Skip to main content
Log in

Physical principles for economies of skilled movements

  • Published:
Biological Cybernetics Aims and scope Submit manuscript

Abstract

This paper presents some elementary principles regarding constraints on movements, which may be useful in modeling and interpreting motor control strategies for skilled movements. Movements which are optimum with respect to various objectives, or “costs”, are analyzed and compared. The specific costs considered are related to movement time, distance, peak velocity, energy, peak acceleration, and rate of change of acceleration (jerk). The velocity patterns for the various minimum cost movements are compared with each other and with some skilled movement patterns. The concept of performance trade-offs between competing objectives is used to interpret the distance-time relationships observed in skilled movements. Examples of arm movements during violin bowing and jaw movements during speech are used to show how skilled movements are influenced by considerations of physical economy, or “ease”, of movement. Minimum-cost solutions for the various costs, which include the effect of frictional forces, are given in Appendices.

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

  • Athans, M.: The status of optimal control theory and applications for deterministic systems. IEEE Trans. AC-11 580–596 (1966)

    Google Scholar 

  • Bryson, A.E., Ho, Y.C.: Applied optimal control. Waltham, MA: Blaisdell Publ. Co. 1969

    Google Scholar 

  • Fujimura, O., Kiritani, S., Ishida, H.: Computer-controlled radiography for observation of articulatory and other human organs. Comput. Biol. Med. 3, 371–384 (1973)

    Google Scholar 

  • Hatze, H.: A general myocybernetic control model of skeletal muscle. Biol. Cybern. 28, 143–157 (1978)

    Google Scholar 

  • Hatze, H., Buys, J.D.: Energy-optimal controls in the mammalian neuromuscular system. Biol. Cybern. 27, 9–20 (1977)

    Google Scholar 

  • Hogan, N.: Adaptive control of natural joint stiffness by antagonist muscles. IEEE Trans. AC (1982a) (in press)

  • Hogan, N.: A minimum-jerk description of voluntary movements. J. Neurosci. (1982b) (submitted)

  • Houk, J.C.: Participation of reflex mechanisms and reaction time processes in the compensatory adjustments to mechanical disturbances. In: New developments in electromyography and elinical neurology, Desmond (ed.), Vol. 4. Basel: Karger 1978

    Google Scholar 

  • Kiritani, S., Itoh, K., Fujimura, O.: Tongue-pellet tracking by a computer controlled X-ray microbeam system. J. Acoust. Soc. Am. 57, No. 6, Part II (1975)

  • Lee, E.B.: A sufficient condition in the theory of optimal control. J. SIAM Control 1, 241–245 (1963)

    Google Scholar 

  • Mason, P.: Dynamic stiffness and crossbridge action in muscle. Biophys. Struct. Mech. 4, 15–29 (1978)

    Google Scholar 

  • Miller, J.E.: Graphic analysis of bow stroke measurements. Second Symp. on Psychophysics of Musical Performance, Montclair St. Col., Montclair, NJ (1978)

  • Nelson, W.L.: Performance bounds in speech motor control of jaw movements. J. Acoust. Soc. Am. A 68, S32 (1980)

  • Neustadt, L.W.: Minimum effort control systems. J. SIAM on Control, 1, 16–31 (1963)

    Google Scholar 

  • Pontryagin, L.S., Boltyanskii, V.G., Gamkredligze, R.W., Mishchenko, E.F.: The mathematical theory of optimal processes. New York: Wiley 1962

    Google Scholar 

  • Zukofsky, P.: Arm movements in skilled violin playing. Paper presented at Psychonomic Society 22nd Annual Meeting, Philadelphia, PA (1981)

Download references

Author information

Authors and Affiliations

Authors

Additional information

This paper is based on a talk given at the Engineering Foundation Conference on Modeling in Neuromuscular Systems, Santa Barbara, CA, January 18–22, 1982

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nelson, W.L. Physical principles for economies of skilled movements. Biol. Cybern. 46, 135–147 (1983). https://doi.org/10.1007/BF00339982

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00339982

Keywords

Navigation