W. R. Milnor and . Hemodynamics, , 1989.

G. W. Morgan and W. R. Ferrante, Wave Propagation in Elastic Tubes Filled with Streaming Liquid, J Acoust Soc Am, vol.27, issue.4, pp.715-725, 1955.

K. Witzig, Uber erzwungene Wellenbewegungen zaher, inkompressibler Flussigkeiten in elastischen Rohren, 1914.

P. Lambossy, Oscillations forcees d'un liquide incompressibile et visqueux dans un tube rigide et horizontal. Calcul de la force frottement, Helv Phys Acta, vol.25, pp.371-386, 1952.

W. W. Nichols, M. F. O'rourke, and C. Vlachopoulos, McDonald's Blood Flow in Arteries: Theoretical, Experimental and Clinical Principles. Sixth. Hodder Arnold, 2011.

G. Papadakis, New analytic solutions for wave propagation in flexible, tapered vessels with reference to mammalian arteries, J Fluid Mech, vol.689, pp.465-488, 2011.

G. P. Panasenko and R. Stavre, Asymptotic analysis of the Stokes flow in a thin cylindrical elastic tube, Appl Anal, vol.91, issue.11, pp.1999-2027, 2012.

I. Sazonov and P. Nithiarasu, A novel, FFT-based one-dimensional blood flow solution method for arterial network, Biomech Model Mechanobiol, 2019.

J. R. Womersley, Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known, Annu Rev Fluid Mech, issue.127, pp.553-563, 1955.

J. R. Womersley, An Elastic Tube Theory of Pulse Transmission and Ossilatory Flow in Mammalian Arteries, 1957.

J. R. Womersley, Oscillatory Flow in Arteries : the Constrained Elastic Tube as a Model of Arterial Flow and Pulse Transmission, Phys Med Biol, vol.2, issue.2, pp.178-187, 1957.

J. R. Womersley, III: Flow and pulse-velocity formulae for a liquid whose viscosity varies with frequency, Phys Med Biol, vol.2, issue.4, pp.374-382, 1958.

J. R. Womersley, Oscillatory motion of a viscous liquid in a thin-walled elastic tube-I: The linear approximation for long waves, Philos Mag J Sci, vol.46, issue.373, pp.199-221, 1955.

K. Perktold and G. Rappitsch, Computer Simulation of Local Blood Flow and Vessel Mechanics in a Compliant Carotid Artery Bifurcation Model, vol.28, pp.845-856, 1995.

J. F. Gerbeau, M. Vidrascu, and P. Frey, Fluid-structure interaction in blood flows on geometries based on medical imaging, Comput Struct, vol.83, issue.2-3, pp.155-165, 2005.

Y. Bazilevs, V. M. Calo, Y. Zhang, and T. Hughes, Isogeometric fluid-structure interaction analysis with applications to arterial blood flow, Comput Mech, vol.38, issue.4-5, pp.310-322, 2006.

C. S. Peskin, Flow Patterns Around Heart Valves: A Numerical Method, vol.10, pp.252-271, 1972.

C. S. Peskin, The immersed boundary method, Acta Numer, vol.11, pp.479-517, 2002.

F. Baaijens, A fictitious domain/mortar element method for fluid-structure interaction, Int J Numer Methods Fluids, vol.35, issue.7, pp.743-761, 2001.

C. A. Figueroa, I. E. Vignon-clementel, K. E. Jansen, T. Hughes, and C. A. Taylor, A coupled momentum method for modeling blood flow in three-dimensional deformable arteries, Comput Methods Appl Mech Eng, vol.195, pp.5685-5706, 2006.

N. Xiao, J. D. Humphrey, and C. A. Figueroa, Multi-scale computational model of three-dimensional hemodynamics within a deformable full-body arterial network, J Comput Phys, vol.244, pp.22-40, 2013.

D. R. Hose, P. V. Lawford, A. J. Narracott, J. Penrose, and I. P. Jones, Fluid-solid interaction: Benchmarking of an external coupling of ANSYS with CFX for cardiovascular applications, J Med Eng Technol, vol.27, issue.1, pp.23-31, 2003.

