Skip to main content
Log in

Modeling of a simple motor task in man: intentional arrest of an ongoing movement

  • Published:
Kybernetik Aims and scope Submit manuscript

Abstract

Normal subjects and cerebellar patients were instructed to arrest “as soon as possible” a ballistically initiated flexion movement of the forearm. The intentional actions consist essentially of a downward torque, the peak value of which has almost a constant latency (about 200 msec) from the beginning of the movement. A variable number of oscillations precede the arrest of the movement, the characteristics of which depend on the initial velocity of the flexion and on the mass with which the forearm is loaded. The motor commands responsible for the intentionally produced downward torque are controlled centrally as to leave the ratio between the peak values of the angular velocity which precede and follow the peak of the torque almost constant, under all conditions. To describe the oscillations a simple analytical model was proposed which includes the mechanical as well as the reflex factors, the latter under the form of a delayed velocity term. The satisfactory fitting of this model to the experimental findings permitted to establish the following points:

  1. 1.

    The oscillations are sustained by both a mechanical and a reflex stiffness. The contribution of the reflex loop is however quantitatively dominant since it accounts for about 75% of the inertial torque. It is fairly constant over the range of frequency of the oscillations considered.

  2. 2.

    Under the imposed experimental conditions angular velocity appears to be the parameter of the movement which is predominantly sensed and fed back by the reflex loop.

Data were also presented on the performance of the motor task by patients who underwent surgical ablations of the cerebellar cortex. Comparison of these results with those of normal subjects strongly supports the hypothesis that cerebellar-related activities are instrumental in determining the sensitivity of the stretch reflex to angular velocity.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bessou,P., Laporte,Y., Pagès,B.: Frequencygrams of spindle primary endings elicited by stimulation of static and dynamic fusimotor fibers. J. Physiol. (Lond.) 196, 47–63 (1968)

    Google Scholar 

  2. Bouckaert,J.P., Capellen,L., de Blende,J.: The viscoelastic properties of frog's muscle. J. Physiol. (Lond.) 69, 473–492 (1930)

    Google Scholar 

  3. Braune,W., Fischer,O.: Die Rotationsmomente der Beugemuskeln am Ellbogengelenk des Menschen. Abhandl. K. S. Ges. Wissensch. 26, 245–310 (1889)

    Google Scholar 

  4. Buchthal,F., Kaiser,E.: Factors determining tension development in skeletal muscle. Acta physiol. scand. 8, 38–74 (1944)

    Google Scholar 

  5. Buchthal,F., Schmalbruch,H.: Contraction times and fiber types in intact human muscle. Acta physiol. scand. 79, 435–452 (1970)

    Google Scholar 

  6. Crowe,A., Matthews,P.B.C.: The effects of stimulations of static and dynamic fusimotor fibers on the response to stretching of the primary endings of muscle spindle. J. Physiol. (Lond.) 174, 109–131 (1964)

    Google Scholar 

  7. Dijkstra,Sj, Denier van der Gon,J.J.: An analog computer study of fast, isolated movements. Kybernetik 12, 102–110 (1973)

    Google Scholar 

  8. Fenn,W.O., Garvey,P.H.: The measurement of the elasticitiy and viscosity of skeletal muscle in normal and pathological cases; a study of so-called “muscle tonus”. J. clin. Invest. 13, 383–397 (1934)

    Google Scholar 

  9. Granit,R.: The basis of motor control. London: Academic Press 1970

    Google Scholar 

  10. Hill,A.V.: The maximum work and mechanical efficiency of human muscles, and their most economical speed. J. Physiol. (Lond.) 56, 19–41 (1922)

    Google Scholar 

  11. Houk,J.C., Singer,J.J., Goldman,M.R.: An evaluation of length and force feedback to soleus muscle of decerebrate cats. J. Neurophysiol. 33, 784–811 (1970)

    Google Scholar 

  12. Inbar,G.F., Hsia,T.C., Baskin,R.J.: Parameter identification analysis of muscle dynamics. Math. Biosciences 7, 61–79 (1970)

    Google Scholar 

  13. Lennerstrand,G., Thoden,U.: Muscle spindle responses to concomitant variations in length and in fusimotor activation. Acta physiol. scand. 74, 153–165 (1968)

