Which model to use for cortical spiking neurons?

We discuss the biological plausibility and computational efficiency of some of the most useful models of spiking and bursting neurons. We compare their applicability to large-scale simulations of cortical neural networks.

[1]  A. Hodgkin The local electric changes associated with repetitive action in a non‐medullated axon , 1948, The Journal of physiology.

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

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

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

[5]  G. Ermentrout,et al.  Parabolic bursting in an excitable system coupled with a slow oscillation , 1986 .

[6]  G. Ermentrout,et al.  Analysis of neural excitability and oscillations , 1989 .

[7]  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.

[8]  B. Connors,et al.  Intrinsic firing patterns of diverse neocortical neurons , 1990, Trends in Neurosciences.

[9]  C. Gray,et al.  Chattering Cells: Superficial Pyramidal Neurons Contributing to the Generation of Synchronous Oscillations in the Visual Cortex , 1996, Science.

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

[11]  J. Lisman Bursts as a unit of neural information: making unreliable synapses reliable , 1997, Trends in Neurosciences.

[12]  E. Izhikevich,et al.  Weakly connected neural networks , 1997 .

[13]  H. Wilson Simplified dynamics of human and mammalian neocortical neurons. , 1999, Journal of theoretical biology.

[14]  Eugene M. Izhikevich,et al.  Class 1 neural excitability, conventional synapses, weakly connected networks, and mathematical foundations of pulse-coupled models , 1999, IEEE Trans. Neural Networks.

[15]  B. Connors,et al.  Two networks of electrically coupled inhibitory neurons in neocortex , 1999, Nature.

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

[17]  B. Richmond,et al.  Intrinsic dynamics in neuronal networks. I. Theory. , 2000, Journal of neurophysiology.

[18]  S. Sherman,et al.  Fourier analysis of sinusoidally driven thalamocortical relay neurons and a minimal integrate-and-fire-or-burst model. , 2000, Journal of neurophysiology.

[19]  Eugene M. Izhikevich,et al.  Resonate-and-fire neurons , 2001, Neural Networks.

[20]  Wulfram Gerstner,et al.  Spiking Neuron Models , 2002 .

[21]  Frank C. Hoppensteadt,et al.  Bursts as a unit of neural information: selective communication via resonance , 2003, Trends in Neurosciences.

[22]  Eugene M. Izhikevich,et al.  Simple model of spiking neurons , 2003, IEEE Trans. Neural Networks.

[23]  G. Edelman,et al.  Spike-timing dynamics of neuronal groups. , 2004, Cerebral cortex.

[24]  Ioannis G. Kevrekidis,et al.  International Journal of Bifurcation and Chaos in Applied Sciences and Engineering: Editorial , 2005 .

[25]  Eugene M. Izhikevich,et al.  Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting , 2006 .