Extracting non-linear integrate-and-fire models from experimental data using dynamic I–V curves

  • Authors:
  • Laurent Badel;Sandrine Lefort;Thomas K. Berger;Carl C. H. Petersen;Wulfram Gerstner;Magnus J. E. Richardson

  • Affiliations:
  • Ecole Polytechnique Fédérale de Lausanne (EPFL), Laboratory of Computational Neuroscience, School of Computer and Communications Sciences and Brain Mind Institute, 1015, Lausanne, Sw ...;Ecole Polytechnique Fédérale de Lausanne (EPFL), Laboratory of Sensory Processing, Brain Mind Institute, 1015, Lausanne, Switzerland;Ecole Polytechnique Fédérale de Lausanne (EPFL), Laboratory of Neural Microcircuitry, Brain Mind Institute, 1015, Lausanne, Switzerland;Ecole Polytechnique Fédérale de Lausanne (EPFL), Laboratory of Sensory Processing, Brain Mind Institute, 1015, Lausanne, Switzerland;Ecole Polytechnique Fédérale de Lausanne (EPFL), Laboratory of Computational Neuroscience, School of Computer and Communications Sciences and Brain Mind Institute, 1015, Lausanne, Sw ...;University of Warwick, Warwick Systems Biology Centre, CV4 7AL, Coventry, UK

  • Venue:
  • Biological Cybernetics - Special Issue: Quantitative Neuron Modeling
  • Year:
  • 2008

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Abstract

The dynamic I–V curve method was recently introduced for the efficient experimental generation of reduced neuron models. The method extracts the response properties of a neuron while it is subject to a naturalistic stimulus that mimics in vivo-like fluctuating synaptic drive. The resulting history-dependent, transmembrane current is then projected onto a one-dimensional current–voltage relation that provides the basis for a tractable non-linear integrate-and-fire model. An attractive feature of the method is that it can be used in spike-triggered mode to quantify the distinct patterns of post-spike refractoriness seen in different classes of cortical neuron. The method is first illustrated using a conductance-based model and is then applied experimentally to generate reduced models of cortical layer-5 pyramidal cells and interneurons, in injected-current and injected- conductance protocols. The resulting low-dimensional neuron models—of the refractory exponential integrate-and-fire type—provide highly accurate predictions for spike-times. The method therefore provides a useful tool for the construction of tractable models and rapid experimental classification of cortical neurons.