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Volumn 89, Issue 2, 2003, Pages 126-138

A kinematic theory of rapid human movement. Part IV: A formal mathematical proof and new insights

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER TRANSFORMS; MATHEMATICAL MODELS; MUSCULOSKELETAL SYSTEM; NEUROLOGY; NEUROPHYSIOLOGY;

EID: 0141957922     PISSN: 03401200     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00422-003-0407-9     Document Type: Article
Times cited : (77)

References (65)
  • 1
    • 0037696771 scopus 로고
    • Contribution au développement d'une théorie de génération de mouvements simples et rapides: Application au manuscrit
    • Ph.D. thesis, École Polytechnique, Montréal
    • Alimi A (1995) Contribution au développement d'une théorie de génération de mouvements simples et rapides: application au manuscrit, Ph.D. thesis, École Polytechnique, Montréal
    • (1995)
    • Alimi, A.1
  • 2
    • 0142097810 scopus 로고
    • Analysis of the parameter dependence of handwriting generation models on movement characteristics
    • In: Faure C, Lorette G, Vinter A, Keuss P (eds); Europia, Paris
    • Alimi A, Plamondon R (1994) Analysis of the parameter dependence of handwriting generation models on movement characteristics. In: Faure C, Lorette G, Vinter A, Keuss P (eds) Advances in handwriting and drawing: a multidisciplinary approach. Europia, Paris, pp 363-378
    • (1994) Advances in Handwriting and Drawing: A Multidisciplinary Approach , pp. 363-378
    • Alimi, A.1    Plamondon, R.2
  • 3
    • 0012894732 scopus 로고    scopus 로고
    • A comparative study of speed/accuracy tradeoff formulations: The case of spatially constrained movements where both distance and spatial precision are specified
    • In: Simner M, Leedham G, Thomassen AJTWM (eds); IOS Press, Amsterdam
    • Alimi A, Plamondon R (1996) A comparative study of speed/accuracy tradeoff formulations: the case of spatially constrained movements where both distance and spatial precision are specified. In: Simner M, Leedham G, Thomassen AJTWM (eds) Handwriting and drawing research: basic and applied issues. IOS Press, Amsterdam, pp 127-142
    • (1996) Handwriting and Drawing Research: Basic and Applied Issues , pp. 127-142
    • Alimi, A.1    Plamondon, R.2
  • 4
    • 0022115986 scopus 로고
    • Kinematic features of unrestrained vertical arm movements
    • Atkeson CG, Hollerbach J (1985) Kinematic features of unrestrained vertical arm movements. Neuroscience 5: 2318-2330
    • (1985) Neuroscience , vol.5 , pp. 2318-2330
    • Atkeson, C.G.1    Hollerbach, J.2
  • 5
    • 0004720093 scopus 로고
    • Analysis of linear time-unvariant systems
    • McGraw-Hill, New York
    • Brown WM (1963) Analysis of linear time-unvariant systems. McGraw-Hill, New York
    • (1963)
    • Brown, W.M.1
  • 7
    • 0029593363 scopus 로고
    • Synchronisation between motor cortex and spinal motoneural pool during the performance of a maintained motor task in main
    • Conway BA, Halliday DM, Farmer SF, Shahani U, Maas P, Weir AI, Rosenberg JR (1995) Synchronisation between motor cortex and spinal motoneural pool during the performance of a maintained motor task in main. J Physiol Lond 489, 917-924
    • (1995) J Physiol Lond , vol.489 , pp. 917-924
    • Conway, B.A.1    Halliday, D.M.2    Farmer, S.F.3    Shahani, U.4    Maas, P.5    Weir, A.I.6    Rosenberg, J.R.7
  • 8
    • 0025044719 scopus 로고
    • Organizing principles for single-joint movements. IV. Implications for isometric contraction
    • Corcos DM, Agarwal GC, Flaherty BP, Gottlieb GL (1990) Organizing principles for single-joint movements. IV. Implications for isometric contraction. J Neurophysiol 64:1033-1042
    • (1990) J Neurophysiol , vol.64 , pp. 1033-1042
    • Corcos, D.M.1    Agarwal, G.C.2    Flaherty, B.P.3    Gottlieb, G.L.4
  • 9
    • 0003401818 scopus 로고
    • Lognormal distributions: Theory and applications
