title: Optimal control of input rates of Stein's models.
abstract: We investigate the optimal control of neuronal spiking activity for classical Stein's model, Stein's model with reversal potentials with continuous random inputs, characterized by a positive parameter α and Stein's model with Poisson inputs. We solve the optimal control problems and obtain optimal rates λ(t) for different kinds of models. The numerical simulations on variable parameters show that it is possible to make the interval of spikes the same as our expected time in the range of the values of parameters.
authors.affiliation: School of Mathematical Sciences, Fudan University, Shanghai 200433, People's Republic of China. 071018031@fudan.edu.cn
authors.forename: Lili
authors.initials: L
authors.lastname: Lu
mesh_terms: D000200:Action Potentials / Q000502:physiology; D003198:Computer Simulation; D006801:Humans; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*; D013569:Synapses / Q000502:physiology*