ИДЕНТИФИКАЦИЯ ОБЪЕКТИВНЫХ РАЗЛИЧИЙ МЕЖДУ ПРОИЗВОЛЬНЫМИ И НЕПРОИЗВОЛЬНЫМИ ДВИЖЕНИЯМИ В БИОМЕХАНИКЕ
Ключевые слова:
тремор, теппинг, матрицы парных сравнений, эффект Еськова – Зинченко
Аннотация
В 1947 году Н.А. Бернштейн выдвинул гипотезу о «повторении без повторений». В этой связи возникает проблема объективной регистрации различий между произвольными и непроизвольными движениями в биомеханике, что и составило цель настоящих исследований. Объект и методы. Обследовалась группа мужчин (средний возраст <T> = 27 ± 1,8 года) по параметрам тремора (непроизвольные движения) и теппинга (как произвольные движения). Траектория движения пальца испытуемого при треморе и теппинге регистрировалась как набор дискретных точек, для которых (после 15 повторов) строились матрицы парных сравнений выборок. Результаты. Для каждого испытуемого была построена матрица парных сравнений выборок и было установлено, что для тремора в этих матрицах число пар k выборок (которые статистически совпадали) не превышает kTR ≤ 5 %, а для теппинга kTP ≤ 12 %. Выводы. Все матрицы для всех испытуемых показали отсутствие статистической устойчивости выборок (как для тремора, так и для теппинга). Это доказывает реальность гипотезы Н.А. Бернштейна и эффект Еськова – Зинченко. Однако число kTP всегда в 2–3 раза больше, чем число kTR, что и является объективной оценкой различий между произвольным движением (теппингом) и непроизвольным движением (тремором).
Литература
1. Albert S.T., Hadjiosif A.M., Jang J. et al. Postural Control of Arm and Fingers Through Integration of Movement Commands. Elife, 2020, vol. 9, p. 52507. DOI: 10.7554/eLife.52507
2. Betelin V.B., Eskov V.M., Galkin V.A., Gavrilenko T.V. Stochastic Volatility in the Dynamics of Complex Homeostatic Systems. Doklady Mathematics, 2017, vol. 95 (1), pp. 92–94. DOI: 10.1134/S1064562417010240
3. Eskov V.M. Models of Hierarchical Respiratory Neuron Networks. Neurocomputing, 1996, vol. 11 (2–4), pp. 203–226. DOI: 10.1016/0925-2312(95)00048-8
4. Eskov V.M., Papshev V.A., Eskov V.V., Zharkov D.A. Measuring Biomechanical Parameters of Human Extremity Tremor. Measurement Techniques, 2003, vol. 46 (1), pp. 93–99.
5. Eskov V.M., Kulaev S.V., Popov Yu.M., Filatova O.E. Computer Technologies in Stability Measurements on Stationary States in Dynamic Biological Systems. Measurement Techniques, 2006, vol. 49 (1), pp. 59–65. DOI: 10.1007/s11018-006-0063-2
6. Eskov V.M., Eskov V.V., Filatova O.E. Characteristic Features of Measurements and Modeling for Biosystems in Phase Spaces of States. Measurement Techniques, 2011, vol. 53 (12), pp. 1404–1410. DOI: 10.1007/s11018-011-9673-4
7. Eskov V.M., Gavrilenko T.V., Vokhmina Y.V. et al. Measurement of Chaotic Dynamics for Two Types of Tapping as Voluntary Movements. Measurement Techniques, 2014, vol. 57 (6), pp. 720–724. DOI: 10.1007/s11018-014-0525-x
8. Eskov V.M., Eskov V.V., Vochmina J.V., Gavrilenko T.V. The Evolution of the Chaotic Dynamics of Collective Modes as a Method for the Behavioral Description of Living Systems. Moscow University Physics Bulletin, 2016, vol. 71 (2), pp. 143–154. DOI: 10.3103/S0027134916020053