    • Marcel Dekker, New York
    • Crow EL, Shimizu K (1988) Lognormal distributions: theory and applications. Marcel Dekker, New York
    • (1988)
    • Crow, E.L.1    Shimizu, K.2
  • 10
    • 0011969962 scopus 로고    scopus 로고
    • Minimum principles in motor control
    • Engelbrecht SE (2001) Minimum principles in motor control. J Math Psychol 45:497-542
    • (2001) J Math Psychol , vol.45 , pp. 497-542
    • Engelbrecht, S.E.1
  • 11
    • 0021172966 scopus 로고
    • Blinking and associated eye movements in humans, guinea pigs and rabbits
    • Evinger D, Shaw MD, Peck CK, Manning KA, Baker R (1984) Blinking and associated eye movements in humans, guinea pigs and rabbits. J Neurophysiol 52:323-339
    • (1984) J Neurophysiol , vol.52 , pp. 323-339
    • Evinger, D.1    Shaw, M.D.2    Peck, C.K.3    Manning, K.A.4    Baker, R.5
  • 12
    • 34250943556 scopus 로고
    • Uber den zentralen Grenzwertsatz der Wahrscheinlichkeitsrechnung
    • Feller W (1935) Uber den zentralen Grenzwertsatz der Wahrscheinlichkeitsrechnung. Math Zeit 40:521-559
    • (1935) Math Zeit , vol.40 , pp. 521-559
    • Feller, W.1
  • 15
    • 46649087024 scopus 로고    scopus 로고
    • The information capacity of the human motor system in controlling the amplitude of the movement
    • Fitts PM (1954) The information capacity of the human motor system in controlling the amplitude of the movement. J Exp Psychol 47: 381-391
    • J Exp Psychol , vol.47 , pp. 381-391
    • Fitts, P.M.1
  • 16
    • 0026748467 scopus 로고
    • Two components of muscle activation: Scaling with the speed of arm movement
    • Flanders M, Herrmann U (1992) Two components of muscle activation: scaling with the speed of arm movement. J Neurophysiol 67:931-943
    • (1992) J Neurophysiol , vol.67 , pp. 931-943
    • Flanders, M.1    Herrmann, U.2
  • 17
    • 0022417008 scopus 로고
    • The coordination of arm movements: An experimentally confirmed mathematical model
    • Flash T, Hogan N (1985) The coordination of arm movements: An experimentally confirmed mathematical model. J Neurosci 5: 1688-1703
    • (1985) J Neurosci , vol.5 , pp. 1688-1703
    • Flash, T.1    Hogan, N.2
  • 18
    • 0020401276 scopus 로고
    • On the relations between the direction of two-dimensional arm movements and cell discharge in primate motor cortex
    • Georgopoulos AP, Kalaska JF, Caminiti R, Massey JT (1982) On the relations between the direction of two-dimensional arm movements and cell discharge in primate motor cortex. J Neurosci 2: 1527-1537
    • (1982) J Neurosci , vol.2 , pp. 1527-1537
    • Georgopoulos, A.P.1    Kalaska, J.F.2    Caminiti, R.3    Massey, J.T.4
  • 20
    • 0023203760 scopus 로고
    • Trajectory control in targeted force impulses. I. Role of opposing muscles
    • Ghez C, Gordon J (1987) Trajectory control in targeted force impulses. I. Role of opposing muscles. Exp Brain Res 67:225-240
    • (1987) Exp Brain Res , vol.67 , pp. 225-240
    • Ghez, C.1    Gordon, J.2
  • 21
    • 0022330319 scopus 로고
    • Relation between EMG activation patterns and kinematic properties of aimed arm movements
    • Gielen CCAM, van den Oosten K, van den Pull ter Gunne F (1985) Relation between EMG activation patterns and kinematic properties of aimed arm movements. J Mot Behav 17: 421-442
    • (1985) J Mot Behav , vol.17 , pp. 421-442
    • Gielen, C.C.A.M.1    Van Den Oosten, K.2    Van Den Pull Ter Gunne, F.3
  • 22
    • 0142129463 scopus 로고    scopus 로고
    • Accuracy and variability of the movement in Fitt's and Schimidt's laws
    • Goodmand SR (1997) Accuracy and variability of the movement in Fitt's and Schimidt's laws. Behav Brain Sci 20(2): 309-310
    • (1997) Behav Brain Sci , vol.20 , Issue.2 , pp. 309-310
    • Goodmand, S.R.1
  • 23
    • 0025255327 scopus 로고
    • Organizing principles for single-joint movements. I. A speed insensitive strategy as a default
