title: Spectral models for 1D blood flow simulations.
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.
authors.affiliation: Università Campus Biomedico, Roma, Italy. v.tamburrelli@unicampus.it
authors.forename: Vincenzopio
authors.initials: V
authors.lastname: Tamburrelli
authors.forename: Francesco
authors.initials: F
authors.lastname: Ferranti
authors.forename: Giulio
authors.initials: G
authors.lastname: Antonini
authors.forename: Saverio
authors.initials: S
authors.lastname: Cristina
authors.forename: Tom
authors.initials: T
authors.lastname: Dhaene
authors.forename: Luc
authors.initials: L
authors.lastname: Knockaert
mesh_terms: D000465:Algorithms; D001783:Blood Flow Velocity; D001794:Blood Pressure / Q000502:physiology; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D006439:Hemodynamics; D006801:Humans; D008955:Models, Cardiovascular; D015233:Models, Statistical; D008962:Models, Theoretical; D016012:Poisson Distribution; D013997:Time Factors