title: Threshold curve for the excitability of bidimensional spiking neurons.
abstract: We shed light on the threshold for spike initiation in two-dimensional neuron models. A threshold criterion that depends on both the membrane voltage and the recovery variable is proposed. This approach provides a simple and unified framework that accounts for numerous voltage threshold properties including adaptation, variability, and time-dependent dynamics. In addition, neural features such as accommodation, inhibition-induced spike, and postinhibitory (-excitatory) facilitation are the direct consequences of the existence of a threshold curve. Implications for neural modeling are also discussed.
authors.affiliation: INRIA-Grenoble, 655 avenue de l'Europe, Montbonnot, 38334 Saint Ismier, France.
authors.forename: Arnaud
authors.initials: A
authors.lastname: Tonnelier
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D003198:Computer Simulation; D016014:Linear Models; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*