Abstract
We propose a new method to provide a functional interpretation of motor commands (i.e., muscle activities) and their relationship to movement kinematics. We evaluated our method by analyzing the motor commands of normal controls and patients with cerebellar disorders for visually guided tracking movement of the wrist joint. Six control subjects and six patients with cerebellar disorders participated in this study. We asked the subjects to perform visually guided smooth tracking movement of the wrist joint with a manipulandum, and recorded the movements of the wrist joint and activities of the four wrist prime movers with surface electrodes. We found a symmetric relationship between the second-order linear equation of motion for the wrist joint and the linear sum of activities of the four wrist prime movers. The symmetric relationship determined a set of parameters to characterize the muscle activities and their similarity to the components of movement kinematics of the wrist joint. We found that muscle activities of the normal controls encoded both the velocity and the position of the moving target, resulting in precise tracking of the target. In contrast, muscle activities of the cerebellar patients were characterized by a severer impairment for velocity control and more dependence on position control, resulting in poor tracking of the smoothly moving target with many step-like awkward movements. Our results suggest that the cerebellum plays an important role in the generation of motor commands for smooth velocity and position control.
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References
Soechting JF, Flanders M. Moving in three-dimensional space: frames of reference, vectors, and coordinate systems. Annu Rev Neurosci. 1992;15:167–91.
Pouget A, Snyder LH. Computational approaches to sensorimotor transformations. Nat Neurosci. 2000;3:1192–8.
Wilkie DR. The relation between force and velocity in human muscle. J Physiol. 1949;110:249–80.
Flanders M. Temporal patterns of muscle activation for arm movements in three-dimensional space. J Neurosci. 1991;11:2680–93.
Koike Y, Kawato M. Estimation of dynamic joint torques and trajectory formation from surface electromyography signals using a neural network model. Biol Cybern. 1995;73:291–300.
Hoffman DS, Strick PL. Step-tracking movements of the wrist. IV. Muscle activity associated with movements in different directions. J Neurophysiol. 1999;81:319–33.
Uchiyama T, Akazawa K. Muscle activity-torque-velocity relations in human elbow extensor muscles. Front Med Biol Eng. 1999;9:305–13.
Suzuki M, Shiller DM, Gribble PL, Ostry DJ. Relationship between cocontraction, movement kinematics and phasic muscle activity in single-joint arm movement. Exp Brain Res. 2001;140:171–81.
Franklin DW, Burdet E, Tee KP, Osu R, Chew CM, Milner TE, et al. CNS learns stable, accurate, and efficient movements using a simple algorithm. J Neurosci. 2008;28:11165–73.
Durfee WK, Palmer KI. Estimation of force-activation, force-length, and force-velocity properties in isolated, electrically stimulated muscle. IEEE Trans Biomed Eng. 1994;41:205–16.
Lee J, Kagamihara Y, Kakei S. Development of a quantitative evaluation system for motor control using wrist movements—an analysis of movement disorders in patients with cerebellar diseases. Rinsho Byori. 2007;55:912–21.
Lee J, Kagamihara Y, Kakei S. Quantitative evaluation of movement disorders in neurological diseases based on EMG signals. Conf Proc IEEE Eng Med Biol Soc 2008:181–4.
Mannard A, Stein RB. Determination of the frequency response of isometric soleus muscle in the cat using random nerve stimulation. J Physiol. 1973;229:275–96.
Shin D, Kim J, Koike Y. A myokinetic arm model for estimating joint torque and stiffness from EMG signals during maintained posture. J Neurophysiol. 2009;101:387–401.
Haruno M, Wolpert DM. Optimal control of redundant muscles in step-tracking wrist movements. J Neurophysiol. 2005;94:4244–55.
Charles SK, Hogan N. Dynamics of wrist rotations. J Biomech. 2011;44:614–21.
De Serres SJ, Milner TE. Wrist muscle activation patterns and stiffness associated with stable and unstable mechanical loads. Exp Brain Res. 1991;86:451–8.
Milner TE, Cloutier C. Damping of the wrist joint during voluntary movement. Exp Brain Res. 1998;122:309–17.
Kakei S, Hoffman DS, Strick PL. Muscle and movement representations in the primary motor cortex. Science. 1999;285:2136–9.
Gielen CC, Houk JC. Nonlinear viscosity of human wrist. J Neurophysiol. 1984;52:553–69.
Sinkjaer T, Hayashi R. Regulation of wrist stiffness by the stretch reflex. J Biomech. 1989;22:1133–40.
Halaki M, O’Dwyer N, Cathers I. Systematic nonlinear relations between displacement amplitude and joint mechanics at the human wrist. J Biomech. 2006;39:2171–82.
Gottlieb GL, Agarwal GC. Dependence of human ankle compliance on joint angle. J Biomech. 1978;11:177–81.
Hunter IW, Kearney RE. Dynamics of human ankle stiffness: variation with mean ankle torque. J Biomech. 1982;15:747–52.
Bennett DJ, Hollerbach JM, Xu Y, Hunter IW. Time-varying stiffness of human elbow joint during cyclic voluntary movement. Exp Brain Res. 1992;88:433–42.
Rijnveld N, Krebs HI Passive wrist joint impedance in flexion–extension and abduction–adduction. Int Conf Rehabil Robot 2007:43–47.
Bennett DJ. Torques generated at the human elbow joint in response to constant position errors imposed during voluntary movements. Exp Brain Res. 1993;95:488–98.
Hoffer JA, Andreassen S. Regulation of soleus muscle stiffness in premammillary cats: intrinsic and reflex components. J Neurophysiol. 1981;45:267–85.
Akazawa K, Milner TE, Stein RB. Modulation of reflex EMG and stiffness in response to stretch of human finger muscle. J Neurophysiol. 1983;49:16–27.
Beppu H, Suda M, Tanaka R. Analysis of cerebellar motor disorders by visually guided elbow tracking movement. Brain. 1984;107:787–809.
Mano N, Yamamoto K. Simple-spike activity of cerebellar Purkinje cells related to visually guided wrist tracking movement in the monkey. J Neurophysiol. 1980;43:713–28.
Coltz JD, Johnson MT, Ebner TJ. Cerebellar Purkinje cell simple spike discharge encodes movement velocity in primates during visuomotor arm tracking. J Neurosci. 1999;19:1782–803.
Acknowledgments
We thank Drs. Donna S. Hoffman, Steven Charles, Yasuharu Koike, Yutaka Sakaguchi, Eiichi Naito, Kazuo Tsuchiya, Koji Ito, Hiroaki Gomi, Yoshihisa Masakado, Junichi Ushiba, Yoshiaki Tsunoda, Yoshikatsu Hayashi, and Hiroshi Mitoma for their invaluable comments and discussions.
Funding
This research was supported by the Tokyo Metropolitan Institute of Medical Science and grants in aid from the Japan Science and Technology Agency and from the Ministry of Education, Culture, Sports, Science and Technology (No.14580784, No.15016008, No.16015212, No.20033029, No.21500319) to SK and (No.21700229) to JL.
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The authors have declared that no competing interests exist.
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Lee, J., Kagamihara, Y., Tomatsu, S. et al. The Functional Role of the Cerebellum in Visually Guided Tracking Movement. Cerebellum 11, 426–433 (2012). https://doi.org/10.1007/s12311-012-0370-x
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DOI: https://doi.org/10.1007/s12311-012-0370-x