Phase Space ◽  
Low Load ◽  
Little Finger

The paper shows the feasibility of applying the method of multi-dimensional phase space as a quantitative measure for the evaluation of chaotic dynamics on the example of the muscles (flexor of the little finger). The method of multi-dimensional phase space was used. In the study and modeling of complex biological objects (complexity) there is the possibility of introducing traditional physical methods in biological research and new methods based on the chaos theory and self-organization. As a measure of the state of the neuromuscular system of the person (weak muscle tension and strong, almost the maximum force), the authors used quasi-attractors volumes of multidimensional phase space. This enables identification of the actual measurements of the parameters of the functional state with weak muscles (Fi = 5 daN) and strong (Fi = 10 daN) static stress. The authors built a timebase signal received from the electromyograph and the autocorrelation function A(t) of signal. A biomechanical analysis of the state of the system is carried out on the basis of comparison of the volume VG quasi attractor, as well as on the basis of the analysis of the Shannon entropy E. Volume of quasi attractor VG displacements under low load is slightly less than the same volume displacement VG with strong exertion of the muscles of the flexor of the little finger, exactly the same as the values of the Shannon entropy under a heavy load increases compared to the values obtained under low load the muscles.

Complex System Stationary Mode According to the Theory of Chaos-Self-Organization

10.12737/3329 ◽  
2014 ◽  
Vol 21 (1) ◽  
pp. 141-144
Author(s):  
Бикмухаметова ◽  
L. Bikmukhametova ◽  
Полухин ◽  
L. Polukhin ◽  
Вохмина ◽  
...  
Keyword(s):  
Phase Space ◽  
State Vector ◽  
Chaotic Dynamics ◽  
Main Idea ◽  
Self Organization ◽  
Stationary Mode ◽  
Cluster Approach ◽  
Classical Statistics ◽  
Complex Biosystems ◽  
Real Complex

Traditional biological science (biophysics, systems analyses of biosystems) stationary mode of biosystems describes according to equation dx/dt=0 for the systems state vector x=x(t)=(x1, x2,…xm)T. But real biosystems demonstrated uninterrupted chaotic dynamics when dx/dt≠0 is always uninterrupted. The authors present two types of approaches to stationary mode investigation for biosystems. The first approach is based on the compartmental-cluster theory and the second approach is based on the theory of chaos-self-organization. The last is more convenient for real biosystems description because there are pragmatic results of its use. The compartmental-cluster approach may be used for real complex biosystems and the authors present some typical examples of such theory. The stationary mode of hierarchical neural networks were illustrated according to specific audi - analyzator. It was demonstrated that short intervals of tremogram demonstrate the real difference of distribution function parameters. As a result of such experiments – the classical statistics methods don’t usefulness for investigation of postural tremor. The tremogram, cardiogram, encephalogram are the systems of third type. The main idea consists of uninterrupted chaotic movements (glimmering property) of system’s vector in phase space of state and evolution of such system’s state vector in phase space of state. The glimmering property and evolution don’t have properties which can be modeled by traditional deterministic and stochastic approaches.

Parameters quasiattractors cardiova.scular system of the subjects in the conditions of the dosed physical load

10.12737/7648 ◽  
2014 ◽  
Vol 3 (4) ◽  
pp. 4-12
Author(s):  
Яхно ◽  
V. Yakhno ◽  
Карпин ◽  
V. Karpin ◽  
Кощеев ◽  
...  
Keyword(s):  
Physical Activity ◽  
Phase Space ◽  
Cardiovascular System ◽  
Human Body ◽  
Chaotic Dynamics ◽  
Calculation Of Parameters ◽  
New Methods ◽  
Methods Of Calculation ◽  
Classical Statistics ◽  
Neuromuscular Systems

Parameters of cardiovascular system at the unexercised and trained examinees by methods of classical statistics and new methods of calculation of chaotic dynamics of behavior of a vector of a condition of a human body in phase space are studied. The tendency to increase in the area of quasiattractors of unexercised examinees after physical activity is shown that is also confirmed by change of values of volumes of quasiattractors after loading in comparison with data to loading. Long physical activity (training) stabilizes parameters of cardiovascular and neuromuscular systems of the trained students in aspect of natural changes of parameters of quasiattractors, and their dynamics shows fitness degree. Calculation of parameters of quasiattractors of cardiovascular system allows to estimate objectively dynamics of reserve opportunities of an organism and their predictive importance.