    • Gottlibe GL, Corcos DM, Agarwal GC (1989) Organizing principles for single-joint movements. I. A speed insensitive strategy as a default. J Neurophysiol 63: 625-636
    • (1989) J Neurophysiol , vol.63 , pp. 625-636
    • Gottlibe, G.L.1    Corcos, D.M.2    Agarwal, G.C.3
  • 24
    • 0032106858 scopus 로고    scopus 로고
    • A new method for the analysis of simple and complex planar rapid movements
    • Guerfali W, Plamondon R (1998) A new method for the analysis of simple and complex planar rapid movements. J Neurosci Meth 82(1): 35-45
    • (1998) J Neurosci Meth , vol.82 , Issue.1 , pp. 35-45
    • Guerfali, W.1    Plamondon, R.2
  • 25
    • 33846897302 scopus 로고
    • Excitability and inhibility of motorneurons of different sizes
    • Henneman E, Somjen G, Carpenter DO (1965) Excitability and inhibility of motorneurons of different sizes. J Neurophysiol 28: 559-620
    • (1965) J Neurophysiol , vol.28 , pp. 559-620
    • Henneman, E.1    Somjen, G.2    Carpenter, D.O.3
  • 26
    • 0020316109 scopus 로고
    • Dynamic interactions between limb segments during planar arm movements
    • Hollerbach JM, Flash T (1982) Dynamic interactions between limb segments during planar arm movements. Biol Cybern 44: 67-77
    • (1982) Biol Cybern , vol.44 , pp. 67-77
    • Hollerbach, J.M.1    Flash, T.2
  • 27
    • 0032822129 scopus 로고    scopus 로고
    • Muscle and movement representations in the primary motor cortex
    • Kakei S, Hoffman DS, Strick PL (1999) Muscle and movement representations in the primary motor cortex. Science 285: 2136-2139
    • (1999) Science , vol.285 , pp. 2136-2139
    • Kakei, S.1    Hoffman, D.S.2    Strick, P.L.3
  • 28
    • 0024851756 scopus 로고
    • A kinematic comparison of single- and multi-joint pointing movements
    • Kaminski TR, Gentile AM (1989) A kinematic comparison of single- and multi-joint pointing movements. Exp Brain Res 78: 547-556
    • (1989) Exp Brain Res , vol.78 , pp. 547-556
    • Kaminski, T.R.1    Gentile, A.M.2
  • 29
    • 0006099383 scopus 로고    scopus 로고
    • A first course: Fourier analysis
    • Prentice-Hall, New York
    • Kammler DW (2000) A first course: Fourier analysis. Prentice-Hall, New York, p 81
    • (2000) , pp. 81
    • Kammler, D.W.1
  • 31
    • 0014519798 scopus 로고
    • The logarithm in biology. II. Distributions simulating the lognormal
    • Koch AL (1969) The logarithm in biology. II. Distributions simulating the lognormal. J Theor Biol 23: 251-268
    • (1969) J Theor Biol , vol.23 , pp. 251-268
    • Koch, A.L.1
  • 32
    • 0004260429 scopus 로고    scopus 로고
    • Neurophysiological basis of movement
    • Champaign, IL
    • Latash ML (1998) Neurophysiological basis of movement. Human Kinetics, Champaign, IL
    • (1998) Human Kinetics
    • Latash, M.L.1
  • 33
    • 0142034209 scopus 로고    scopus 로고
    • Flawed kinematic models cannot provide insight into the nature of motor variability
    • Latash ML, Schöner G (1997) Flawed kinematic models cannot provide insight into the nature of motor variability. Behav Brain Sci 20(2): 314-315
    • (1997) Behav Brain Sci , vol.20 , Issue.2 , pp. 314-315
    • Latash, M.L.1    Schöner, G.2
  • 35
    • 34250956889 scopus 로고
    • Eine neue Herleitung des Exponential-gesetzes in der Wahrscheinlichkeitsrechnung
    • Lindeberg JW (1922) Eine neue Herleitung des Exponential-gesetzes in der Wahrscheinlichkeitsrechnung. Math Zeit 15: 211-235
    • (1922) Math Zeit , vol.15 , pp. 211-235
    • Lindeberg, J.W.1
  • 36
    • 0000628380 scopus 로고
    • Functional relationship between grasp and transport components in a prehension task
    • Marteniuk RG, Leavitt JL, Mackenzie CL, Athenes S (1990) Functional relationship between grasp and transport components in a prehension task. Hum Mov Sci 9: 149-176
    • (1990) Hum Mov Sci , vol.9 , pp. 149-176
    • Marteniuk, R.G.1    Leavitt, J.L.2    Mackenzie, C.L.3    Athenes, S.4
  • 38
