Features stochastics and chaos theory processing myogram

D. Gorbunov; Kseniya Elman; T. Gavrilenko; V. Grigorenko

doi:doi:10.12737/10864

Features stochastics and chaos theory processing myogram

Published в Complexity. Mind. Postnonclassic · Volume 4, Issue 1, 2015 · Pages 45–53 · Rubrics: Section the Third paradigm in medical cybernetics

DOI 10.12737/10864

Received: 23.04.2015 Accepted: 23.04.2015 Published: 23.04.2015 Language of publication: RUS

Authors

D. Gorbunov · Kseniya Elman · T. Gavrilenko · V. Grigorenko

ABSTRACT

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.

KEYWORDS

chaos myogram two-dimensional phase space.

Information Text References

Authors:

Type:

Article

Pages:

from 45 to 53

Status:

Published

Language:

Russian

Keywords:

chaos, myogram, two-dimensional phase space.

Text

Метод многомерных фазовых пространств активно используется в различных исследованиях. При изучении и моделировании сложных биологических объектов возникает возможность внедрения традиционных физических методов в биологические исследования и новых методов теории хаоса-самоорганизации (ТХС) на фоне сравнения их эффективности [6-14]. В представленной работе демонстрируется реализация такого подхода на основе метода анализа двумерных фазовых пространств для изучения особенностей реакции нервно-мышечной системы в ответ на дозированные статистические нагрузки. Вместо традиционного понимания стационарных режимов биосистем в виде , где x=x(t)=(x₁,x₂,…,x_n)^T является вектором состояния системы (ВСС), могут использоваться параметры квазиатракторов (КА) внутри которых наблюдается движение ВСС в фазовом пространстве состояний (ФПС). Эти движения имеют хаотический характер, т.е. постоянно , но при этом движение ВСС ограниченно в ФПС объемом КА [1-7, 17-19].

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