title: A network of electronic neural oscillators reproduces the dynamics of the periodically forced pyloric pacemaker group.
abstract: Low-dimensional oscillators are a valuable model for the neuronal activity of isolated neurons. When coupled, the self-sustained oscillations of individual free oscillators are replaced by a collective network dynamics. Here, dynamical features of such a network, consisting of three electronic implementations of the Hindmarsh-Rose mathematical model of bursting neurons, are compared to those of a biological neural motor system, specifically the pyloric CPG of the crustacean stomatogastric nervous system. We demonstrate that the network of electronic neurons exhibits realistic synchronized bursting behavior comparable to the biological system. Dynamical properties were analyzed by injecting sinusoidal currents into one of the oscillators. The temporal bursting structure of the electronic neurons in response to periodic stimulation is shown to bear a remarkable resemblance to that observed in the corresponding biological network. These findings provide strong evidence that coupled nonlinear oscillators realistically reproduce the network dynamics experimentally observed in assemblies of several neurons.
authors.affiliation: Institut f Biologie, AG Neurobiologie, Freie Universität, 14195 Berlin, Germany. mdenker@chaos.gwdg.de
authors.forename: Michael
authors.initials: M
authors.lastname: Denker
authors.forename: Attila
authors.initials: A
authors.lastname: Szücs
authors.forename: Reynaldo D
authors.initials: RD
authors.lastname: Pinto
authors.forename: Henry D I
authors.initials: HD
authors.lastname: Abarbanel
authors.forename: Allen I
authors.initials: AI
authors.lastname: Selverston
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D005246:Feedback / Q000502:physiology; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D017711:Nonlinear Dynamics; D033521:Palinuridae / Q000502:physiology*; D010507:Periodicity; D011708:Pylorus / Q000294:innervation* / Q000502:physiology*; D009435:Synaptic Transmission / Q000502:physiology