Stability analysis of asynchronous states in neuronal networks with conductance-based inhibition.
Oscillations in networks of inhibitory interneurons have been reported at various sites of the brain and are thought to play a fundamental role in neuronal processing. This Letter provides a self-contained analytical framework that allows numerically efficient calculations of the population activity of a network of conductance-based integrate-and-fire neurons that are coupled through inhibitory synapses. Based on a normalization equation this Letter introduces a novel stability criterion for a network state of asynchronous activity and discusses its perturbations. The analysis shows that, although often neglected, the reversal potential of synaptic inhibition has a strong influence on the stability as well as the frequency of network oscillations.
Leibold
Christian
C
Institute for Theoretical Biology, Humboldt-Universität zu Berlin, 10115 Berlin, Germany.
D008564:Membrane Potentials; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D009431:Neural Conduction / Q000502:physiology*; D009474:Neurons / Q000502:physiology