9. Eskov V.M., Eskov V.V., Vochmina Y.V. et al. Shannon Entropy in the Research on Stationary Regimes and the Evolution of Complexity. Moscow University Physics Bulletin, 2017, vol. 72 (3), pp. 309–317. DOI: 10.3103/S0027134917030067
10. Eskov V.V., Gavrilenko T.V., Eskov V.M., Vokhmina Y.V. Phenomenon of Statistical Instability of the Third Type Systems – Complexity. Technical Physics, 2017, vol. 62 (11), pp. 1611–1616. DOI: 10.1134/S106378421711007X
11. Grigorenko V.V., Eskov V.M., Nazina N.B., Egorov A.A. Information-Analytical System of Cardiographic Information Functional Diagnostics. Journal of Physics: Conference Series, 2020, vol. 1515, p. 052027. DOI: 10.1088/17426596/1515/5/052027
12. Grigorenko V.V., Bashkatova Yu.V., Shakirova L.S. et al. New Information Technologies in the Estimation of Stationary Modes of the Third Type Systems. IOP Conference Series: Materials Science and Engineering, 2020, vol. 862, p. 052034. DOI: 10.1088/1757-899X/862/5/052034
13. Leonov B.I., Grigorenko V.V., Eskov V.M. et al. Automation of the Diagnosis of Age-Related Changes in Parameters of the Cardiovascular System. Biomedical Engineering, 2018, vol. 52, no. 3, pp. 210–214. DOI: 10.1007/s10527-018-9815-y
14. Ramstead M.J.D., Badcock P.B., Friston K.J. Answering Schrödinger's Question: A Free-Energy Formulation. Physics of Life Reviews, 2018, vol. 24, pp. 1–16. DOI: 10.1016/ j.plrev.2017.09.001
15. Vokhmina Y.V., Eskov V.M., Gavrilenko T.V., Filatova O.E. Measuring Order Parameters Based on Neural Network Technologies. Measurement Techniques, 2015, vol. 58 (4), pp. 462–466. DOI: 10.1007/s11018-015-0735-x
16. Zilov V.G., Eskov V.M., Khadartsev A.A., Eskov V.V. Experimental Verification of the Bernstein Effect “Repetition with-out Repetition”. Bulletin of Experimental Biology and Medicine, 2017, vol. 163 (1), pp. 1–5. DOI: 10.1007/s10517-017-3723-0
17. Zilov V.G., Khadartsev A.A., Eskov V.V., Eskov V.M. Experimental Study of Statistical Stability of Cardiointerval Samples. Bulletin of Experimental Biology and Medicine, 2017, vol. 164 (2), pp. 115–117. DOI: 10.1007/s10517-017-3937-1
18. Zilov V.G., Khadartsev A.A., Eskov V.V. et al. Examination of Statistical Instability of Electroencephalograms. Bulletin of Experimental Biology and Medicine, 2019, vol. 168 (7), pp. 5–9. DOI: 10.1007/s10517-019-04633-7
19. Zilov V.G., Khadartsev A.A., Ilyashenko L.K. et al. Experimental Analysis of the Chaotic Dynamics of Muscle Biopotentials Under Various Static Loads. Bulletin of Experimental Biology and Medicine, 2018, vol. 165 (4), pp. 415–418. DOI: 10.1007/s10517-018-4183-x
20. Zilov V.G., Khadartsev A.A., Eskov V.M., Ilyashenko L.K. New Effect in Physiology of Human Nervous Muscle System. Bulletin of Experimental Biology and Medicine, 2019, vol. 167 (4), pp. 419–423. DOI: 10.1007/s10517-019-04540-x
2. Betelin V.B., Eskov V.M., Galkin V.A., Gavrilenko T.V. Stochastic Volatility in the Dynamics of Complex Homeostatic Systems. Doklady Mathematics, 2017, vol. 95 (1), pp. 92–94. DOI: 10.1134/S1064562417010240
3. Eskov V.M. Models of Hierarchical Respiratory Neuron Networks. Neurocomputing, 1996, vol. 11 (2–4), pp. 203–226. DOI: 10.1016/0925-2312(95)00048-8
4. Eskov V.M., Papshev V.A., Eskov V.V., Zharkov D.A. Measuring Biomechanical Parameters of Human Extremity Tremor. Measurement Techniques, 2003, vol. 46 (1), pp. 93–99.
