A Central pattern generator to control a pyloric-based system

Abstract. A central pattern generator (CPG) is built to control a mechanical device (plant) inspired by the pyloric chamber of the lobster. Conductance-based models are used to construct the neurons of the CPG. The plant has an associated function that measures the amount of food flowing through it per unit of time. We search for the best set of solutions that give a high positive flow of food in the maximization function. The plant is symmetric and the model neurons are identical to avoid any bias in the space of solutions. We find that the solution is not unique and that three neurons are sufficient to produce positive flow. We propose an effective principle for CPGs (effective on-off connectivity) and a few predictions to be corroborated in the pyloric system of the lobster.

[1]  S Grillner,et al.  Ion Channels and Locomotion , 1997, Science.

[2]  J A Kelso,et al.  Dynamic pattern generation in behavioral and neural systems. , 1988, Science.

[3]  G. Ermentrout,et al.  Modelling of intersegmental coordination in the lamprey central pattern generator for locomotion , 1992, Trends in Neurosciences.

[4]  Lee G. Morris,et al.  Muscle Response to Changing Neuronal Input in the Lobster(Panulirus Interruptus) Stomatogastric System: Slow Muscle Properties Can Transform Rhythmic Input into Tonic Output , 1998, The Journal of Neuroscience.

[5]  M. Alexander,et al.  Principles of Neural Science , 1981 .

[6]  Mikhail I. Rabinovich,et al.  Self-regularization of chaos in neural systems: experimental and theoretical results , 1997 .

[7]  S. Grillner,et al.  Neural networks that co-ordinate locomotion and body orientation in lamprey , 1995, Trends in Neurosciences.

[8]  Thomas Kindermann,et al.  Walking: A Complex Behavior Controlled by Simple Networks , 1995, Adapt. Behav..

[9]  R. Harris-Warrick,et al.  Actions of identified neuromodulatory neurons in a simple motor system , 1990, Trends in Neurosciences.

[10]  B. Hille Ionic channels of excitable membranes , 2001 .

[11]  Nicholas G. Hatsopoulos,et al.  Coupling the Neural and Physical Dynamics in Rhythmic Movements , 1996, Neural Computation.

[12]  Jeffrey Dean,et al.  Kinematic Model of a Stick Insect as an Example of a Six-Legged Walking System , 1992, Adapt. Behav..

[13]  E. Marder,et al.  Principles of rhythmic motor pattern generation. , 1996, Physiological reviews.

[14]  P. Meyrand,et al.  In Vivo Modulation of Interacting Central Pattern Generators in Lobster Stomatogastric Ganglion: Influence of Feeding and Partial Pressure of Oxygen , 1998, The Journal of Neuroscience.

[15]  G. Schöner Recent Developments and Problems in Human Movement Science and Their Conceptual Implications , 1995 .

[16]  A. Selverston,et al.  The Crustacean Stomatogastric System , 1987, Springer Berlin Heidelberg.

[17]  S. Ryckebusch,et al.  Interactions between segmental leg central pattern generators during fictive rhythms in the locust. , 1994, Journal of neurophysiology.

[18]  B. Mulloney,et al.  Sensory alteration of motor patterns in the stomatogastric nervous system of the spiny lobster Panulirus interruptus. , 1982, The Journal of experimental biology.

[19]  G Laurent,et al.  Rhythmic modulation of the responsiveness of locust sensory local interneurons by walking pattern generating networks. , 1994, Journal of neurophysiology.

[20]  Nikolai F. Rulkov,et al.  Synchronized Action of Synaptically Coupled Chaotic Model Neurons , 1996, Neural Computation.

[21]  Terrence J. Sejnowski,et al.  An Efficient Method for Computing Synaptic Conductances Based on a Kinetic Model of Receptor Binding , 1994, Neural Computation.

[22]  W. Zev Rymer,et al.  Muscle models , 1998 .

[23]  Anders Lansner,et al.  Intersegmental coordination in the lamprey: simulations using a network model without segmental boundaries , 1997, Biological Cybernetics.

[24]  D E Sherwood,et al.  Rapid movements with reversals in direction. II. Control of movement amplitude and inertial load. , 1988, Experimental brain research.

[25]  P. A. Getting,et al.  Dynamic neuromodulation of synaptic strength intrinsic to a central pattern generator circuit , 1994, Nature.

[26]  Örjan Ekeberg,et al.  The Neural Control of Fish Swimming Studied Through Numerical Simulations , 1995, Adapt. Behav..

[27]  Cheng Liu,et al.  Schaum's Outline of Fluid Mechanics and Hydraulics , 1962 .

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

[29]  P. Roberts Classification of rhythmic patterns in the stomatogastric ganglion , 1997, Neuroscience.

[30]  E. Marder,et al.  Ionic currents of the lateral pyloric neuron of the stomatogastric ganglion of the crab. , 1992, Journal of neurophysiology.

[31]  Michael A. Arbib,et al.  Snapping: A paradigm for modeling coordination of motor synergies , 1994, Neural Networks.

[32]  E. Marder,et al.  Selective regulation of current densities underlies spontaneous changes in the activity of cultured neurons , 1995, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[33]  Brian K. Shaw,et al.  The Neuronal Basis of the Behavioral Choice between Swimming and Shortening in the Leech: Control Is Not Selectively Exercised at Higher Circuit Levels , 1997, The Journal of Neuroscience.

[34]  Ramon Huerta,et al.  A FINITE AUTOMATA MODEL OF SPIKING-BURSTING NEURONS , 1996 .

[35]  S. Gueron,et al.  Dopamine modulation of two subthreshold currents produces phase shifts in activity of an identified motoneuron. , 1995, Journal of neurophysiology.

[36]  W. O. Friesen,et al.  Neuronal control of leech swimming. , 1995, Journal of neurobiology.

[37]  A. Selverston,et al.  Oscillatory neural networks. , 1985, Annual review of physiology.

[38]  M L Latash,et al.  Organizing principles for single joint movements: V. Agonist-antagonist interactions. , 1992, Journal of neurophysiology.