A Mean Field to Capture Asynchronous Irregular Dynamics of Conductance-Based Networks of Adaptive Quadratic Integrate-and-Fire Neuron Models.

Journal: Neural computation
Published Date:

Abstract

Mean-field models are a class of models used in computational neuroscience to study the behavior of large populations of neurons. These models are based on the idea of representing the activity of a large number of neurons as the average behavior of mean-field variables. This abstraction allows the study of large-scale neural dynamics in a computationally efficient and mathematically tractable manner. One of these methods, based on a semianalytical approach, has previously been applied to different types of single-neuron models, but never to models based on a quadratic form. In this work, we adapted this method to quadratic integrate-and-fire neuron models with adaptation and conductance-based synaptic interactions. We validated the mean-field model by comparing it to the spiking network model. This mean-field model should be useful to model large-scale activity based on quadratic neurons interacting with conductance-based synapses.

Authors

  • Christoffer G Alexandersen
    Mathematical Institute, University of Oxford, OX2 6GG, Oxford, U.K.
  • Chloé Duprat
    Paris-Saclay University, Institute of Neuroscience, CNRS, 91400 Saclay, France.
  • Aitakin Ezzati
    Institut de Neurosciences des Systèmes, Aix-Marseille University, INSERM, 13005 Marseille, France aitakin.EZZATI@univ-amu.fr.
  • Pierre Houzelstein
    Group for Neural Theory, LNC2, INSERM U960, DEC, École Normale Supérieure-PSL University, 75005 Paris, France pierre.houzelstein@gmail.com.
  • Ambre Ledoux
    Paris-Saclay University, Institute of Neuroscience, CNRS, 91400 Saclay, France ambre.ledoux35@gmail.com.
  • Yuhong Liu
    State Key Laboratory of Tribology, Tsinghua University, Beijing 100084, China. Electronic address: liuyuhong@tsinghua.edu.cn.
  • Sandra Saghir
    Department of Software Engineering and Theoretical Computer Science, Technische Universität Berlin, 10623 Berlin, Germany sandra.saghir@campus.tu-berlin.de.
  • Alain Destexhe
    Unité de Neurosciences, Information et Complexité, Centre National de la Recherche Scientifique, FRE 3693. 1 Avenue de la terrasse, 91198, Gif sur Yvette, France. destexhe@unic.cnrs-gif.fr.
  • Federico Tesler
    Paris-Saclay University, Institute of Neuroscience, CNRS, 91400 Saclay, France ftesler@gmail.com.
  • Damien Depannemaecker
    Laboratório de Neurociência Experimental e Computacional, Departamento de Engenharia de Biossistemas, Universidade Federal de São João del-Rei (UFSJ), Brazil; Disciplina de Neurociência, Departamento de Neurologia e Neurocirurgia, Universidade Federal de São Paulo (UNIFESP), São Paulo, Brazil.