Gorbunov D.V. Simulation of Human Limb Movement

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https://doi.org/10.15688/mpcm.jvolsu.2020.1.4

Dmitriy V. Gorbunov
Candidate for a Degree, Department of Automated Processing and Control Systems,
Surgut State University
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Energetikov St., 22, 628412 Surgut, Russian Federation

Abstract. Simulation of any processes is based on some laws that take place inside the simulated object and outside it (changing the environment in which the object is located). In the study of complex biosystems, the identification of patterns is complicated by the fact that such systems have a chaotic structure. In such systems, it is impossible to arbitrarily repeat the initial state x_i, any intermediate x_n and final x_k. Simulation of complex biosystems should be based on random patterns. 

The created simulation model works based on the random number generation. There are no static values in the model. The inclusion of regulatory mechanisms of the model is based on the search of F-solutions. Chaotic dynamics of changes in the trajectory of a person's limb is established based on experimental data. In accordance with this, in the simulation model, the level of limb retention in space changes its direction by random images in real time. In the framework of the above patterns, a mathematical model of the interaction of muscle bundles was developed to solve the problem of holding the limb in space.

When analyzing the performance of the simulation model, the basis of the evaluation measure was taken. The results were obtained on the basis of  mathematical statistics and the calculation of the quasiattractor parameters in the framework of the theory of chaos and self-organization. As a result, the correspondence of experimental and model data was established. In the framework of mathematical statistics, when constructing matrices of paired comparisons for experimental data, the number of pairs of matches (the word "matches" refers to the possibility of assigning the compared pairs of samples to one general set) is k = 11 %. The same number of coincidence pairs in percentage terms was established when comparing model data and model with experimental data. In the framework of the theory of chaos and self-organization, the quasiattractor parameters coincide in their area and visual assessment of phase planes. 

As a result of the research, high accuracy of the model is established, which is ensured by some chaotic dynamics of the model with chaotic selfregulation mechanisms. There are no constants in the mathematical form of the simulation model, which ensures the reproduction of N.A. Bernstein "repetition without repetition" hypothesis, which has been proven for experimental data. For theoretical biophysics, the constructed simulation model is able to provide understanding of the neuromuscular system functioning, as well as, with some complication and expansion of the algorithm, the central nervous system. 

Key words: simulation model, biomechanical movements, tremor, quasiattractor, F-solutions.

Simulation of Human Limb Movement by Gorbunov D.V. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Mathematical Physics and Computer Simulation. Vol. 23 No. 1 2020, pp. 32-43

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Горбунов 32-43.pdf URL: https://mp.jvolsu.com/index.php/en/component/attachments/download/916

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