title: A mathematical model of flow through a collapsible tube--I. Model and steady flow results.
abstract: A one-dimensional model is presented to describe the flow through a collapsible tube whose ends are tethered to rigid tubes and which is enclosed in a pressurized chamber. Results are presented for the special case of steady flow. Predicted pressure drop versus flow rate (delta P-Q) characteristics agree qualitatively with available experimental data. The significance of the model and of various physical parameters, in regard to the shape of these characteristics, is discussed.
authors.affiliation: Physiological Flow Studies Unit, Imperial College, London, U.K.
authors.forename: P
authors.initials: P
authors.lastname: Morgan
authors.forename: K H
authors.initials: KH
authors.lastname: Parker
mesh_terms: D001696:Biomechanical Phenomena; D001826:Body Fluids / Q000502:physiology*; D002320:Cardiovascular Physiological Phenomena; D003187:Compliance; D004068:Digestive System Physiological Phenomena; D008433:Mathematics; D008954:Models, Biological; D014655:Vascular Resistance