title: Formal modeling with multistate neurones and multidimensional synapses.
abstract: Multistate neurones, a generalization of the popular McCulloch-Pitts binary neurones, are described; they are intended to model the fact that neurones may be in several different states of activity, while McCulloch-Pitts neurones model two states only: active or inactive. We show that as a consequence, multidimensional synapses are necessary to describe the dynamics of the model. As an illustration, we show how to derive the parameters of formal multistate neurones and their associated multidimensional synapses from simulations involving Hodgkin-Huxley neurones. Our approach opens the way to solve in a more biologically plausible way, two problems that were addressed previously: (1) the resolution of 'inverse problems', i.e. the construction of formal networks, whose dynamics follows a pre-defined spatio-temporal binary sequence, (2) the generation of spatio-temporal patterns that reproduce exactly the 'code' extracted from experimental recordings (olfactory codes at the glomerular level).
authors.affiliation: Laboratoire d'Electronique, Ecole Supérieure de Physique et de Chimie, Industrielle de la Ville de Paris, 10 rue Vauquelin, 75005 Paris, France. brigitte.quenet@espci.fr
authors.forename: Brigitte
authors.initials: B
authors.lastname: Quenet
authors.forename: Ginette
authors.initials: G
authors.lastname: Horcholle-Bossavit
authors.forename: Adrien
authors.initials: A
authors.lastname: Wohrer
authors.forename: Gérard
authors.initials: G
authors.lastname: Dreyfus
mesh_terms: D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*; D013569:Synapses / Q000502:physiology*