5. Eskov V.M., Kulaev S.V., Popov Yu.M., Filatova O.E. Computer Technologies in Stability Measurements on Stationary States in Dynamic Biological Systems. Measurement Techniques, 2006, vol. 49 (1), pp. 59–65. DOI: 10.1007/s11018-006-0063-2
6. Eskov V.M., Eskov V.V., Filatova O.E. Characteristic Features of Measurements and Modeling for Biosystems in Phase Spaces of States. Measurement Techniques, 2011, vol. 53 (12), pp. 1404–1410. DOI: 10.1007/s11018-011-9673-4
7. Eskov V.M., Gavrilenko T.V., Vokhmina Y.V. et al. Measurement of Chaotic Dynamics for Two Types of Tapping as Voluntary Movements. Measurement Techniques, 2014, vol. 57 (6), pp. 720–724. DOI: 10.1007/s11018-014-0525-x
8. Eskov V.M., Eskov V.V., Vochmina J.V., Gavrilenko T.V. The Evolution of the Chaotic Dynamics of Collective Modes as a Method for the Behavioral Description of Living Systems. Moscow University Physics Bulletin, 2016, vol. 71 (2), pp. 143–154. DOI: 10.3103/S0027134916020053
9. Eskov V.M., Eskov V.V., Vochmina Y.V. et al. Shannon Entropy in the Research on Stationary Regimes and the Evolution of Complexity. Moscow University Physics Bulletin, 2017, vol. 72 (3), pp. 309–317. DOI: 10.3103/S0027134917030067
10. Eskov V.V., Gavrilenko T.V., Eskov V.M., Vokhmina Y.V. Phenomenon of Statistical Instability of the Third Type Systems – Complexity. Technical Physics, 2017, vol. 62 (11), pp. 1611–1616. DOI: 10.1134/S106378421711007X
11. Grigorenko V.V., Eskov V.M., Nazina N.B., Egorov A.A. Information-Analytical System of Cardiographic Information Functional Diagnostics. Journal of Physics: Conference Series, 2020, vol. 1515, p. 052027. DOI: 10.1088/17426596/1515/5/052027
12. Grigorenko V.V., Bashkatova Yu.V., Shakirova L.S. et al. New Information Technologies in the Estimation of Stationary Modes of the Third Type Systems. IOP Conference Series: Materials Science and Engineering, 2020, vol. 862, p. 052034. DOI: 10.1088/1757-899X/862/5/052034
13. Leonov B.I., Grigorenko V.V., Eskov V.M. et al. Automation of the Diagnosis of Age-Related Changes in Parameters of the Cardiovascular System. Biomedical Engineering, 2018, vol. 52, no. 3, pp. 210–214. DOI: 10.1007/s10527-018-9815-y
14. Ramstead M.J.D., Badcock P.B., Friston K.J. Answering Schrödinger's Question: A Free-Energy Formulation. Physics of Life Reviews, 2018, vol. 24, pp. 1–16. DOI: 10.1016/ j.plrev.2017.09.001
15. Vokhmina Y.V., Eskov V.M., Gavrilenko T.V., Filatova O.E. Measuring Order Parameters Based on Neural Network Technologies. Measurement Techniques, 2015, vol. 58 (4), pp. 462–466. DOI: 10.1007/s11018-015-0735-x
16. Zilov V.G., Eskov V.M., Khadartsev A.A., Eskov V.V. Experimental Verification of the Bernstein Effect “Repetition with-out Repetition”. Bulletin of Experimental Biology and Medicine, 2017, vol. 163 (1), pp. 1–5. DOI: 10.1007/s10517-017-3723-0
17. Zilov V.G., Khadartsev A.A., Eskov V.V., Eskov V.M. Experimental Study of Statistical Stability of Cardiointerval Samples. Bulletin of Experimental Biology and Medicine, 2017, vol. 164 (2), pp. 115–117. DOI: 10.1007/s10517-017-3937-1
18. Zilov V.G., Khadartsev A.A., Eskov V.V. et al. Examination of Statistical Instability of Electroencephalograms. Bulletin of Experimental Biology and Medicine, 2019, vol. 168 (7), pp. 5–9. DOI: 10.1007/s10517-019-04633-7
19. Zilov V.G., Khadartsev A.A., Ilyashenko L.K. et al. Experimental Analysis of the Chaotic Dynamics of Muscle Biopotentials Under Various Static Loads. Bulletin of Experimental Biology and Medicine, 2018, vol. 165 (4), pp. 415–418. DOI: 10.1007/s10517-018-4183-x
20. Zilov V.G., Khadartsev A.A., Eskov V.M., Ilyashenko L.K. New Effect in Physiology of Human Nervous Muscle System. Bulletin of Experimental Biology and Medicine, 2019, vol. 167 (4), pp. 419–423. DOI: 10.1007/s10517-019-04540-x
2. Betelin V.B., Eskov V.M., Galkin V.A., Gavrilenko T.V. Stochastic Volatility in the Dynamics of Complex Homeostatic Systems. Doklady Mathematics, 2017, vol. 95 (1), pp. 92–94. DOI: 10.1134/S1064562417010240
3. Eskov V.M. Models of Hierarchical Respiratory Neuron Networks. Neurocomputing, 1996, vol. 11 (2–4), pp. 203–226. DOI: 10.1016/0925-2312(95)00048-8
4. Eskov V.M., Papshev V.A., Eskov V.V., Zharkov D.A. Measuring Biomechanical Parameters of Human Extremity Tremor. Measurement Techniques, 2003, vol. 46 (1), pp. 93–99.