    Google Scholar 

  14. Lippold,O.C.J.: Oscillation in the stretch reflex arc and the origin of the rhythmical, 8–12 c/s component of physiological tremor. J. Physiol. (Lond.) 206, 359–382 (1969)

    Google Scholar 

  15. Matthews,P.B.C., Stein,R.B.: The sensitivity of muscle spindles afferents to small sinusoidal changes of length. J. Physiol. (Lond.) 200, 723–743 (1969)

    Google Scholar 

  16. McKean,T.A., Poppele,R.E., Rosenthal,N.P., Terzuolo,C.A.: The biologically relevant parameter in nerve impulse trains. Kybernetik 6, 168–170 (1970)

    Google Scholar 

  17. Partridge,L.D.: Modification of neuronal output signals by muscles: A frequency response study. J. appl. Physiol. 20, 150–156 (1965)

    Google Scholar 

  18. Partridge,L.D.: Interrelationships studied in a semibiological reflex. Amer. J. Physiol. 223, 144–158 (1972)

    Google Scholar 

  19. Perret,C., Berthoz,A.: Evidence of static and dynamic fusimotor actions on the spindle response to sinusoidal stretch during locomotor activity in the cat. Exp. Brain Res. (in press)

  20. Pertuzon,E.: La contraction musculaire dans le movement volontaire maximal. Thése: Universitè des Sciences et Techniques de Lille, 1972

  21. Poppele,R. E., Bowman,R. J.: Quantitative description of linear behavior of mammalian muscle spindle. J. Neurophysiol. 33, 59–72 (1970)

    Google Scholar 

  22. Poppele,R. E., Terzuolo,C. A.: Myotatic reflex: Its input output relation. Science 159, 743–745 (1968)

    Google Scholar 

  23. Richalet,J., Pouliquen,R.: Étude des réponses à des perturbations du maintien postural: simulation analogique. J. Physiol., (Paris) 58, 602 (1966)

    Google Scholar 

  24. Roberts,W.J.: Tendon organ function. Brain Res. 28, 345–350 (1971)

    Google Scholar 

  25. Roberts,W.J., Rosenthal,N.P., Terzuolo,C.A.: A control model of stretch reflex. J. Neurophysiol. 34, 620–634 (1971)

    Google Scholar 

  26. Rosenthal,N.P., McKean,T.A., Roberts,W.J., Terzuolo,C.A.: Frequency analysis of stretch reflex and its main subsystems in triceps surae muscles of the cat. J. Neurophysiol. 33, 713–749 (1970)

    Google Scholar 

  27. Soechting,J.F.: Modeling of a simple motor task in man. Motor output dependence on sensory inputs. Kybernetik 14, 25–34 (1973)

    Google Scholar 

  28. Soechting,J.F., Roberts,W.J.: Transfer characteristics between EMG activity and isometric muscle tension in man (submitted for publication)

  29. Soechting,J.F., Stuart,P.A., Hawley,R.M., Paslay,P.R., Duffy,J.: Evaluation of neuromuscular parameters describing human reflex motion. ASME Paper No. 71-WA/Aut-7, 1971

  30. Tabary,C, Tardieu,C., Tardieu,G., Chantraine,A.: Étude cinématographique et électromyographique du maintien postural avec changement de charge. J. Physiol. (Paris) 57, 799–810 (1965)

    Google Scholar 

  31. Terzuolo,C.A., Viviani,P.: Movement's parameters and EMG activities during some simple motor tasks in normal subjects and cerebellar patients. In: “Cerebellum, Epilepsy and Behavior” London: Pergamon Press (in press)

  32. Viviani,P., Soechting,J.F., Terzuolo,C.A.: Influence of mechanical properties in the relation between EMG activity and torque (submitted for publication)

  33. Wilkie,D.R.: The relation between force and velocity in human muscle. J. Physiol. (Lond.) 110, 249–280 (1950)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Viviani, P., Terzuolo, C.A. Modeling of a simple motor task in man: intentional arrest of an ongoing movement. Kybernetik 14, 35–62 (1973). https://doi.org/10.1007/BF00290293

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00290293

Keywords

Navigation