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Blood Flow Imaging with Ultrafast Doppler
05:57

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Published on: October 14, 2020

Spectral models for 1D blood flow simulations.

Vincenzopio Tamburrelli1, Francesco Ferranti, Giulio Antonini

  • 1Università Campus Biomedico, Roma, Italy. v.tamburrelli@unicampus.it

Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference
|November 25, 2010
PubMed
Summary
This summary is machine-generated.

This study presents a new model for blood flow in the circulatory system using fluid dynamics principles. The model offers a rational transfer function for analyzing blood flow dynamics and transient states.

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Area of Science:

  • Fluid dynamics
  • Biomedical engineering
  • Physiology

Background:

  • Accurate modeling of blood flow is crucial for understanding cardiovascular health.
  • Existing models may have limitations in describing complex transient dynamics.

Purpose of the Study:

  • To develop a novel theoretical formulation for blood flow in the circulatory system.
  • To derive a rational transfer function for pressure and flow dynamics.
  • To establish a time-domain state-space model for transient analysis.

Main Methods:

  • Linearized Navier-Stokes equations were utilized.
  • The Green's function for the propagation problem was computed.
  • An input-output transfer function was derived in rational form.

Main Results:

  • A rational form for the transfer function relating pressure and blood flow was obtained.
  • A time-domain state-space model suitable for transient analysis was developed.
  • Numerical results validated the proposed theoretical formulation.

Conclusions:

  • The new theoretical formulation provides an effective method for describing blood flow.
  • The derived model is suitable for analyzing transient states in the circulatory system.
  • This approach enhances the understanding of cardiovascular dynamics.