Skip to main content
Log in

Late agnoist activation burst (PC) required for optimal head movement: A simulation study

  • Published:
Biological Cybernetics Aims and scope Submit manuscript

Abstract

Fast as possible (time optimal) single joint movements throughout the body are characterized by the triphasic (3 pulse) pattern of activation in the agonist and antagonist muscles. Simulation studies using a sixth order, non-linear model were undertaken to determine the relationship between time optimal movement and three pulse control. Exhaustive exploration of the multidimensional space formed by descriptive parameters of the control signal yielded control signals which drove the model to produce optimal movements. The result of these one to two week computer simulation runs was that if the limb is required to stay close to the target immediately after the end of the control signal, the fastest movements are produced by a three pulse control signal.

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

  • Angel RW (1977) Antagonist muscle activity during rapid arm movements: central vs proprioceptive influences. J Neurol Neurosurg Psychiatry 40:683–686

    Google Scholar 

  • Bellman R (1965) Dynamic programming. Princeton University Press, Princeton

    Google Scholar 

  • Bizzi E, Kalil RE, Morasso P, Tagliasco V (1972) Central programming and peripheral feedback during eye-head coordination in monkeys. Bibl Opthalmol 82:220–232

    Google Scholar 

  • Bizzi E, Dev P, Morasso P, Polit A (1978) Effect of load disturbances during centrally initiated movements. J Neurophysiol 41:542–556

    Google Scholar 

  • Clark MA, Stark L (1975) Time optimal behavior of human saccadic eye movement. IEEE Trans Autom Control AC-20:345–348

    Google Scholar 

  • Feldman AG (1986) Once more on the equilibrium-point hypothesis (model) for motor control. J Motor Behav 18:17–54

    Google Scholar 

  • Gauthier GM, Martin B, Stark L (1981) Effect of inertial loads on head-eye movements. In: Proceedings OMS 81. California Institute of Technology, Pasadena, Calif

    Google Scholar 

  • Ghez C, Martin JH (1982) Control of rapid limb movement in the cat. III. Agonist-antagonist coupling. Exp Brain Res 45:115–125

    Google Scholar 

  • Hallett M, Marsden CD (1979) Ballistic flexion movements of the human thumb. J Physiol 294:33–50

    Google Scholar 

  • Hallett M, Marsden CD (1981) Physiology and pathophysiology of the ballistic movement pattern. Prog Clin Neurophys 9:331–346

    Google Scholar 

  • Hannaford B (1985) Control of fast movement: human head rotation. Ph. D. Thesis. Department of Electrical Engineering and Computer Science, University of California, Berkeley

  • Hannaford B, Lehman S (1986) Short time fourier analysis of the electromyogram: fast movements and constant contraction. IEEE Trans Biomed Eng BME-33:1173–1181

    Google Scholar 

  • Hannaford B, Stark L (1985) Roles of the elements of the triphasic control signal. Exp Neurol 90:619–634

    Google Scholar 

  • Hannaford B, Maduel R, Nam MH, Lakshminarayanan V, Stark L (1983) Effects of loads on time-optimal head movements: EMG, oblique, and main sequence relationships. In: Proceedings of the 19th Annual Conference on Manual Control. Cambridge, Mass

  • Hannaford B, Nam MH, Lakshminarayanan V, Stark L (1984) EMG as controller signal with viscous load. J Motor Behav 16:255–274

    Google Scholar 

  • Hannaford B, Kim WS, Lee SH, Stark L (1986a) Neurological control of head movements: inverse modeling and electromyographic evidence. Math Biosci 78:159–178

    Google Scholar 

  • Hannaford B, Martin B, Stark L (1986b) Effects of unpredictable tendon vibration on time optimal head movements in humans. (in preparation)

  • Kalman RE (1964) When is a linear control system optimal? Trans ASME J Bas Eng 86D:51–60

    Google Scholar 

  • Lehman S, Stark L (1979) Simulation of linear and nonlinear eye movement models: sensitivity analysis and enumeration studies of time optimal control. J Cybern Inf Sci 4:21–43

    Google Scholar 

  • Lehman S, Stark L (1982) Three algorithms for interpreting models consisting of ordinary differential equations: sensitivity coefficients, sensitivity functions, global optimization. Math Biosci 62:107–122

