Simulations of a Reconstructed Cerebellar Purkinje Cell Based on Simplified Channel Kinetics

When cerebellar Purkinje cells are depolarized with a constant current pulse injected at the soma, complex spike discharge patterns are observed (Llinas and Sugimori 1980b). A computer model has been constructed to analyze how the Purkinje cell ionic conductance identified to date interact to produce the observed firing behavior. The kinetics of voltage-dependent conductance used in the model were significantly simpler than Hodgkin-Huxley kinetics, which have many parameters that must be experimentally determined. Our simplified scheme was able to reproduce the complex nonlinear responses found in real Purkinje cells. A similar approach could be used to study the wide variety of neurons found in different brain regions.

[1]  Idan Segev,et al.  Analog and digital processing in single nerve cells: dendritic integration and axonal propagation , 1992 .

[2]  J. Jack,et al.  Electric current flow in excitable cells , 1975 .

[3]  G. Globus Toward a Noncomputational Cognitive Neuroscience , 1992, Journal of Cognitive Neuroscience.

[4]  R. Llinás,et al.  Electrophysiological properties of in vitro Purkinje cell dendrites in mammalian cerebellar slices. , 1980, The Journal of physiology.

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

[6]  T. Sejnowski,et al.  Computer model of ethosuximide's effect on a thalamic neuron , 1992, Annals of neurology.

[7]  P. Kienker Equivalence of aggregated Markov models of ion-channel gating , 1989, Proceedings of the Royal Society of London. B. Biological Sciences.

[8]  R. Keynes The ionic channels in excitable membranes. , 1975, Ciba Foundation symposium.

[9]  Rodney J. Douglas,et al.  Synchronization of Bursting Action Potential Discharge in a Model Network of Neocortical Neurons , 1991, Neural Computation.

[10]  M Hines,et al.  A program for simulation of nerve equations with branching geometries. , 1989, International journal of bio-medical computing.

[11]  T. Sejnowski,et al.  Reduced compartmental models of neocortical pyramidal cells , 1993, Journal of Neuroscience Methods.

[12]  Idan Segev Single neurone models: oversimple, complex and reduced , 1992, Trends in Neurosciences.

[13]  C. Stevens,et al.  Voltage clamp studies of a transient outward membrane current in gastropod neural somata , 1971, The Journal of physiology.

[14]  D. Shelton,et al.  Membrane resistivity estimated for the purkinje neuron by means of a passive computer model , 1985, Neuroscience.

[15]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1990 .

[16]  R. Llinás,et al.  Electrophysiological properties of in vitro Purkinje cell somata in mammalian cerebellar slices. , 1980, The Journal of physiology.

[17]  C. Nicholson Electric current flow in excitable cells J. J. B. Jack, D. Noble &R. W. Tsien Clarendon Press, Oxford (1975). 502 pp., £18.00 , 1976, Neuroscience.

[18]  J. Hounsgaard,et al.  Intrinsic determinants of firing pattern in Purkinje cells of the turtle cerebellum in vitro. , 1988, The Journal of physiology.

[19]  C. F. Stevens,et al.  A reinterpretation of mammalian sodium channel gating based on single channel recording , 1983, Nature.

[20]  Idan Segev,et al.  Compartmental models of complex neurons , 1989 .