5. Eskov V.M., Kulaev S.V., Popov Yu.M., Filatova O.E. Computer Technologies in Stability Measurements on Stationary States in Dynamic Biological Systems. Measurement Techniques, 2006, vol. 49 (1), pp. 59–65. DOI: 10.1007/s11018-006-0063-2
6. Eskov V.M., Eskov V.V., Filatova O.E. Characteristic Features of Measurements and Modeling for Biosystems in Phase Spaces of States. Measurement Techniques, 2011, vol. 53 (12), pp. 1404–1410. DOI: 10.1007/s11018-011-9673-4
7. Eskov V.M., Gavrilenko T.V., Vokhmina Y.V. et al. Measurement of Chaotic Dynamics for Two Types of Tapping as Voluntary Movements. Measurement Techniques, 2014, vol. 57 (6), pp. 720–724. DOI: 10.1007/s11018-014-0525-x
8. Eskov V.M., Eskov V.V., Vochmina J.V., Gavrilenko T.V. The Evolution of the Chaotic Dynamics of Collective Modes as a Method for the Behavioral Description of Living Systems. Moscow University Physics Bulletin, 2016, vol. 71 (2), pp. 143–154. DOI: 10.3103/S0027134916020053
9. Eskov V.M., Eskov V.V., Vochmina Y.V. et al. Shannon Entropy in the Research on Stationary Regimes and the Evolution of Complexity. Moscow University Physics Bulletin, 2017, vol. 72 (3), pp. 309–317. DOI: 10.3103/S0027134917030067
10. Eskov V.V., Gavrilenko T.V., Eskov V.M., Vokhmina Y.V. Phenomenon of Statistical Instability of the Third Type Systems – Complexity. Technical Physics, 2017, vol. 62 (11), pp. 1611–1616. DOI: 10.1134/S106378421711007X
11. Grigorenko V.V., Eskov V.M., Nazina N.B., Egorov A.A. Information-Analytical System of Cardiographic Information Functional Diagnostics. Journal of Physics: Conference Series, 2020, vol. 1515, p. 052027. DOI: 10.1088/17426596/1515/5/052027
12. Grigorenko V.V., Bashkatova Yu.V., Shakirova L.S. et al. New Information Technologies in the Estimation of Stationary Modes of the Third Type Systems. IOP Conference Series: Materials Science and Engineering, 2020, vol. 862, p. 052034. DOI: 10.1088/1757-899X/862/5/052034
13. Leonov B.I., Grigorenko V.V., Eskov V.M. et al. Automation of the Diagnosis of Age-Related Changes in Parameters of the Cardiovascular System. Biomedical Engineering, 2018, vol. 52, no. 3, pp. 210–214. DOI: 10.1007/s10527-018-9815-y
14. Ramstead M.J.D., Badcock P.B., Friston K.J. Answering Schrödinger's Question: A Free-Energy Formulation. Physics of Life Reviews, 2018, vol. 24, pp. 1–16. DOI: 10.1016/ j.plrev.2017.09.001
15. Vokhmina Y.V., Eskov V.M., Gavrilenko T.V., Filatova O.E. Measuring Order Parameters Based on Neural Network Technologies. Measurement Techniques, 2015, vol. 58 (4), pp. 462–466. DOI: 10.1007/s11018-015-0735-x
16. Zilov V.G., Eskov V.M., Khadartsev A.A., Eskov V.V. Experimental Verification of the Bernstein Effect “Repetition with-out Repetition”. Bulletin of Experimental Biology and Medicine, 2017, vol. 163 (1), pp. 1–5. DOI: 10.1007/s10517-017-3723-0