    • 0032717445 scopus 로고    scopus 로고
    • Motor cortical representation of speed and direction during reaching
    • Moran DW, Schwartz AB (1999) Motor cortical representation of speed and direction during reaching. J Neurophysiol 82: 2676-2704
    • (1999) J Neurophysiol , vol.82 , pp. 2676-2704
    • Moran, D.W.1    Schwartz, A.B.2
  • 39
  • 40
    • 0024571602 scopus 로고
    • Asymmetric velocity and acceleration profiles of human arm movements
    • Nagasaki H (1989) Asymmetric velocity and acceleration profiles of human arm movements. Exp Brain Res 74: 319-326
    • (1989) Exp Brain Res , vol.74 , pp. 319-326
    • Nagasaki, H.1
  • 41
    • 77956742585 scopus 로고
    • The speed-accuracy paradox in movement control: Errors of time and space
    • In: Stelmach G, Requin J (eds); Elsevier, North Holland, Amsterdam
    • Newell KM (1980) The speed-accuracy paradox in movement control: errors of time and space. In: Stelmach G, Requin J (eds) Tutorials in motor behavior. Elsevier, North Holland, Amsterdam, pp 501-510
    • (1980) Tutorials in Motor Behavior , pp. 501-510
    • Newell, K.M.1
  • 43
    • 0022363567 scopus 로고
    • On the relationship between peak force and peak force variability in isometric tasks
    • Newell KM, Carlton LG (1985) On the relationship between peak force and peak force variability in isometric tasks. J Mot Behav 17: 230-241
    • (1985) J Mot Behav , vol.17 , pp. 230-241
    • Newell, K.M.1    Carlton, L.G.2
  • 44
    • 0023241689 scopus 로고
    • Velocity curves of human arm and speech movements
    • Ostry DJ, Cooke JD, Munhall KG (1987) Velocity curves of human arm and speech movements. Exp Brain Res 68: 37-46
    • (1987) Exp Brain Res , vol.68 , pp. 37-46
    • Ostry, D.J.1    Cooke, J.D.2    Munhall, K.G.3
  • 45
    • 0003663467 scopus 로고
    • Probability, random variables and stochastic processes
    • McGraw-Hill, New York
    • Papoulis A (1965) Probability, random variables and stochastic processes. McGraw-Hill, New York
    • (1965)
    • Papoulis, A.1
  • 46
    • 0004098879 scopus 로고    scopus 로고
    • The Fourier integral and its applications
    • McGraw-Hill, New York
    • Papoulis A (1962) The Fourier integral and its applications. McGraw-Hill, New York
    • Papoulis, A.1
  • 47
    • 0027343873 scopus 로고
    • Modelling velocity profiles of rapid movements: A comparative study
    • Plamondon R, Alimi A, Yergeau P, Leclerc F (1993) Modelling velocity profiles of rapid movements: a comparative study. Biol Cybern 69(2): 119-128
    • (1993) Biol Cybern , vol.69 , Issue.2 , pp. 119-128
    • Plamondon, R.1    Alimi, A.2    Yergeau, P.3    Leclerc, F.4
  • 48
    • 0029194564 scopus 로고
    • A kinematic theory of rapid human movements, Part I: Movement representation and generation
    • Plamondon R (1995a) A kinematic theory of rapid human movements, Part I: Movement representation and generation. Biol Cybern 72(4): 295-307
    • (1995) Biol Cybern , vol.72 , Issue.4 , pp. 295-307
    • Plamondon, R.1
  • 49
    • 0029206628 scopus 로고
    • A kinematic theory of rapid human movements, Part II: Movement time and control
    • Plamondon R (1995b) A kinematic theory of rapid human movements, Part II: Movement time and control. Biol Cybern 72(4): 309-320
    • (1995) Biol Cybern , vol.72 , Issue.4 , pp. 309-320
    • Plamondon, R.1
  • 50
    • 0031468575 scopus 로고    scopus 로고
    • Speed/accuracy tradeoffs in target directed movements
    • Plamondon R, Alimi A (1997) Speed/accuracy tradeoffs in target directed movements. Behav Brain Sci 20(2): 279-349
    • (1997) Behav Brain Sci , vol.20 , Issue.2 , pp. 279-349
    • Plamondon, R.1    Alimi, A.2
  • 51
    • 0031989309 scopus 로고    scopus 로고
    • A kinematic theory of rapid human movements. Part III: Kinetic outcomes
    • Plamondon R (1998) A kinematic theory of rapid human movements. Part III: Kinetic outcomes. Biol Cybern 78: 133-145
