Low dimensional model of bursting neurons

  • Authors:

  • X. Zhao;J. W. Kim;P. A. Robinson;C. J. Rennie

  • Affiliations:

  • School of Physics, The University of Sydney, Sydney, Australia 2006 and Brain Dynamics Center, Sydney Medical School-Western, University of Sydney, Westmead, Australia 2145 and Faculty of Medicine ...;School of Physics, The University of Sydney, Sydney, Australia 2006 and Brain Dynamics Center, Sydney Medical School-Western, University of Sydney, Westmead, Australia 2145 and Center for Integrat ...;School of Physics, The University of Sydney, Sydney, Australia 2006 and Brain Dynamics Center, Sydney Medical School-Western, University of Sydney, Westmead, Australia 2145 and Center for Integrat ...;School of Physics, The University of Sydney, Sydney, Australia 2006 and Brain Dynamics Center, Sydney Medical School-Western, University of Sydney, Westmead, Australia 2145 and Center for Integrat ...

  • Venue:
  • Journal of Computational Neuroscience
  • Year:
  • 2014

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Abstract

A computationally efficient, biophysically-based model of neuronal behavior is presented; it incorporates ion channel dynamics in its two fast ion channels while preserving simplicity by representing only one slow ion current. The model equations are shown to provide a wide array of physiological dynamics in terms of spiking patterns, bursting, subthreshold oscillations, and chaotic firing. Despite its simplicity, the model is capable of simulating an extensive range of spiking patterns. Several common neuronal behaviors observed in vivo are demonstrated by varying model parameters. These behaviors are classified into dynamical classes using phase diagrams whose boundaries in parameter space prove to be accurately delineated by linear stability analysis. This simple model is suitable for use in large scale simulations involving neural field theory or neuronal networks.