CHAPTER 7 – Dynamical Properties of Excitable Membranes

[1]  A. Huxley,et al.  Hodgkin and the action potential 1935–1952 , 2002, The Journal of physiology.

[2]  Angus M. Brown Simulation of axonal excitability using a Spreadsheet template created in Microsoft Excel , 2000, Comput. Methods Programs Biomed..

[3]  Walter Gall,et al.  An organizing center for planar neural excitability , 2000, Neurocomputing.

[4]  Eugene M. Izhikevich,et al.  Neural excitability, Spiking and bursting , 2000, Int. J. Bifurc. Chaos.

[5]  A M Brown,et al.  A methodology for simulating biological systems using Microsoft Excel. , 1999, Computer methods and programs in biomedicine.

[6]  Russell A. Kirsch,et al.  SEAC and the Start of Image Processing at the National Bureau of Standards , 1998, IEEE Ann. Hist. Comput..

[7]  M. Hines,et al.  The NEURON Simulation Environment , 1997, Neural Computation.

[8]  John W. Clark,et al.  Dissection and reduction of a modeled bursting neuron , 1996, Journal of Computational Neuroscience.

[9]  Bard Ermentrout,et al.  Type I Membranes, Phase Resetting Curves, and Synchrony , 1996, Neural Computation.

[10]  Richard Bertram,et al.  Reduced-system analysis of the effects of serotonin on a molluscan burster neuron , 1994, Biological Cybernetics.

[11]  Lee A. Segel,et al.  A basic biophysical model for bursting neurons , 1993, Biological Cybernetics.

[12]  Xiao-Jing Wang,et al.  Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle , 1993 .

[13]  Erik De Schutter,et al.  A consumer guide to neuronal modeling software , 1992, Trends in Neurosciences.

[14]  David J. Wheeler,et al.  The EDSAC programming systems , 1992, IEEE Annals of the History of Computing.

[15]  J. M. Wheeler,et al.  Applications of the EDSAC , 1992, IEEE Annals of the History of Computing.

[16]  Eve Marder,et al.  Reduction of conductance-based neuron models , 1992, Biological Cybernetics.

[17]  F Bezanilla,et al.  A sodium channel gating model based on single channel, macroscopic ionic, and gating currents in the squid giant axon. , 1991, Biophysical journal.

[18]  Lee A. Segel,et al.  A minimal biophysical model for an excitable and oscillatory neuron , 1991, Biological Cybernetics.

[19]  J. Hindmarsh,et al.  The assembly of ionic currents in a thalamic neuron. II. The stability and state diagrams , 1989, Proceedings of the Royal Society of London. B. Biological Sciences.

[20]  J. Rinzel,et al.  Dissection of a model for neuronal parabolic bursting , 1987, Journal of mathematical biology.

[21]  J. Hindmarsh,et al.  A model of a thalamic neuron , 1985, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[22]  J. Hindmarsh,et al.  A model of neuronal bursting using three coupled first order differential equations , 1984, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[23]  C. Morris,et al.  Voltage oscillations in the barnacle giant muscle fiber. , 1981, Biophysical journal.

[24]  J. Rinzel,et al.  Control of repetitive firing in squid axon membrane as a model for a neuroneoscillator. , 1980, The Journal of physiology.

[25]  F. Bezanilla,et al.  Inactivation of the sodium channel. II. Gating current experiments , 1977, The Journal of general physiology.

[26]  A. Hodgkin,et al.  Chance and design in electrophysiology: an informal account of certain experiments on nerve carried out between 1934 and 1952. , 1976, The Journal of physiology.

[27]  F Bezanilla,et al.  Nerve membrane excitation without threshold. , 1970, Proceedings of the National Academy of Sciences of the United States of America.

[28]  R. FitzHugh Theoretical Effect of Temperature on Threshold in the Hodgkin-Huxley Nerve Model , 1966, The Journal of general physiology.

[29]  A. Hodgkin,et al.  The Ionic Basis of Nervous Conduction , 1964, Science.

[30]  A F HUXLEY,et al.  EXCITATION AND CONDUCTION IN NERVE: QUANTITATIVE ANALYSIS. , 1964, Science.

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

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

[33]  R. FitzHugh Thresholds and Plateaus in the Hodgkin-Huxley Nerve Equations , 1960, The Journal of general physiology.

[34]  R. FitzHugh,et al.  Automatic Computation of Nerve Excitation—Detailed Corrections and Additions , 1959 .

[35]  F. Dodge,et al.  Sodium currents in the myelinated nerve fibre of Xenopus laevis investigated with the voltage clamp technique , 1959, The Journal of physiology.

[36]  H. A. Antosiewicz,et al.  Automatic Computation of Nerve Excitation , 1955 .

[37]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.

[38]  A. Hodgkin,et al.  Currents carried by sodium and potassium ions through the membrane of the giant axon of Loligo , 1952, The Journal of physiology.

[39]  A. Hodgkin,et al.  Measurement of current‐voltage relations in the membrane of the giant axon of Loligo , 1952, The Journal of physiology.

[40]  A. Hodgkin,et al.  The components of membrane conductance in the giant axon of Loligo , 1952, The Journal of physiology.

[41]  A. Hodgkin,et al.  The dual effect of membrane potential on sodium conductance in the giant axon of Loligo , 1952, The Journal of physiology.

[42]  A. Hodgkin,et al.  THE IONIC BASIS OF ELECTRICAL ACTIVITY IN NERVE AND MUSCLE , 1951 .

[43]  G. Marmont Studies on the axon membrane; a new method. , 1949, Journal of cellular and comparative physiology.

[44]  Evyatar Av-Ron,et al.  The role of a transient potassium current in a bursting neuron model , 1994, Journal of mathematical biology.

[45]  J. Alexander,et al.  On the dynamics of bursting systems , 1991, Journal of mathematical biology.

[46]  J. Rinzel Discussion: Electrical excitability of cells, theory and experiment: Review of the Hodgkin-Huxley foundation and an update , 1990 .

[47]  E. De Schutter,et al.  Computer software for development and simulation of compartmental models of neurons , 1989 .

[48]  J. Hindmarsh,et al.  The assembly of ionic currents in a thalamic neuron I. The three-dimensional model , 1989, Proceedings of the Royal Society of London. B. Biological Sciences.

[49]  Eugene M. Izhikevich,et al.  “Subcritical Elliptic Bursting of Bautin Type ” (Izhikevich (2000b)). The following , 2022 .