    Google Scholar 

  • Lestienne F (1979) Effects of inertial load and velocity on the braking process of voluntary limb movements. Exp Brain Res 35:407–418

    Google Scholar 

  • Meinck H-M, Benecke R, Meyer W, Hohne J, Conrad B (1984) Human ballistic finger flexion: uncoupling of the three-burst pattern. Exp Brain Res 55:127–133

    Google Scholar 

  • Pontryagin LS, Boltyanskii VC Camkrendze RV, Mischenko EF (1962) The mathematical theory of optimal processes. Wiley, New York

    Google Scholar 

  • Ramos CF, Stark L (1985) Analysis of the neurological control strategies for time optimal movements. J Motor Behav (Submitted)

  • Reber JG, Goldsmith W (1979) Analysis of large head-neck motions. J Biomech 12:211–222

    Google Scholar 

  • Sanes JN, Jennings VA (1984) Centrally programmed patterns of muscle activity in voluntary motor behavior in humans. Exp Brain Res 54:23–32

    Google Scholar 

  • Sheridan TB (1966) Three models of preview control. IEEE Trans Hum Factors Electron HFE-7:91–102

    Google Scholar 

  • Stark L (1983) Eye-head coordination: neurological control of active gaze. In: Space physiology, vol Proceedings of a Centre National d'Etudes Spatiales Conference. Cepadues Editions, Toulouse, pp 63–75

    Google Scholar 

  • Stark L, Zangemeister WH, Hannaford B, Kunze K (1986) Use of models of brainstem reflexes for clinical research. In: Clinical problems of brainstem disorders. Thieme, Stuttgart New York

    Google Scholar 

  • Viviani P, Berthoz A (1975) Dynamics of the head-neck system in response to small perturbations: analysis and modeling in the frequency domain. Biol Cybern 19:19–37

    Google Scholar 

  • Wachholder K, Altenburger H (1926) Beitrage zur Physiologie der willkürlichen Bewegung. Pfluegers Arch Ges Physiol 214:642–661

    Google Scholar 

  • Wierzbicka MM, Wiegner AW, Shahani BT (1985) Simulated ballistic movements. Proc Soc Neurosc 11:72 (abstr)

    Google Scholar 

  • Winters JM (1985) Generalized analysis and design of antagonistic muscle models: effect of nonlinear properties on the control of human movement. Ph. D. Dissertation, University of California, Berkeley

  • Winters J, Goldsmith W (1985) Response of an advanced headneck model to transient loading. J Biomech Eng 105:63–70, 196–197

    Google Scholar 

  • Winters J, Stark L (1985) Analysis of fundamental movement patterns through the use of in-depth antagonistic muscle models. IEEE Trans Biomed Eng BME-32:826–839

    Google Scholar 

  • Zangemeister WH, Stark L (1982) Understanding dynamics and control of normal and abnormal head movements by use of a parameterized head movement model. IEEE Trans Biomed Soc 82CH1729-3:468–473

    Google Scholar 

  • Zangemeister WH, Stark L (1983) Pathological types of eye and head gaze-coordination in neurological disorders. Neuroophthalmol 3:259–276

    Google Scholar 

  • Zangemeister WH, Jones A, Stark L (1981) Dynamics of head movement trajectories: main sequence relationship. Exp Neurol 71:76–91

    Google Scholar 

  • Zangemeister WH, Lehman S, Stark L (1981a) Simulation of head movement trajectories: model and fit to main sequence. Biol Cybern 41:19–32

    Google Scholar 

  • Zangemeister WH, Lehman S, Stark L (1981b) Sensitivity analysis and optimization for a head movement model. Biol Cybern 41:33–45

    Google Scholar 

  • Zangemeister WH, Stark L, Meienberg O, Waite T (1982) Neurological control of head rotations: electromyographic evidence. J Neurol Sci 55:1–14

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hannaford, B., Stark, L. Late agnoist activation burst (PC) required for optimal head movement: A simulation study. Biol. Cybern. 57, 321–330 (1987). https://doi.org/10.1007/BF00338824

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00338824

Keywords

Navigation