17. Zilov V.G., Khadartsev A.A., Eskov V.V., Eskov V.M. Experimental Study of Statistical Stability of Cardiointerval Samples. Bulletin of Experimental Biology and Medicine, 2017, vol. 164 (2), pp. 115–117. DOI: 10.1007/s10517-017-3937-1
18. Zilov V.G., Khadartsev A.A., Eskov V.V. et al. Examination of Statistical Instability of Electroencephalograms. Bulletin of Experimental Biology and Medicine, 2019, vol. 168 (7), pp. 5–9. DOI: 10.1007/s10517-019-04633-7
19. Zilov V.G., Khadartsev A.A., Ilyashenko L.K. et al. Experimental Analysis of the Chaotic Dynamics of Muscle Biopotentials Under Various Static Loads. Bulletin of Experimental Biology and Medicine, 2018, vol. 165 (4), pp. 415–418. DOI: 10.1007/s10517-018-4183-x
20. Zilov V.G., Khadartsev A.A., Eskov V.M., Ilyashenko L.K. New Effect in Physiology of Human Nervous Muscle System. Bulletin of Experimental Biology and Medicine, 2019, vol. 167 (4), pp. 419–423. DOI: 10.1007/s10517-019-04540-x
References
1. Albert S.T., Hadjiosif A.M., Jang J. et al. Postural Control of Arm and Fingers Through Integration of Movement Commands. Elife, 2020, vol. 9, p. 52507. DOI: 10.7554/eLife.525072. Betelin V.B., Eskov V.M., Galkin V.A., Gavrilenko T.V. Stochastic Volatility in the Dynamics of Complex Homeostatic Systems. Doklady Mathematics, 2017, vol. 95 (1), pp. 92–94. DOI: 10.1134/S1064562417010240
3. Eskov V.M. Models of Hierarchical Respiratory Neuron Networks. Neurocomputing, 1996, vol. 11 (2–4), pp. 203–226. DOI: 10.1016/0925-2312(95)00048-8
4. Eskov V.M., Papshev V.A., Eskov V.V., Zharkov D.A. Measuring Biomechanical Parameters of Human Extremity Tremor. Measurement Techniques, 2003, vol. 46 (1), pp. 93–99.
5. Eskov V.M., Kulaev S.V., Popov Yu.M., Filatova O.E. Computer Technologies in Stability Measurements on Stationary States in Dynamic Biological Systems. Measurement Techniques, 2006, vol. 49 (1), pp. 59–65. DOI: 10.1007/s11018-006-0063-2
6. Eskov V.M., Eskov V.V., Filatova O.E. Characteristic Features of Measurements and Modeling for Biosystems in Phase Spaces of States. Measurement Techniques, 2011, vol. 53 (12), pp. 1404–1410. DOI: 10.1007/s11018-011-9673-4
7. Eskov V.M., Gavrilenko T.V., Vokhmina Y.V. et al. Measurement of Chaotic Dynamics for Two Types of Tapping as Voluntary Movements. Measurement Techniques, 2014, vol. 57 (6), pp. 720–724. DOI: 10.1007/s11018-014-0525-x
8. Eskov V.M., Eskov V.V., Vochmina J.V., Gavrilenko T.V. The Evolution of the Chaotic Dynamics of Collective Modes as a Method for the Behavioral Description of Living Systems. Moscow University Physics Bulletin, 2016, vol. 71 (2), pp. 143–154. DOI: 10.3103/S0027134916020053
9. Eskov V.M., Eskov V.V., Vochmina Y.V. et al. Shannon Entropy in the Research on Stationary Regimes and the Evolution of Complexity. Moscow University Physics Bulletin, 2017, vol. 72 (3), pp. 309–317. DOI: 10.3103/S0027134917030067
10. Eskov V.V., Gavrilenko T.V., Eskov V.M., Vokhmina Y.V. Phenomenon of Statistical Instability of the Third Type Systems – Complexity. Technical Physics, 2017, vol. 62 (11), pp. 1611–1616. DOI: 10.1134/S106378421711007X
