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Discrete and cyclical units of action in a mixed target pair aiming task

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Abstract

Two experiments addressed the issue of discrete and cyclical units as possible basic units of action that might be used to construct complex actions based on task constraints. The experiments examined the influence of low and high accuracy constraints on the end-effector's motion in rhythmical aiming movements. Both experiments utilized a Fitts-type task under three accuracy constraints: (1) big target pairing—low index of movement difficulty (ID), (2) small target pairing—high ID, and (3) mixed target pairing—one target high ID and the other target low ID. Experiment I was a 1-degree-of-freedom (df) task that required subjects to crossover the inside edge of targets in a target pair using elbow flexion–extension motions. Experiment II used a 2-df task that required subjects to tap back and forth between targets in a target pair using a hand-held stylus. In both experiments, end-effector motion in the low ID condition was cyclical with the end-effector's motion consistent with a limit-cycle attractor description, while in the high ID condition end-effector motion was discrete and consistent with a fixed-point attractor description. The mixed target pairing produced both discrete and cyclical features in the end-effector's dynamics that suggested a functional linking of discrete and cyclical units of action as the optimal movement solution. Evidence supporting the above statements was found in the kinematic measures of movement time (MT), dwell time, proportion of MT accelerating and decelerating, and in a measure of harmonicity (Guiard 1993, Acta Psychol 82:139–159; Guiard 1997, Hum Mov Sci 16:97–131). Extended practice in the mixed target condition revealed a bias towards cyclical motion with practice. The results demonstrate that discrete and cyclical motion, represented as limit-cycle and fixed-point attractors, are basic units of action that the motor system uses in constructing more complex action sequences. The results are discussed with reference to coordinative structures and the generalized motor program as basic units of action. Issues pertaining to visual feedback processing and movement braking in rapid aiming tasks are also discussed.

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References

  • Abend W, Bizzi E, Morasso P (1982) Human arm trajectory formation. Brain 105:331–348

    CAS  PubMed  Google Scholar 

  • Adam JJ (1992) The effects of objectives and constraints on motor control strategy in reciprocal aiming movements. J Mot Behav 24:173–185

    Google Scholar 

  • Adam JJ, Paas FGWC (1996) Dwell time in reciprocal aiming tasks. Hum Mov Sci 15:1–24

    Article  Google Scholar 

  • Adam JJ, Paas FGWC, Eyssen ICJM, Slingerland H, Bekkering H, Drost M (1995) The control of two-element, reciprocal aiming movements: evidence for chunking. Hum Mov Sci 14:1–11

    Article  Google Scholar 

  • Adam JJ, Nieuwenstein JH, Huys R, Paas FGWC, Kingma H, Willems P, Werry M (2000) Control of rapid aimed hand movements: the one-target advantage. J Exp Psychol Hum Percept Perform 26:295–312

    Article  CAS  PubMed  Google Scholar 

  • Adamovich SV, Levin MF, Feldman AG (1994) Merging different motor patterns: coordination between rhythmical and discrete single-joint movements. Exp Brain Res 99:325–337

    CAS  PubMed  Google Scholar 

  • Amazeen PG (2002) Is dynamics the content of a generalized motor program for rhythmic interlimb coordination. J Mot Behav 34:233–251

    Google Scholar 

  • Beek PJ, Beek WJ (1988) Tools for constructing dynamical models of rhythmic movement. Hum Mov Sci 7:301–342

    Article  Google Scholar 

  • Bizzi E, Hogan N, Mussa-Ivaldi FA, Giszter S (1992) Does the nervous system use equilibrium-point control to guide single and multiple joint movements. Behav Brain Sci 15:603–613

    Google Scholar 

  • Crossman ERFW, Goodeve PJ (1963) Feedback control of hand-movement and Fitts' law. Q J Exp Psychol 35A:251–278

    Google Scholar 

  • Cullen JD, Helsen WF, Buekers MJ, Hesketh KL, Starkes JL, Elliott D (2001) The utilization of visual information in the control of reciprocal aiming movements. Hum Mov Sci 20:807–828

