A reduced model of pulsatile flow in an arterial compartment

DOI10.1016/j.chaos.2006.03.096zbMath1129.76059OpenAlexW2017307708MaRDI QIDQ2468111

Michel Sorine, Emmanuelle Crépeau

Publication date: 30 January 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.03.096

zbMATH Keywords

Korteweg-de Vries modelradial accelerationsystolic phase

Mathematics Subject Classification ID

Physiological flows (76Z05) Physiological flow (92C35)

Related Items (13)

Semi-classical signal analysis ⋮ Identification of an unknown coefficient in KdV equation from final time measurement ⋮ Boundary stabilization of the Korteweg-de Vries equation and the Korteweg-de Vries-Burgers equation ⋮ Methods of Blood Flow Modelling ⋮ Exponential input-to-state stability of delay Korteweg-de Vries-Burgers equations ⋮ Nonlinear dynamics of the KdV-B equation and its biomedical applications ⋮ Feedback Stabilization and Boundary Controllability of the Korteweg--de Vries Equation on a Star-Shaped Network ⋮ An inverse problem for the KdV equation with Neumann boundary measured data ⋮ The Korteweg-de Vries equation on a metric star graph ⋮ BOUNDARY CONTROLLABILITY FOR THE TIME-FRACTIONAL NONLINEAR KORTEWEG-DE VRIES (KDV) EQUATION ⋮ Linear instability criterion for the Korteweg–de Vries equation on metric star graphs ⋮ Nonlinear dispersive equations: classical and new frameworks ⋮ Finite-time boundary stabilization for Korteweg-de Vries-Burgers equations

Cites Work

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• On deriving lumped models for blood flow and pressure in the systemic arteries
• Effective Equations Modeling the Flow of a Viscous Incompressible Fluid through a Long Elastic Tube Arising in the Study of Blood Flow through Small Arteries
• Analysis of a Geometrical Multiscale Model Based on the Coupling of ODE and PDE for Blood Flow Simulations
• Short-term modelling of the controlled cardiovascular system
• Analysis of lumped parameter models for blood flow simulations and their relation with 1D models
• Nonlinear waves in a viscous fluid contained in a viscoelastic tube.

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