V. Kanyanta, A. Ivankovic, and A. Karac, Validation of a fluid-structure interaction numerical model for predicting flow transients in arteries, J Biomech, vol.42, issue.11, pp.1705-1712, 2009.

R. Ponzini, C. Vergara, and G. Rizzo, Womersley number-based estimates of blood flow rate in doppler analysis: In vivo validation by means of phase-contrast MRI, IEEE Trans Biomed Eng, vol.57, issue.7, pp.1807-1815, 2010.

M. Van-geel, C. G. Giannopapa, and B. J. Van-der-linden, Development of a Blood Flow Model and Validation against Experimets and Analytical Models, 2011.

T. Passerini, A. Quaini, U. Villa, A. Veneziani, and S. Canic, Validation of an open source framework for the simulation of blood flow in rigid and deformable vessels, Int j numer method biomed eng, vol.29, issue.11, pp.1192-1213, 2013.

E. B. Wylie and V. L. Streeter, Fluid Transients in Systems, 1993.

D. C. Wiggert and A. S. Tijsseling, Fluid transients and fluid-structure interaction in flexible liquid-filled piping, Appl Mech Rev, vol.54, issue.5, p.455, 2001.

I. E. Vignon-clementel, A. Figueroa, C. Jansen, K. E. Taylor, and C. A. , Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries, Comput Methods Appl Mech Eng, vol.195, pp.3776-3796, 2006.

I. E. Vignon and C. A. Taylor, Outflow boundary conditions for one-dimensional finite element modeling of blood flow and pressure waves in arteries, Wave Motion, vol.39, issue.4, pp.361-374, 2004.

G. I. Barenblatt and . Scaling, Self-Similarity, and Intermediate Asymptotics: Dimensional Analysis and Intermediate Asymptotics, 1996.

M. Zamir, The Physics of Pulsatile Flow, 2000.

M. S. Olufsen, C. S. Peskin, W. Y. Kim, E. M. Pedersen, A. Nadim et al., Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions, Ann Biomed Eng, vol.28, issue.11, pp.1281-1299, 2000.

K. Azer and C. S. Peskin, A one-dimensional model of blood flow in arteries with friction and convection based on the Womersley velocity profile, Crimson software, vol.7, pp.51-73, 2007.

C. A. Figueroa, A Coupled-Momentum Method to Model Blood Flow and Vessel Deformation in Human Arteries : Applications in Disease Research amd Simulation-based Medical Planning, 2006.

Y. C. Fung, Biomechanics: Circulation, p.30, 1997.

N. Pomella, E. N. Wilhelm, C. Kolyva, J. González-alonso, M. Rakobowchuk et al., Common Carotid Artery Diameter, Blood Flow Velocity and Wave Intensity Responses at Rest and during Exercise in Young Healthy Humans: A Reproducibility Study, Ultrasound Med Biol, vol.43, issue.5, pp.943-957, 2017.

I. E. Vignon-clementel, C. A. Figueroa, K. E. Jansen, and C. A. Taylor, Outflow boundary conditions for 3D simulations of non-periodic blood flow and pressure fields in deformable arteries, Comput Methods Biomech Biomed Engin, vol.13, issue.5, pp.625-640, 2010.
URL : https://hal.archives-ouvertes.fr/inria-00542731

N. R. Gaddum, J. Alastruey, P. Beerbaum, P. Chowienczyk, and T. Schaeffter, A technical assessment of pulse wave velocity algorithms applied to non-invasive arterial waveforms, Ann Biomed Eng, vol.41, issue.12, pp.2617-2629, 2013.

C. A. Taylor and C. A. Figueroa, Patient-Specific Modeling of Cardiovascular Mechanics, Annu Rev Biomed Eng, vol.11, issue.1, pp.109-134, 2009.

E. Kung, A. Baretta, and C. Baker, Predictive modeling of the virtual Hemi-Fontan operation for second stage single ventricle palliation: Two patient-specific cases, J Biomech, vol.46, issue.2, pp.423-429, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00765797

P. Moireau, N. Xiao, and M. Astorino, External tissue support and fluid-structure simulation in blood flows, Biomech Model Mechanobiol, vol.11, issue.1-2, pp.1-18, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00701801