Spectral models for 1D blood flow simulations

Author

Tamburrelli, Vincenzopio ; Ferranti, Francesco ; Antonini, Giulio ; Cristina, Saverio ; Dhaene, Tom ; Knockaert, Luc

Author_Institution

Univ. Campus Biomedico, Rome, Italy

fYear

2010

fDate

Aug. 31 2010-Sept. 4 2010

Firstpage

2598

Lastpage

2601

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

Green´s function methods; Navier-Stokes equations; cardiovascular system; flow simulation; haemodynamics; physiological models; state-space methods; time-domain analysis; 1D blood flow simulations; Green´s function; Navier-Stokes equations; circulatory system; downstream pressure; input-output transfer function; propagation problem; spectral models; time domain state space model; upstream pressure; Analytical models; Blood; Computational modeling; Equations; Green´s function methods; Mathematical model; Numerical models; Algorithms; Blood Flow Velocity; Blood Pressure; Computer Simulation; Data Interpretation, Statistical; Hemodynamics; Humans; Models, Cardiovascular; Models, Statistical; Models, Theoretical; Poisson Distribution; Time Factors;

fLanguage

English

Publisher

ieee

Conference_Titel

Engineering in Medicine and Biology Society (EMBC), 2010 Annual International Conference of the IEEE

Conference_Location

Buenos Aires

ISSN

1557-170X

Print_ISBN

978-1-4244-4123-5

Type

conf

DOI

10.1109/IEMBS.2010.5626619

Filename

5626619