title: Time optimal control of spiking neurons.
abstract: By injecting an electrical current control stimulus into a neuron, one can change its inter-spike intervals. In this paper, we investigate the time optimal control problem for periodically firing neurons, represented by different one-dimensional phase models, and find analytical expressions for the minimum and maximum values of inter-spike intervals achievable with small bounded control stimuli. We consider two cases: with a charge-balance constraint on the input, and without it. The analytical calculations are supported with numerical results for examples of qualitatively different neuron models.
authors.affiliation: Mechanical Engineering Department, University of California at Santa Barbara, Santa Barbara, CA 93106, USA. nabi@engineering.ucsb.edu
authors.forename: Ali
authors.initials: A
authors.lastname: Nabi
authors.forename: Jeff
authors.initials: J
authors.lastname: Moehlis
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D003198:Computer Simulation; D006801:Humans; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*; D010507:Periodicity; D013997:Time Factors