title: Distant synchronization through a passive medium.
abstract: This paper deals with the phenomenon of synchronization of oscillatory ensembles interacting distantly through the passive medium. Main characteristics of such a kind of synchronization are studied. The results of this work can be applied to describe the synchronization of cardiac oscillatory cells separated by the passive fibroblasts. In this work the phenomenological models (Bonhoeffer-Van der Pol) of cardiac cells as well as biologically relevant (Luo-Rudy, Sachse) models are used. We also propose equivalent model of distant synchronization and derive on its basis an analytical scaling of the frequency of synchronous oscillations.
authors.affiliation: Department of Control Theory, Nizhny Novgorod University, Nizhny Novgorod, Russia.
authors.forename: V S
authors.initials: VS
authors.lastname: Petrov
authors.forename: G V
authors.initials: GV
authors.lastname: Osipov
authors.forename: J
authors.initials: J
authors.lastname: Kurths