Spectral models for 1D blood flow simulations
Spectral models for 1D blood flow simulations
In this paper we introduce a new theoretical formulation for the description of the blood flow in the circulatory system. Starting from a linearized version of the Navier-Stokes equations, the Green's function of the propagation problem is computed in a rational form. As a consequence, the input-output transfer function relating the upstream and downstream pressure and blood flow is written in a rational form as well, leading to a time-domain state-space model suitable for transient analysis. The proposed theoretical formulation has been validated by pertinent numerical results.
- Vrije Universiteit Brussel Belgium
- University of L'Aquila Italy
- Università Campus Bio-Medico Italy
- University of Sannio Italy
- Ghent University Belgium
Time Factors, time domain state space model, Blood Pressure, physiological models, upstream pressure, Green's function methods, 1D blood flow simulations, Medicine and Health Sciences, Humans, Computer Simulation, Poisson Distribution, circulatory system, downstream pressure, haemodynamics, Models, Statistical, Hemodynamics, Models, Cardiovascular, input-output transfer function, Green's function, Models, Theoretical, time-domain analysis, state-space methods, Data Interpretation, Statistical, cardiovascular system, flow simulation, Navier-Stokes equations, propagation problem, Algorithms, Blood Flow Velocity, spectral models
Time Factors, time domain state space model, Blood Pressure, physiological models, upstream pressure, Green's function methods, 1D blood flow simulations, Medicine and Health Sciences, Humans, Computer Simulation, Poisson Distribution, circulatory system, downstream pressure, haemodynamics, Models, Statistical, Hemodynamics, Models, Cardiovascular, input-output transfer function, Green's function, Models, Theoretical, time-domain analysis, state-space methods, Data Interpretation, Statistical, cardiovascular system, flow simulation, Navier-Stokes equations, propagation problem, Algorithms, Blood Flow Velocity, spectral models
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