Possibilities of stochastic processing of system parameters with chaotic dynamics

10.12737/5519 ◽  
2014 ◽  
Vol 3 (2) ◽  
pp. 59-67
Author(s):  
Берестин ◽  
D. Berestin ◽  
Попов ◽  
Yuriy Popov ◽  
Вохмина ◽  
...  
Keyword(s):  
Phase Space ◽  
General Population ◽  
Chaotic Dynamics ◽  
Estimation Method ◽  
Pairwise Comparison ◽  
Wilcoxon Test ◽  
Self Organization ◽  
Postural Tremor ◽  
System Parameters ◽  
Stochastic Processing

The paper presents the first attempt to combine methods of stochastics (mathematical statistics) and methods of theory of chaos and self-organization for studying such complex (chaotic) processes as postural tremor. It was established that when re-registering tremor in each subject by n=15 or n=30 obtained tremorograms do not exhibit normal distribution, and non-parametric distributions show distinctions at pairwise comparison on Wilcoxon test (only 2 or 3 pairs from 210 may belong to the same general population). Static physical load sharply changes this picture and the number of such ("similar") pairs increases. The estimation method for effect of a load on tremor is proposed. Simultaneously, within calculating quasi-attractors there is a clear picture of division of chaotic dynamics of tremor parameters with load and without load. Prospects of a new method application in physiological measurements are discussed. Limited method of stochas- tics in description of complexity is underlined, and necessity of calculation quasi-attractor´s parameters in phase space of state is proved.

Understanding the Unpredictability of Cancer using Chaos Theory and Modern Art Techniques

Leonardo ◽  
2016 ◽  
Vol 49 (1) ◽  
pp. 66-67
Author(s):  
Dhruba Deb
Keyword(s):  
Phase Space ◽  
Conceptual Model ◽  
Chaotic System ◽  
Chaos Theory ◽  
Strange Attractor ◽  
Model Building ◽  
Modern Art ◽  
System Level ◽  
Abstract Expressionist ◽  
Dimensional Phase Space

The unpredictability of cancer poses a threat to personalized cures. Although cancer is studied as a chaotic system, the shape of its unpredictability, known as the strange attractor, is unclear. In this article, the author discusses a conceptual model, building on the strange attractor in cancer phase space. Using techniques of cubism, the author defines the 10-dimensional phase space and then, using an abstract expressionist approach, represents the strange attractor, which twists and turns in multi dimensions, indicating the unpredictability of cancer. This conceptual model motivates the identification of specific experiments for a system-level understanding of cancer.

Assessment of parameters state of neuromuscular cluster in the conditions of the dosed physical activity

10.12737/3860 ◽  
2014 ◽  
Vol 8 (1) ◽  
pp. 1-6
Author(s):  
Рассадина ◽  
Yu. Rassadina ◽  
Попов ◽  
Yuriy Popov ◽  
Карпин ◽  
...  
Keyword(s):  
Physical Activity ◽  
Control System ◽  
Phase Space ◽  
State Vector ◽  
Self Organization ◽  
Neuromuscular System ◽  
Two Dimensional ◽  
Practical Possibility ◽  
Dimensional Phase Space ◽  
State Vector Of System

Parameters of neuromuscular system at the unexercised and trained examinees from a position of the theory of chaos and self-organization are studied. Essential distinction between two studied groups (the trained and unexercised students) is established. Dynamics of involuntary micro-movements of extremities (fingers of hands) in a person as reaction to the dosed physical activity is shown in change of parameters of quasiattractors of characteristics of a tremor. Dynamics of increase in volumes of quasiattractors of a vector of organism state in the unexercised students is revealed. The new technique of research of a control system by movements of a person by means of the analysis of characteristics of a tremor of an extremity in the conditions of physical activity is stated. Practical possibility of application of the method of multidimensional phase spaces of involuntary micro-movement in the assessment of reaction of neuromuscular system of the person on dynamic physical activity is shown. As a measure of state of human neuromuscular system (to loading and after loading) the authors use the quasiattractors of movement of state vector of system in two-dimensional phase space of states.

Physiotherapy for hypertensive disease from the perspectives of chaotic dynamics of cardiovascular system parameters in patients

10.12737/7242 ◽  
2014 ◽  
Vol 8 (1) ◽  
pp. 0-0 ◽  
Author(s):  
Горбунов ◽  
D. Gorbunov ◽  
Эльман ◽  
Kseniya Elman ◽  
Гараева ◽  
...  
Keyword(s):  
Phase Space ◽  
Cardiovascular System ◽  
Chaotic Dynamics ◽  
Hypertensive Disease ◽  
Initial State ◽  
Hypertensive Patients ◽  
System Parameters ◽  
Calculation Of Parameters ◽  
Effi Ciency ◽  
Two Stages

