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Abstract
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.
Keywords
physiological models, spectral models, state-space methods, Navier-Stokes equations, haemodynamics, Green's function methods, cardiovascular system, time domain state space model, flow simulation, upstream pressure, downstream pressure, input-output transfer function, Green's function, propagation problem, time-domain analysis, 1D blood flow simulations, circulatory system

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Citation

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Chicago
Tamburrelli, Vincenzopio, Francesco Ferranti, Giulio Antonini, Saverio Cristina, Tom Dhaene, and Luc Knockaert. 2010. “Spectral Models for 1D Blood Flow Simulations.” In IEEE Engineering in Medicine and Biology Society Conference Proceedings, 2598–2601. New York, NY, USA: IEEE.
APA
Tamburrelli, V., Ferranti, F., Antonini, G., Cristina, S., Dhaene, T., & Knockaert, L. (2010). Spectral models for 1D blood flow simulations. IEEE Engineering in Medicine and Biology Society Conference Proceedings (pp. 2598–2601). Presented at the 2010 32nd Annual international conference of the IEEE Engineering in Medicine and Biology Society (EMBC 2010) : Merging medical humanism and technology, New York, NY, USA: IEEE.
Vancouver
1.
Tamburrelli V, Ferranti F, Antonini G, Cristina S, Dhaene T, Knockaert L. Spectral models for 1D blood flow simulations. IEEE Engineering in Medicine and Biology Society Conference Proceedings. New York, NY, USA: IEEE; 2010. p. 2598–601.
MLA
Tamburrelli, Vincenzopio, Francesco Ferranti, Giulio Antonini, et al. “Spectral Models for 1D Blood Flow Simulations.” IEEE Engineering in Medicine and Biology Society Conference Proceedings. New York, NY, USA: IEEE, 2010. 2598–2601. Print.
@inproceedings{1140766,
  abstract     = {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.},
  author       = {Tamburrelli, Vincenzopio and Ferranti, Francesco and Antonini, Giulio and Cristina, Saverio and Dhaene, Tom and Knockaert, Luc},
  booktitle    = {IEEE Engineering in Medicine and Biology Society Conference Proceedings},
  isbn         = {9781424441235},
  issn         = {1557-170X},
  keyword      = {physiological models,spectral models,state-space methods,Navier-Stokes equations,haemodynamics,Green's function methods,cardiovascular system,time domain state space model,flow simulation,upstream pressure,downstream pressure,input-output transfer function,Green's function,propagation problem,time-domain analysis,1D blood flow simulations,circulatory system},
  language     = {eng},
  location     = {Buenos Aires, Argentina},
  pages        = {2598--2601},
  publisher    = {IEEE},
  title        = {Spectral models for 1D blood flow simulations},
  url          = {http://dx.doi.org/10.1109/IEMBS.2010.5626619},
  year         = {2010},
}

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