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.

Features stochastics and chaos theory processing myogram

2015 ◽  
Vol 4 (1) ◽  
pp. 45-53
Author(s):  
Горбунов ◽  
D. Gorbunov ◽  
Эльман ◽  
Kseniya Elman ◽  
Гавриленко ◽  
...  
Keyword(s):  
Phase Space ◽  
Shannon Entropy ◽  
Chaos Theory ◽  
Muscle Tension ◽  
Quantitative Measure ◽  
Biological Research ◽  
Heavy Load ◽  
Dimensional Phase Space ◽  
Weak Muscle ◽  
Little Finger

In studies using the method of multi-dimensional phase space. 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 chaos theory, self-organization. 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). As a measure of the state of the neuromuscular system of the person (weak muscle tension and strong, almost the maximum force) 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 (p = 5th Dan) and strong (P = 10 daN) static stress. Was built timebase signal obtained with myograph and were built autocorrelation function A (t) signal. In the end analysis of the biomechanical system based on a comparison of volume quasi-attractor, as well as on the basis of analysis of the Shannon entropy N. kzvaziattraktora volume displacement at low load is slightly less than the same amount of displacement under a heavy load of flexor muscles of the little finger, just as the values of the Shannon entropy at a heavy load is increased as compared with the values obtained by the weak muscle load.

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.

Two types of approaches at personification medicine development

2015 ◽  
Vol 4 (1) ◽  
pp. 81-88
Author(s):  
Филатова ◽  
O. Filatova ◽  
Хадарцева ◽  
K. Khadartseva ◽  
Еськов ◽  
...  
Keyword(s):  
Phase Space ◽  
Medical Treatment ◽  
Basic Principle ◽  
State Vector ◽  
The State ◽  
Self Organization ◽  
Human Organism ◽  
Medicine Development ◽  
State Measurement

It is evident that requirement of medical personification includes two procedures: individual (with uninterrupted procedure of human organism state measurement) diagnostics and the second part which is connected with uninterrupted control of the efficiency of medical treatment and measurements of human organism parameters. According to classic deterministic-stochastic approaches we don´t have any possibility for realization of the basic principle in medicine because every human organism has its own specific features. We conduct the diagnostics according to beha-vior of state vector of human organism in phase space of states according to every coordinates of human´s state vector and with calculation of quasiattractors. It was presented new bioinformational methods and software for calculation of quasiattractors parameters for dissolving such contradic-tions between deterministic-stochastic medicine and the use of theory of chaos self-organization where the state vector of human organism demonstrates uninterrupted movements. The practical results of such procedure are also presented according to the theory of chaos self-organization.

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.

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.

Entropy in the evaluation of tremor parameters from the position of the chaos theory and self-organization

2016 ◽  
Vol 10 (1) ◽  
pp. 0-0
Author(s):  
Черников ◽  
N. Chernikov ◽  
Горбунов ◽  
D. Gorbunov ◽  
Берестин ◽  
...  
Keyword(s):  
Shannon Entropy ◽  
Three Dimensional ◽  
Pairwise Comparison ◽  
Self Organization ◽  
Time Interval ◽  
Statistical Parameters ◽  
Random Generator ◽  
Dimensional Phase Space ◽  
The Matrix ◽  
Low Sensitivity

The evolution of biological systems on the example of measuring the parameters of tremor and values of the Shannon entropy of the same test (15 measurements on 15 samples) was carried out. Changes tremor pa-rameters observed both in the same subject or a group of subjects. The statistical parameters are unique, they are specific to a particular time interval Δt. In the framework of the theory of chaos, self-organization and for this reason it is always calculated in the two-dimensional quasi-attractor tremorograms or three-dimensional phase space of states. Calculation of entropy values Shannon showed that statistically the sample entropy does not vary, but the result of the matrix pairwise comparison of samples of entropy is similar to the result of the matrix pairwise comparison of samples from a random generator. The article demonstrates that the method of calculating the Shannon entropy E can be used in assessing the homeostasis parameters tremor regulation sys-tem, but it has low sensitivity.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

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