    Article  CAS  PubMed  Google Scholar 

  • de Guzman GD, Kelso JAS, Buchanan JJ (1997) Self-organization of trajectory formation. Biol Cybern 76:275–284

    PubMed  Google Scholar 

  • Elliott D, Helsen WF, Chua R (2001) A century later: Woodworth's (1899) two-component model of goal-directed aiming. Psychol Bull 127:342–357

    Article  CAS  PubMed  Google Scholar 

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

    Google Scholar 

  • Fischman MG, Lim C-L (1991) Influence of extended practice on programming time, movement time, and transfer in simple target-striking responses. J Mot Behav 23:39–50

    Google Scholar 

  • Fitts PM (1954) The information capacity of the human motor system in controlling the amplitude of movement. J Exp Psychol 47:381–391

    Google Scholar 

  • Guiard Y (1993) On Fitts's and Hooke's laws: simple harmonic movement in upper-limb cyclical aiming. Acta Psychol (Amst) 82:139–159

    Google Scholar 

  • Guiard Y (1997) Fitts' law in the discrete vs. cyclical paradigm. Hum Mov Sci 16:97–131

    Article  Google Scholar 

  • Haken H, Kelso JAS, Bunz H (1986) A theoretical model of phase transitions in human hand movements. Biol Cybern 51:347–356

    Google Scholar 

  • Heath M, Hodges NJ, Chua R, Elliot D (1998) On-line control of rapid aiming movements: unexpected target perturbations and movement kinematics. Can J Exp Psychol 52:163–173

    Google Scholar 

  • Kay BA, Kelso JAS, Saltzman EL, Schöner G (1987) Space-time behavior of single and bimanual rhythmical movements: data and limit cycle model. J Exp Psychol Hum Learn 13:178–192

    CAS  Google Scholar 

  • Keele SW (1968) Movement control in skilled motor performance. Psychol Bull 70:387–403

    Google Scholar 

  • Kelso JAS (1992) Theoretical concepts and strategies for understanding perceptual-motor skill: from information capacity in closed systems to self-organization in open, nonequilibrium systems. J Exp Psychol Gen 121:260–262

    Article  CAS  PubMed  Google Scholar 

  • Kelso JAS (1994) The informational character of self-organized coordination dynamics. Hum Mov Sci 13:393–413

    Article  Google Scholar 

  • Kelso JAS (1995) Dynamic patterns: the self-organization of brain and behavior. MIT Press, Cambridge MA

    Google Scholar 

  • Kelso JAS, Southard DL, Goodman D (1979a) On the coordination of two-handed movements. J Exp Psychol Hum Percept Perform 5:229–238

    CAS  PubMed  Google Scholar 

  • Kelso JAS, Southard DL, Goodman D (1979b) On the nature of human interlimb coordination. Science 203:1029–1031

    PubMed  Google Scholar 

  • Kugler PN, Kelso JAS, Turvey MT (1980) On the concept of coordinative structure as dissipative structures. I. Theoretical lines of convergence. In: Stelmach GE, Requin J (eds) Tutorials in motor behavior. North-Holland, New York, pp 1–47

  • Lajoie JM, Franks IM (1997) Response programming as a function of accuracy and complexity: evidence from latency and kinematic measures. Hum Mov Sci 16:485–505

    Article  Google Scholar 

  • Lee DN, Young PE, Lough S, Clayton THM (1983) Visual timing in hitting an accelerating ball. Q J Exp Psychol A 35: 333–346

    PubMed  Google Scholar 

  • Meyer DE, Kornblum S, Abrams RA, Wright CE, Smith JEK (1988) Optimality in human motor performance: Ideal control of rapid aimed movements. Psychol Rev 95:340–370

    CAS  PubMed  Google Scholar 

  • Mottet D, Bootsma RJ (1999) The dynamics of goal-directed rhythmical aiming. Biol Cybern 80:235–245

    Article  CAS  PubMed  Google Scholar 

  • Mottet D, Bootsma RJ (2001) The dynamics of rhythmical aiming in 2D task space: relation between geometry and kinematics under examination. Hum Mov Sci 20:213–241

