A study of bifurcation behaviour of a model of flow through a collapsible tube

DOI10.1007/BF02459476zbMath0859.92005MaRDI QIDQ1817445

J. P. Armitstead, Christopher D. Bertram, Oliver E. Jensen

Publication date: 16 January 1997

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

bifurcationcontinuationnonlinear ordinary differential equationscollapsible tubeself-excited oscillationssoftware package AUTO-86Starling resistorunsteady flow behaviour

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Physiological flow (92C35) Computational methods for problems pertaining to biology (92-08) Numerical methods for ordinary differential equations (65L99)

Related Items

Local and global instabilities of flow in a flexible-walled channel, Numerical simulation of collapsible-tube flows with sinusoidal forced oscillations, Instabilities in flexible channel flow with large external pressure, Analytical study of a model of fluid flow through a channel with flexible walls, A model of a snorer's upper airway, SELF-EXCITED OSCILLATIONS IN A COLLAPSIBLE CHANNEL WITH APPLICATIONS TO RETINAL VENOUS PULSATION, Sloshing and slamming oscillations in a collapsible channel flow, Energetics of collapsible channel flow with a nonlinear fluid-beam model, The energetics of flow through a rapidly oscillating tube with slowly varying amplitude, Global stability analysis of flexible channel flow with a hyperelastic wall

Uses Software

• AUTO
• AUTO-86

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Instabilities of flow in a collapsed tube
• Unnamed Item