A minimal biophysical model for an excitable and oscillatory neuron

Presented here is a minimal biophysical cell model, based on work by Hodgkin and Huxley and by Rinzel, that can exhibit both excitable and oscillatory behavior. Two versions of the model are studied, which conform to data for squid and lobster giant axons.

[1]  W. Otto Friesen,et al.  Physiological anatomy and burst pattern in the cardiac ganglion of the spiny lobsterPanulirus interruptus , 1975, Journal of comparative physiology.

[2]  C. Terzuolo,et al.  Diverse forms of activity in the somata of spontaneous and integrating ganglion cells , 1957, The Journal of physiology.

[3]  I. M. Klotz,et al.  Interactions of calcium with serum albumin. , 1953, Archives of biochemistry and biophysics.

[4]  D. E. Goldman,et al.  Current-Voltage Relations in the Lobster Giant Axon Membrane Under Voltage Clamp Conditions , 1962, The Journal of general physiology.

[5]  J C DALTON,et al.  Applicability of Hodgkin-Huxley model to experimental data from the giant axon of lobster. , 1960, Science.

[6]  J. Connor,et al.  Burst activity and cellular interaction in the pacemaker ganglion of the lobster heart. , 1969, The Journal of experimental biology.

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

[8]  J. C. Dalton,et al.  EFFECTS OF EXTERNAL IONS ON MEMBRANE POTENTIALS OF A LOBSTER GIANT AXON , 1958, The Journal of general physiology.

[9]  D. E. Goldman,et al.  Membrane Potentials of the Lobster Giant Axon Obtained by Use of the Sucrose-Gap Technique , 1962, The Journal of general physiology.

[10]  R. FitzHugh.  Impulses and Physiological States in Theoretical Models of Nerve Membrane. , 1961, Biophysical journal.

[11]  H Lecar,et al.  Electrically gated ionic channels in lipid bilayers , 1977, Quarterly Reviews of Biophysics.

[12]  D. Hartline,et al.  Impulse identification and axon mapping of the nine neurons in the cardiac ganglion of the lobster Homarus americanus. , 1967, The Journal of experimental biology.

[13]  J. C. Dalton,et al.  EFFECTS OF EXTERNAL IONS ON MEMBRANE POTENTIALS OF A CRAYFISH GIANT AXON , 1959, The Journal of general physiology.

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

[15]  W. J. Adelman,et al.  Interactions of Calcium with Sodium and Potassium in Membrane Potentials of the Lobster Giant Axon , 1960, The Journal of general physiology.

[16]  S. Yoshizawa,et al.  An Active Pulse Transmission Line Simulating Nerve Axon , 1962, Proceedings of the IRE.

[17]  E. Mayeri,et al.  Functional Organization of the Cardiac Ganglion of the Lobster, Homarus americanus , 1973, The Journal of general physiology.

[18]  W. Otto Friesen,et al.  Synaptic interactions in the cardiac ganglion of the spiny lobsterPanulirus interruptus , 1975, Journal of comparative physiology.

[19]  K Tazaki,et al.  Characterization of Ca current underlying burst formation in lobster cardiac ganglion motorneurons. , 1990, Journal of neurophysiology.

[20]  K Tazaki,et al.  Neuronal mechanisms underlying rhythmic bursts in crustacean cardiac ganglia. , 1983, Symposia of the Society for Experimental Biology.

[21]  J. Rinzel.  Excitation dynamics: insights from simplified membrane models. , 1985, Federation proceedings.

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