    Article  CAS  PubMed  Google Scholar 

  • Nelson WL (1983) Physical principles for economics of skilled movement. Biol Cybern 46:135–147

    CAS  PubMed  Google Scholar 

  • Plamondon R, Alimi AM (1997) Speed/accuracy trade-offs in target-directed movements. Behav Brain Sci 20:279–349

    CAS  PubMed  Google Scholar 

  • Pohl PS, Winstein CJ (1998) Age-related effects on temporal strategies to speed motor performance. J Aging and Physical Activity 6:45–61

    Google Scholar 

  • Pratt J, Chasteen AL, Abrams RA (1994) Rapid aimed limb movements: age differences and practice effects in component submovements. Psychol Aging 9:325–344

    CAS  PubMed  Google Scholar 

  • Proteau L, Masson G (1997) Visual perception modifies goal-directed movement control: supporting evidence from a visual perturbation paradigm. Q J Exp Psychol A 50: 726–741

    Article  CAS  PubMed  Google Scholar 

  • Rand MK, Stelmach GE (2000) Segment interdependency and difficulty in two-stroke sequences. Exp Brain Res 134:228–236

    PubMed  Google Scholar 

  • Rand MK, Alberts JL, Stelmach GE (1997) The influence of movement segment difficulty on movements with two-stroke sequence. Exp Brain Res 115:137–146

    PubMed  Google Scholar 

  • Ricker KL, Elliott D, Lyons J, Gauldie D, Chua R, Byblow W (1999) The utilization of visual information in the control of rapid sequential aiming movements. Acta Psychol (Amst) 103:103–123

    Google Scholar 

  • Rosenbaum DA (1991) Human Motor Control. Academic Press, San Diego

  • Schmidt RA, Zelaznik HN, Hawkins B, Frank JS, Quinn JT (1979) Motor output variability: a theory for the accuracy of rapid movement acts. Psychol Rev 86:415–451

    Article  Google Scholar 

  • Schmidt RA, Heuer H, Ghodsian D, Young DE (1998) Generalized motor programs and units of action in bimanual coordination. In: Latash ML (ed) Bernstein traditions II. Human kinetics, Champaign IL, pp 329–360

  • Schöner G (1990) A dynamic theory of coordination of discrete movement. Biol Cybern 63:257–270

    PubMed  Google Scholar 

  • Sidaway B, Sekiya H, Fairweather M (1995) Movement variability as a function of accuracy demand in programmed serial aiming responses. J Mot Behav 27:67–76

    Google Scholar 

  • Smith WM, Bowen KF (1980) The effects of delayed and displaced visual feedback on motor control. J Mot Behav 12:91–101

    Google Scholar 

  • Smyrnis N, Evdokimidis I, Constantinidis TS, Kastrinakis G (2000) Speed-accuracy trade-off in the performance of pointing movements in different directions in two-dimensional space. Exp Brain Res 134:21–31

    CAS  PubMed  Google Scholar 

  • Staude G, Dengler R, Wolf W (2002) The discontinuous nature of motor execution II. Merging discrete and rhythmic movements in a single joint system—the phase entrainment effect. Biol Cybern 86:427–443

    Article  CAS  PubMed  Google Scholar 

  • Sternad D, Dean WJ, Schaal S (2000) Interaction of rhythmic and discrete pattern generators in single-joint movements. Hum Mov Sci 19:627–664

    Article  Google Scholar 

  • Turvey MT (1990) Coordination. Am Psychol 45:938–953

    CAS  PubMed  Google Scholar 

  • Zelaznik HN, Hawkins B, Kisselburgh L (1983) Rapid visual feedback processing in single-aiming movements. J Mot Behav 17:217–236

    Google Scholar 

Download references

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Correspondence to John J. Buchanan.

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Buchanan, J.J., Park, JH., Ryu, Y.U. et al. Discrete and cyclical units of action in a mixed target pair aiming task. Exp Brain Res 150, 473–489 (2003). https://doi.org/10.1007/s00221-003-1471-z

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