title: Linearization of F-I curves by adaptation.
abstract: We show that negative feedback to highly nonlinear frequency-current (F-I) curves results in an effective linearization. (By highly nonlinear we mean that the slope at threshold is infinite or very steep.) We then apply this to a specific model for spiking neurons and show that the details of the adaptation mechanism do not affect the results. The crucial points are that the adaptation is slow compared to other processes and the unadapted F-I curve is highly nonlinear.
authors.affiliation: Department of Mathematics, University of Pittsburgh, PA 15260, USA.
authors.forename: B
authors.initials: B
authors.lastname: Ermentrout
mesh_terms: D000200:Action Potentials / Q000502:physiology; D000222:Adaptation, Physiological / Q000502:physiology*; D002118:Calcium / Q000502:physiology; D004553:Electric Conductivity; D005246:Feedback; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D009474:Neurons / Q000502:physiology*; D017711:Nonlinear Dynamics; D011188:Potassium / Q000502:physiology; D013997:Time Factors
chemical_list: D011188:Potassium; D002118:Calcium