Spectral models for 1D blood flow simulations

@article{Tamburrelli2010SpectralMF,
  title={Spectral models for 1D blood flow simulations},
  author={Vincenzopio Tamburrelli and Francesco Ferranti and Giulio Antonini and Saverio Cristina and Tom Dhaene and Luc Knockaert},
  journal={2010 Annual International Conference of the IEEE Engineering in Medicine and Biology},
  year={2010},
  pages={2598-2601}
}
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… CONTINUE READING