title: Well-posedness of a density model for a population of theta neurons.
abstract: Population density models used to describe the evolution of neural populations in a phase space are closely related to the single neuron model that describes the individual trajectories of the neurons of the population and which gives in particular the phase-space where the computations are made. Based on a transformation of the quadratic integrate and fire single neuron model, the so called theta-neuron model is obtained and we shall introduce in this paper a corresponding population density model for it. Existence and uniqueness of a solution will be proved and some numerical simulations are presented.
authors.forename: Grégory
authors.initials: G
authors.lastname: Dumont
authors.forename: Jacques
authors.initials: J
authors.lastname: Henry
authors.forename: Carmen Oana
authors.initials: CO
authors.lastname: Tarniceriu