title: Population dynamics of spiking neurons: fast transients, asynchronous states, and locking.
abstract: An integral equation describing the time evolution of the population activity in a homogeneous pool of spiking neurons of the integrate-and-fire type is discussed. It is analytically shown that transients from a state of incoherent firing can be immediate. The stability of incoherent firing is analyzed in terms of the noise level and transmission delay, and a bifurcation diagram is derived. The response of a population of noisy integrate-and-fire neurons to an input current of small amplitude is calculated and characterized by a linear filter L. The stability of perfectly synchronized"locked"solutions is analyzed.
authors.affiliation: Center for Neuromimetic Systems, Swiss Federal Institute of Technology, EPFL-DI, CH-1015 Lausanne, Switzerland.
authors.forename: W
authors.initials: W
authors.lastname: Gerstner
mesh_terms: D000818:Animals; D001921:Brain / Q000502:physiology*; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D016571:Neural Networks, Computer; D009474:Neurons / Q000502:physiology*