    • (1998) Biol Cybern , vol.78 , pp. 133-145
    • Plamondon, R.1
  • 52
    • 0021721604 scopus 로고
    • Invariants in loaded goal-directed movements
    • Ruitenbeek JC (1984) Invariants in loaded goal-directed movements. Biol Cybern 51: 11-20
    • (1984) Biol Cybern , vol.51 , pp. 11-20
    • Ruitenbeek, J.C.1
  • 54
    • 0032719752 scopus 로고    scopus 로고
    • Motor cortical activity during drawing movements: Population representation during lemniscate tracing
    • Schwartz AB, Moran DW (1999) Motor cortical activity during drawing movements: population representation during lemniscate tracing. J Neurophysiol 82: 2705-2718
    • (1999) J Neurophysiol , vol.82 , pp. 2705-2718
    • Schwartz, A.B.1    Moran, D.W.2
  • 55
    • 0031037362 scopus 로고    scopus 로고
    • Comparison of onset time and magnitude of activity for proximal arm muscles and motor cortical cells before reaching movements
    • Scott SH (1997) Comparison of onset time and magnitude of activity for proximal arm muscles and motor cortical cells before reaching movements. J Neurophysiol 77: 1016-1022
    • (1997) J Neurophysiol , vol.77 , pp. 1016-1022
    • Scott, S.H.1
  • 56
    • 0001140857 scopus 로고    scopus 로고
    • Letter to the editor
    • Scott SH (2000) Letter to the editor. Nat Neurosci 3(10): 964-965
    • (2000) Nat Neurosci , vol.3 , Issue.10 , pp. 964-965
    • Scott, S.H.1
  • 57
    • 0021364358 scopus 로고
    • Effect of target size on spatial and temporal characteristics of a pointing movement
    • Soechting JC (1984) Effect of target size on spatial and temporal characteristics of a pointing movement. Exp Brain Res 54:121-132
    • (1984) Exp Brain Res , vol.54 , pp. 121-132
    • Soechting, J.C.1
  • 58
    • 0034029092 scopus 로고    scopus 로고
    • Direct cortical control of muscle activation in voluntary arm movements: A model
    • Todorov E (2000) Direct cortical control of muscle activation in voluntary arm movements: a model. Nat Neurosci 3(4): 391-398
    • (2000) Nat Neurosci , vol.3 , Issue.4 , pp. 391-398
    • Todorov, E.1
  • 59
    • 0142097809 scopus 로고    scopus 로고
    • On the role of primary motor cortex in arm movement control. Motor control III
    • Champaign, IL (in press)
    • Todorov E (2002) On the role of primary motor cortex in arm movement control. Motor control III. Human Kinetics, Champaign, IL (in press)
    • (2002) Human Kinetics
    • Todorov, E.1
  • 60
    • 0001782101 scopus 로고
    • Information processing models generating lognormally distributed reaction times
    • Ulrich R, Miller J (1993) Information processing models generating lognormally distributed reaction times. J Math Psychol 37: 513-525
    • (1993) J Math Psychol , vol.37 , pp. 513-525
    • Ulrich, R.1    Miller, J.2
  • 61
    • 0024314287 scopus 로고
    • Formation and control of optimal trajectory in human multijoint arm movement
    • Uno Y, Kawato M, Suzuki R (1989) Formation and control of optimal trajectory in human multijoint arm movement. Biol Cybern 61: 89-101
    • (1989) Biol Cybern , vol.61 , pp. 89-101
    • Uno, Y.1    Kawato, M.2    Suzuki, R.3
  • 62
    • 0030932272 scopus 로고    scopus 로고
    • A general model for the origin of allometric scaling laws in biology
    • West GB, Brown JH, Enquist BJ (1997) A general model for the origin of allometric scaling laws in biology. Science 276: 122-126
    • (1997) Science , vol.276 , pp. 122-126
    • West, G.B.1    Brown, J.H.2    Enquist, B.J.3
  • 63
    • 0033522952 scopus 로고    scopus 로고
    • The fourth dimension of life: Fractal geometry and allometric scaling of organisms
    • West GB, Brown JH, Enquist BJ (1999) The fourth dimension of life: fractal geometry and allometric scaling of organisms. Science 284: 1677-1679
    • (1999) Science , vol.284 , pp. 1677-1679
    • West, G.B.1    Brown, J.H.2    Enquist, B.J.3


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