The problem of one-type uncertainty is solved when cardiovascular system parameters in hypertensive patients undergoing physiotherapy aren’t differentiated by stochastics, but these differences are clearly revealed by the methods of neurocomputing and calculation of parameters of quasi-attractors. Simultaneously, the solution of system synthesis problem is possible, i.e. identification of more important diagnostic characters xi from the whole set of state vector of cardiovascular system x(t) in hypertensive patients. Efficiency of physiotherapy is estimated at two stages of course of treatment: in the initial state (initial physiotherapy) and after the termination of course of treatment. The dynamics of motion of quasi-attractors in phase space of states in hypertensive patients is shown. Thus, the problem of elimination of one-type uncertainty in studying the effi-ciency of curative measures is solved.

scholarly journals Local Functional Coefficient Autoregressive Model for Multistep Prediction of Chaotic Time Series

2015 ◽  
Vol 2015 ◽  
pp. 1-13
Author(s):  
Liyun Su ◽  
Chenlong Li
Keyword(s):  
Time Series ◽  
Phase Space ◽  
Chaos Theory ◽  
Nearest Neighbor ◽  
Simulated Data ◽  
Real Data ◽  
Chaotic Time Series ◽  
Dimensional Phase Space ◽  
Local Functional ◽  
Functional Coefficient

A new methodology, which combines nonparametric method based on local functional coefficient autoregressive (LFAR) form with chaos theory and regional method, is proposed for multistep prediction of chaotic time series. The objective of this research study is to improve the performance of long-term forecasting of chaotic time series. To obtain the prediction values of chaotic time series, three steps are involved. Firstly, the original time series is reconstructed inm-dimensional phase space with a time delayτby using chaos theory. Secondly, select the nearest neighbor points by using local method in them-dimensional phase space. Thirdly, we use the nearest neighbor points to get a LFAR model. The proposed model’s parameters are selected by modified generalized cross validation (GCV) criterion. Both simulated data (Lorenz and Mackey-Glass systems) and real data (Sunspot time series) are used to illustrate the performance of the proposed methodology. By detailed investigation and comparing our results with published researches, we find that the LFAR model can effectively fit nonlinear characteristics of chaotic time series by using simple structure and has excellent performance for multistep forecasting.

Ecosystems homeostasis and the chaos theory and synergetics (short report)

2015 ◽  
Vol 9 (2) ◽  
pp. 0-0
Author(s):  
Хадарцева ◽  
K. Khadartseva ◽  
Филатова ◽  
O. Filatova
Keyword(s):  
Phase Space ◽  
Human Body ◽  
Chaos Theory ◽  
Self Organization ◽  
Short Report

From the prospective of the theory of chaos and self-organization it is necessary to define a finite quasi-attractor and move into the area of phase space where it is located. Not each motion is evolution, since evolu-tion means shifting center of quasi-attractors. The participation of each element of the system is necessary, otherwise the evolution will not. In the human body there are organs that are guidelines and may stop the evolu-tion of the organism (in the form of aging) or delay fatal, although death teleologically for us is defined in con-trast to the society.

Dynamics of parameters of bioelectrical activity of muscles in response to different static forces

2015 ◽  
Vol 9 (4) ◽  
pp. 0-0
Author(s):  
Горбунов ◽  
D. Gorbunov ◽  
Эльман ◽  
Kseniya Elman ◽  
Гавриленко ◽  
...  
Keyword(s):  
Chaos Theory ◽  
High Efficiency ◽  
Stochastic Approach ◽  
Self Organization ◽  
Bioelectrical Activity ◽  
Static Loads ◽  
Main Research ◽  
Recorded Signal ◽  
Extensor Muscles ◽  
Little Finger

This article presents the methods of analysis of the dynamics of bioelectrical activity of the flexor muscles of the little finger of his right hand as a reaction to the static force in compression dynamometer, manifested in changes of the quasi-attractors parameters. The main research methods were deterministicstochastic methods and methods of the chaos theory and self-organization to describe complex biological systems. The authors present a comparative analysis of calculating the parameters of the obtained results, in particular, in the framework of the chaos theory and self-organization - the calculations of the phase plane and their areas; in the framework of the deterministic-stochastic approach - the calculation of the Shannon entropy. Calculations are aimed at assessing the level of randomness of the recorded signal. Analysis of the recorded signal and the evaluation of the level of randomness in a signal of bioelectrical activity of muscles showed that an increase in the static load quasi-attractors bioelectric muscle activity increases dramatically. The degree of change was estimated by calculating the parameters of quasi-attractors according to the chaos theory and self-organization. The changes of state of the system in the direction of increasing the degree of variability in the bioelectric activity of the extensor muscles of the little finger are demonstrated. The high efficiency of application of the chaos theory and self-organization in the assessment of the neuromuscular human system is showed. The obtained results allow to determining the level of the ability of performing the specified operations under the influence of static loads.

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