title: Modeling of a density oscillator.
abstract: A density oscillator is a well-known system, which exhibits relaxation oscillation. It alternately exhibits up and down flows through a pipe that connects two containers filled with fluids that have different densities. Although the up-flow, down-flow, and flow-reversal processes have been studied separately, the entire oscillatory dynamics has not been modeled quantitatively. In this study, we derive a model of a density oscillator by considering all the above mentioned processes. The model thus obtained describes the oscillatory behavior in a unified manner, and its viscosity and pipe-length dependence is well described. Moreover, for the demonstration of this model, we have extended it to describe the dynamical behaviors observed in coupled density oscillators. Thus, this model provides a general expression for density oscillators.
authors.affiliation: Graduate School of Frontier Biosciences, Osaka University, Suita, Japan. takesik@fbs.osaka-u.ac.jp
authors.forename: T
authors.initials: T
authors.lastname: Kano
authors.forename: S
authors.initials: S
authors.lastname: Kinoshita
mesh_terms: D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*