Abstract
Numerical modeling is performed of movement control processes in higher regions of the human brain during the planning and execution of voluntary tracking movements, based on the internal model hypothesis. Such measures as a Kalman filter, linear–quadratic estimator, and linear–quadratic regulator are used. A way of determining moments of the activation of controls is proposed, based on an analysis of the trajectory of tracking movements. Different indicators of the quality of executing tracking movements, including energy expenditure, stability, contributions from motor errors, planning, and execution, are estimated numerically. Real experimental data is obtained in tests of athletes on the national teams of Russia. Practical application of the considered measures to training is shown.
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REFERENCES
M. Kawato and H. Gomi, ‘‘The cerebellum and VOR/OKR learning models,’’ Trends Neurosci. 15 (11), 445–453 (1992).
R. C. Miall and D. M. Wolpert, ‘‘Forward models for physiological motor control,’’ Neural Networks 9 (8), 1265–1279 (1996).
M. Ito, ‘‘A new physiological concept on cerebellum,’’ Rev. Neurol. (Paris) 146 (10), 564–569 (1990).
D. M. Wolpert and M. Kawato, ‘‘Multiple paired forward and inverse models for motor control,’’ Neural Networks 11 (7–8), 1317–1329 (1998).
S.-J. Blakemore, D. M. Wolpert, and C. D. Frith, ‘‘Central cancellation of self-produced tickle sensation,’’ Nat. Neurosci. 1 (7), 635–640 (1998).
J. R. Flanagan and A. M. Wing, ‘‘Modulation of grip force with load force during point-to-point arm movements,’’ Exp. Brain Res. 95 (1), 131–143 (1993).
J. L. Raymond and J. F. Medina, ‘‘Computational principles of supervised learning in the cerebellum,’’ Annu. Rev. Neurosci. 41, 233–253 (2018).
M. Ito, ‘‘Control of mental activities by internal models in the cerebellum,’’ Nat. Rev. Neurosci. 9 (4), 304–313 (2008).
A. G. Feldman and M. F. Levin, ‘‘The origin use of positional frames of reference in motor control,’’ Behav. Brain Sci. 18 (4), 723–744 (1995).
T. Flash and E. Henis, ‘‘Arm trajectory modifications during reaching towards visual targets,’’ J. Cogn. Neurosci. 3 (3) 220–230 (1991).
G. F. Franklin, J. D. Powell, and M. L. Workman, Digital Control of Dynamic Systems, 3rd ed. (Addison Wesley Longman, Menlo Park, CA, 1997).
R. Shadmehr and J. W. Krakauer, ‘‘A computational neuroanatomy for motor control,’’ Exp. Brain Res. 185 (3), 359–381 (2008).
E. Todorov, ‘‘Optimality principles in sensorimotor control,’’ Nat. Neurosci. 7 (9), 907–915 (2004).
M. Ito, ‘‘Movement and thought: identical control mechanisms by the cerebellum,’’ Trends Neurosci. 16 (11), 448–454 (1993).
J. Grèzes, P. Fonlupt, B. Bertenthal, C. Delon-Martin, C. Segebarth, and J. Decety, ‘‘Does perception of biological motion rely on specific brain regions?’’ Neuroimage 13 (5), 775–785 (2001).
E. K. Miller and J. D. Cohen, ‘‘An integrative theory of prefrontal cortex function,’’ Ann. Rev. Neurosci. 24, 167–202 (2001).
A. Baddeley, ‘‘Working memory: looking back and looking forward,’’ Nat. Rev. Neurosci. 4 (10), 829–839 (2003).
K. J. W. Craik, The Nature of Explanation (Cambridge Univ. Press, Cambridge, 1943).
P. N. Johnson-Raird, Mental Models (Cambridge Univ. Press, Cambridge, 1943).
K. Sasaki, S. Kawaguchi, H. Oka, M. Sakai, and N. Mizuno, ‘‘Electrophysiological studies on the cerebellocerebral projections in monkeys,’’ Exp. Brain Res. 24 (5), 495–507 (1976).
F. Yavari and F. Towhidkhah, ‘‘A new proposal on how motor memory is consolidated,’’ J. Neuropsychiatry Clin. Neurosci. 25 (4), E03–E04 (2013).
R. C. Miall and E. W. Jenkinson, ‘‘Functional imaging of changes in cerebellar activity related to learning during a novel eye-hand tracking task,’’ Exp. Brain Res. 166 (2), 170–183 (2005).
J. Izawa, S. E. Criscimagna-Hemminger, and R. Shadmehr, ‘‘Cerebellar contributions to reach adaptation and learning sensory consequences of action,’’ J. Neurosci. 32 (12), 4230–4239 (2012).
R. E. Kalman and R. S. Bucy, ‘‘New results in linear filtering and prediction theory,’’ J. Basic Eng. 83 (1), 95–108 (1961).
R. G. Brown and P. Y. C. Hwang, Introduction to Random Signals and Applied Kalman Filtering (Wiley, New York, 1997).
User’s Manual ‘‘Stabilan-01.’’ Computer-Aided Stabiloanalyzer with Biofeedback: Software and Methodological Support of StabMed 2.0 Computer Stabilographic Complex (OKB ‘‘Ritm’’, Ltd., Taganrog, 2008) [in Russian].
M. P. Shestakov, ‘‘Peculiarities of testing of coordination abilities of football players,’’ Izv. Yuzhn. Feder. Univ., Tekhn. Nauki, No. 6 (83), 145–148 (2008).
V. I. Blagodatskikh, Introduction to Optimal Control. Linear Theory (Vysshaya Shkola, Moscow, 2001) [in Russian].
K. Brammer and G. Siffling, Kalman–Bucy–Filter. Deterministische Beobachtung und Stochastische Filterung (Oldenbourg, Munchen, 1975; Nauka, Moscow, 1982).
M. H. A. Davis and R. B. Vinter, Stochastic Modelling and Control (Chapman and Hall, London, 1985).
A. Bensoussan, Stochastic Control of Partially Observable Systems (Cambridge Univ. Press, Cambridge, 1992).
R. M. Rangayyan, Biomedical Signal Analysis: A Case-Study Approach (Wiley–IEEE Press, New York, 2002; Fizmatlit, Moscow, 2010).
D. Liu and E. Todorov, ‘‘Evidence for the flexible sensorimotor strategies predicted by optimal feedback control,’’ J. Neurosci. 27 (35), 9354–9368 (2007).
S. Yue and C. Wang, ‘‘The influence of serial correlation on the Mann–Whitney test for detecting a shift in mean,’’ Adv. Water Resour. 25 (3), 325–333 (2002).
E. Todorov, ‘‘Stochastic optimal control and estimation methods adapted to the noise characteristics of the sensorimotor system,’’ Neural Comput. 17 (5), 1084–108 (2005).
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We thank O.I. Goncharov for his careful reading of our manuscript and helpful comments.
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Translated by O. Pismenov
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Shevtsova, I.G., Navolotskii, A.A., Eremich, N.A. et al. Way of Assessing an Athlete’s Upright Posture Control while Performing Tracking Movements. MoscowUniv.Comput.Math.Cybern. 44, 203–217 (2020). https://doi.org/10.3103/S0278641920040056
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DOI: https://doi.org/10.3103/S0278641920040056