B. Alevriadou and L. Mcintire, Rheology. In: Thrombosis and hemorrhage, pp.369-381, 1995.

A. Armillotta, P. Bonhoeffer, G. Dubini, S. Ferragina, F. Migliavacca et al., Use of rapid prototyping models in the planning of percutaneous pulmonary valved stent implantation, Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, vol.86, issue.6, pp.407-416, 2007.
DOI : 10.1243/09544119JEIM83

D. Bardo, D. Frankel, K. Applegate, D. Murphy, and R. Saneto, Hypoplastic Left Heart Syndrome, RadioGraphics, vol.21, issue.3, pp.705-717, 2001.
DOI : 10.1148/radiographics.21.3.g01ma09705

A. Baretta, C. Corsini, W. Yang, I. Vignon-clementel, A. Marsden et al., Virtual surgeries in patients with congenital heart disease: a multi-scale modelling test case, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.1, issue.3, pp.4316-4330, 2011.
DOI : 10.1098/rsfs.2010.0021

URL : https://hal.archives-ouvertes.fr/hal-00650838

A. Baretta, C. Corsini, A. Marsden, I. Vignon-clementel, T. Hsia et al., Respiratory effects on hemodynamics in patient-specific CFD models of the Fontan circulation under exercise conditions, European Journal of Mechanics - B/Fluids, vol.35, pp.61-69
DOI : 10.1016/j.euromechflu.2012.01.012

URL : https://hal.archives-ouvertes.fr/hal-00765808

E. Bove, F. Migliavacca, M. De-leval, R. Balossino, G. Pennati et al., Use of mathematic modeling to compare and predict hemodynamic effects of the modified Blalock???Taussig and right ventricle???pulmonary artery shunts for hypoplastic left heart syndrome, The Journal of Thoracic and Cardiovascular Surgery, vol.136, issue.2, pp.312-320, 2008.
DOI : 10.1016/j.jtcvs.2007.04.078

C. Corsini, D. Cosentino, G. Pennati, G. Dubini, T. Hsia et al., Multiscale models of the hybrid palliation for hypoplastic left heart syndrome, Journal of Biomechanics, vol.44, issue.4, pp.767-770, 2011.
DOI : 10.1016/j.jbiomech.2010.11.001

J. Dillman, A. Dorfman, A. Attili, P. Agarwal, A. Bell et al., Cardiovascular magnetic resonance imaging of hypoplastic left heart syndrome in children, Pediatric Radiology, vol.42, issue.3, pp.261-274, 2010.
DOI : 10.1007/s00247-009-1473-5

C. Dawson, D. Rickaby, J. Linehan, and T. Bronikowski, Distributions of vascular volume and compliance in the lung, J Appl Physiol, vol.64, pp.266-273, 1988.

D. De-zélicourt, K. Pekkan, J. Parks, K. Kanter, M. Fogel et al., Flow study of an extracardiac connection with persistent left superior vena cava, The Journal of Thoracic and Cardiovascular Surgery, vol.131, issue.4, pp.785-791, 2006.
DOI : 10.1016/j.jtcvs.2005.11.031

. Downloaded-by, computer-based surgical planning to address pulmonary arteriovenous malformations in patients with a single ventricle with an interrupted inferior vena cava and azygous continuation, J Thorac Cardiovasc Surg, vol.141, issue.5, pp.41-171170, 2013.

E. Moghadam, M. Bazilevs, Y. Hsia, T. Vignon-clementel, I. Marsden et al., A comparison of outlet boundary treatments for prevention of backflow divergence with relevance to blood flow simulations, Computational Mechanics, vol.65, issue.41???43, pp.277-291, 2011.
DOI : 10.1007/s00466-011-0599-0

URL : https://hal.archives-ouvertes.fr/hal-00650986

E. Moghadam, M. Migliavacca, F. Vignon-clementel, I. Hsia, T. Marsden et al., Optimization of shunt placement for the Norwood surgery using multi-domain modeling, J Biomech Eng, vol.134, issue.5, p.51002, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00765729

F. Fontan and E. Baudet, Surgical repair of tricuspid atresia, Thorax, vol.26, issue.3, pp.240-248, 1971.
DOI : 10.1136/thx.26.3.240

C. Haggerty, D. De-zélicourt, K. Sundareswaran, K. Pekkan, B. Whited et al., Hemodynamic assessment of virtual surgery options for a failing Fontan using lumped parameter simulation, Comput Cardiol, vol.36, pp.389-392, 2009.