11. Grigorenko V.V., Eskov V.M., Nazina N.B., Egorov A.A. Information-Analytical System of Cardiographic Information Functional Diagnostics. Journal of Physics: Conference Series, 2020, vol. 1515, p. 052027. DOI: 10.1088/17426596/1515/5/052027
12. Grigorenko V.V., Bashkatova Yu.V., Shakirova L.S. et al. New Information Technologies in the Estimation of Stationary Modes of the Third Type Systems. IOP Conference Series: Materials Science and Engineering, 2020, vol. 862, p. 052034. DOI: 10.1088/1757-899X/862/5/052034
13. Leonov B.I., Grigorenko V.V., Eskov V.M. et al. Automation of the Diagnosis of Age-Related Changes in Parameters of the Cardiovascular System. Biomedical Engineering, 2018, vol. 52, no. 3, pp. 210–214. DOI: 10.1007/s10527-018-9815-y
14. Ramstead M.J.D., Badcock P.B., Friston K.J. Answering Schrödinger's Question: A Free-Energy Formulation. Physics of Life Reviews, 2018, vol. 24, pp. 1–16. DOI: 10.1016/ j.plrev.2017.09.001
15. Vokhmina Y.V., Eskov V.M., Gavrilenko T.V., Filatova O.E. Measuring Order Parameters Based on Neural Network Technologies. Measurement Techniques, 2015, vol. 58 (4), pp. 462–466. DOI: 10.1007/s11018-015-0735-x
16. Zilov V.G., Eskov V.M., Khadartsev A.A., Eskov V.V. Experimental Verification of the Bernstein Effect “Repetition with-out Repetition”. Bulletin of Experimental Biology and Medicine, 2017, vol. 163 (1), pp. 1–5. DOI: 10.1007/s10517-017-3723-0
17. Zilov V.G., Khadartsev A.A., Eskov V.V., Eskov V.M. Experimental Study of Statistical Stability of Cardiointerval Samples. Bulletin of Experimental Biology and Medicine, 2017, vol. 164 (2), pp. 115–117. DOI: 10.1007/s10517-017-3937-1
18. Zilov V.G., Khadartsev A.A., Eskov V.V. et al. Examination of Statistical Instability of Electroencephalograms. Bulletin of Experimental Biology and Medicine, 2019, vol. 168 (7), pp. 5–9. DOI: 10.1007/s10517-019-04633-7
19. Zilov V.G., Khadartsev A.A., Ilyashenko L.K. et al. Experimental Analysis of the Chaotic Dynamics of Muscle Biopotentials Under Various Static Loads. Bulletin of Experimental Biology and Medicine, 2018, vol. 165 (4), pp. 415–418. DOI: 10.1007/s10517-018-4183-x
20. Zilov V.G., Khadartsev A.A., Eskov V.M., Ilyashenko L.K. New Effect in Physiology of Human Nervous Muscle System. Bulletin of Experimental Biology and Medicine, 2019, vol. 167 (4), pp. 419–423. DOI: 10.1007/s10517-019-04540-x
Опубликован
2021-06-09
Как цитировать
Филатов, М., Полухин, В., & Шакирова, Л. (2021). ИДЕНТИФИКАЦИЯ ОБЪЕКТИВНЫХ РАЗЛИЧИЙ МЕЖДУ ПРОИЗВОЛЬНЫМИ И НЕПРОИЗВОЛЬНЫМИ ДВИЖЕНИЯМИ В БИОМЕХАНИКЕ. Человек. Спорт. Медицина, 21(1), 145-149. https://doi.org/10.14529/hsm210118
Выпуск
Раздел
Спортивная тренировка
Copyright (c) 2021 Человек. Спорт. Медицина
Это произведение доступно по лицензии Creative Commons «Attribution-NonCommercial-NoDerivatives» («Атрибуция — Некоммерческое использование — Без производных произведений») 4.0 Всемирная.
