Mathematical models of central pattern generators in locomotion: I. Current problems.

As a background for subsequent studies of mathematical models of central pattern generators in locomotion (Stafford & Barnwell, 1985a, b) relevant aspects of the literature on locomotion are reviewed, concepts of locomotion discussed, and extant models considered. Advantages and disadvantages of present models are discussed, and the need for mathematical models is emphasized. It is shown that realistic models of pattern generation in locomotion must take numerous factors into account, including phases of step cycle, muscle sequencing, gait and interlimb coordination, initiation and cessation of locomotion, and many aspects of neuromuscular control and function.

[1]  G. Orlovsky,et al.  Activity of interneurons mediating reciprocal 1a inhibition during locomotion , 1975, Brain Research.

[2]  P. Stein Neural Control of Interappendage Phase During Locomotion , 1974 .

[3]  T. Brown,et al.  The Phenomenon of "Narcosis Progression" in Mammals , 1913 .

[4]  J. Halbertsma,et al.  Basic Programs for the Phasing of Flexion and Extension Movements of the Limbs during Locomotion , 1976 .

[5]  G M Barnwell,et al.  Mathematical models of central pattern generators in locomotion: III. Interlimb model for the cat. , 1985, Journal of motor behavior.

[6]  P. Holmes,et al.  The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: A mathematical model , 1982, Journal of mathematical biology.

[7]  S. Grillner,et al.  Peripheral control of the cat's step cycle. II. Entrainment of the central pattern generators for locomotion by sinusoidal hip movements during "fictive locomotion.". , 1983, Acta physiologica Scandinavica.

[8]  David P. C. Lloyd,et al.  MEDIATION OF DESCENDING LONG SPINAL REFLEX ACTIVITY , 1942 .

[9]  Douglas G. Stuart,et al.  Ensemble characterivstics ofcat locovmotionand its neural control , 1976, Progress in Neurobiology.

[10]  K. Pearson,et al.  Nervous Mechanisms Underlying Intersegmental Co-Ordination of Leg Movements During Walking in the Cockroach , 1973 .

[11]  K. Pearson,et al.  Function of Segmental Reflexes in the Control of Stepping in Cockroaches and Cats , 1976 .

[12]  D. Perkel,et al.  Motor-pattern production: interaction of chemical and electrical synapses , 1981, Brain Research.

[13]  S. Miller,et al.  Reversal of sign of long spinal reflexes dependent on the phase of the step cycle in the high decerebrate cat , 1977, Brain Research.

[14]  T. McMahon,et al.  Scaling Stride Frequency and Gait to Animal Size: Mice to Horses , 1974, Science.

[15]  S. Miller,et al.  Functional organization of long ascending propriospinal pathways linking lumbo-sacral and cervical segments in the cat. , 1973, Brain research.

[16]  G. Loeb Somatosensory unit input to the spinal cord during normal walking. , 1981, Canadian journal of physiology and pharmacology.

[17]  T. Brown The intrinsic factors in the act of progression in the mammal , 1911 .

[18]  S. Miller,et al.  The Function of Long Propriospinal Pathways in the Co-Ordination of Quadrupedal Stepping in the Cat , 1973 .

[19]  S. Miller,et al.  Movements of the forelimbs of the cat during stepping on a treadmill , 1975, Brain Research.

[20]  T. Brown,et al.  The Factors in Rhythmic Activity of the Nervous System , 1912 .

[21]  V. S. Gurfinkel,et al.  The Control of Posture and Locomotion , 1973 .

[22]  K. Pearson,et al.  Discharge patterns of coxal levator and depressor motoneurones of the cockroach, Periplaneta americana. , 1970, The Journal of experimental biology.

[23]  C. R. Fourtner,et al.  NERVOUS CONTROL OF WALKING IN THE COCKROACH , 1973 .

[24]  K. Pearson The control of walking. , 1976, Scientific American.

[25]  M. L. Shik,et al.  Neurophysiology of locomotor automatism. , 1976, Physiological reviews.

[26]  F. Delcomyn Neural basis of rhythmic behavior in animals. , 1980, Science.

[27]  S. Grillner,et al.  Central Generation of Locomotion in Vertebrates , 1976 .

[28]  P. Buser,et al.  The effects of DOPA and 5-HTP on rhythmic efferent discharges in hind limb nerves in the rabbit. , 1969, Brain research.

[29]  S. Grillner,et al.  Some Aspects on the Descending Control of the Spinal Circuits Generating Locomotor Movements , 1976 .

[30]  S. Grillner,et al.  Peripheral control of the cat's step cycle. I. Phase dependent effects of ramp-movements of the hip during "fictive locomotion". , 1981, Acta physiologica Scandinavica.

[31]  David P. C. Lloyd,et al.  ACTIVITY IN NEURONS OF THE BULBOSPINAL CORRELATION SYSTEM , 1941 .

[32]  S Grillner,et al.  The influence of DOPA on the static and the dynamic fusimotor activity to the triceps surae of the spinal cat. , 1969, Acta physiologica Scandinavica.

[33]  Charles R. Fourtner,et al.  Central Nervous Control of Cockroach Walking , 1976 .

[34]  C. Sherrington,et al.  FURTHER REMARKS ON THE MAMMALIAN SPINAL PREPARATION , 1910 .

[35]  G SZEKELY,et al.  LOGICAL NETWORK FOR CONTROLLING LIMB MOVEMENTS IN URODELA. , 1965, Acta physiologica Academiae Scientiarum Hungaricae.

[36]  F. Stafford,et al.  Mathematical models of central pattern generators in locomotion: II. Single limb models for locomotion in the cat. , 1985, Journal of motor behavior.

[37]  M. Arbib,et al.  Conceptual models of neural organization. , 1974, Neurosciences Research Program bulletin.

[38]  S. Grillner,et al.  Central generation of locomotion in the spinal dogfish , 1976, Brain Research.

[39]  A. Lundberg,et al.  The effect of DOPA on the spinal cord. 6. Half-centre organization of interneurones transmitting effects from the flexor reflex afferents. , 1967, Acta physiologica Scandinavica.

[40]  Donald M. Wilson,et al.  Models for the generation of the motor output pattern in flying locusts , 1968 .

[41]  J. Gray,et al.  The Effect of Deafferentation Upon the Locomotory Activity of Amphibian Limbs , 1940 .

[42]  S. Grillner Locomotion in vertebrates: central mechanisms and reflex interaction. , 1975, Physiological reviews.

[43]  F JENIK,et al.  Electronic neuron models as an aid to neurophysiological research. , 1962, Ergebnisse der Biologie.

[44]  A. Lundberg,et al.  The effect of DOPA on the spinal cord. 5. Reciprocal organization of pathways transmitting excitatory action to alpha motoneurones of flexors and extensors. , 1967, Acta physiologica Scandinavica.

[45]  P. N. Kugler,et al.  Patterns of human interlimb coordination emerge from the properties of non-linear, limit cycle oscillatory processes: theory and data. , 1981, Journal of motor behavior.