K. Laganà, G. Dubini, F. Migliavacca, R. Pietrabissa, G. Pennati et al., Multiscale modelling as a tool to prescribe realistic boundary conditions for the study of surgical procedures, Biorheology, vol.39, pp.3-4359, 2002.

K. Laganà, R. Balossino, F. Migliavacca, G. Pennati, E. Bove et al., Multiscale modeling of the cardiovascular system: application to the study of pulmonary and coronary perfusions in the univentricular circulation, Journal of Biomechanics, vol.38, issue.5, 2005.
DOI : 10.1016/j.jbiomech.2004.05.027

A. Marsden, I. Vignon-clementel, F. Chan, J. Feinstein, and C. Taylor, Effects of Exercise and Respiration on Hemodynamic Efficiency in CFD Simulations of the Total Cavopulmonary Connection, Annals of Biomedical Engineering, vol.2208, issue.6, pp.250-263, 2007.
DOI : 10.1007/s10439-006-9224-3

A. Marsden, A. Bernstein, V. Reddy, S. Shadden, R. Spilker et al., Evaluation of a novel Y-shaped extracardiac Fontan baffle using computational fluid dynamics, The Journal of Thoracic and Cardiovascular Surgery, vol.137, issue.2, pp.394-403, 2009.
DOI : 10.1016/j.jtcvs.2008.06.043

F. Migliavacca, G. Pennati, G. Dubini, R. Fumero, R. Pietrabissa et al., Modeling of the Norwood circulation: effects of shunt size, vascular resistances, and heart rate, Am J Physiol Heart Circ Physiol, vol.280, pp.2076-2086, 2001.

K. Pekkan, D. De-zélicourt, L. Ge, F. Sotiropoulos, D. Frakes et al., Physics-Driven CFD Modeling of Complex Anatomical Cardiovascular Flows?A TCPC Case Study, Annals of Biomedical Engineering, vol.175, issue.2, pp.284-300, 2005.
DOI : 10.1007/s10439-005-1731-0

K. Pekkan, B. Whited, K. Kanter, S. Sharma, D. De-zélicourt et al., Patient-specific surgical planning and hemodynamic computational fluid dynamics optimization through freeform haptic anatomy editing tool (SURGEM), Med Biol Eng Comput, vol.46, pp.1152-1139, 2008.

K. Pekkan, L. Dasi, D. De-zélicourt, K. Sundareswaran, M. Fogel et al., Hemodynamic Performance of Stage-2 Univentricular Reconstruction: Glenn vs. Hemi-Fontan Templates, Annals of Biomedical Engineering, vol.79, issue.6, pp.50-63, 2009.
DOI : 10.1007/s10439-008-9591-z

G. Pennati and R. Fumero, Scaling Approach to Study the Changes Through the Gestation of Human Fetal Cardiac and Circulatory Behaviors, Annals of Biomedical Engineering, vol.28, issue.4, pp.442-452, 2000.
DOI : 10.1114/1.282

G. Pennati, C. Corsini, D. Cosentino, T. Hsia, V. Luisi et al., Boundary conditions of patient-specific fluid dynamics modelling of cavopulmonary connections: possible adaptation of pulmonary resistances results in a critical issue for a virtual surgical planning, Interface Focus, vol.38, issue.7, pp.297-307, 2011.
DOI : 10.1007/s10439-010-9992-7

R. Presson, . Jr, S. Audi, C. Hanger, G. Zenk et al., Anatomic distribution of pulmonary vascular compliance, J Appl Physiol, vol.84, issue.1, pp.303-310, 1998.

S. Schievano, F. Migliavacca, L. Coats, S. Khambadkone, M. Carminati et al., Percutaneous Pulmonary Valve Implantation Based on Rapid Prototyping of Right Ventricular Outflow Tract and Pulmonary Trunk from MR Data, Radiology, vol.242, issue.2, pp.490-497, 2007.
DOI : 10.1148/radiol.2422051994

M. Snyder and V. Rideout, Computer Simulation Studies of the Venous Circulation, IEEE Transactions on Biomedical Engineering, vol.16, issue.4, pp.325-334, 1969.
DOI : 10.1109/TBME.1969.4502663

R. Spilker, J. Feinstein, D. Parker, V. Reddy, and C. Taylor, Morphometry-Based Impedance Boundary Conditions for Patient-Specific Modeling of Blood Flow in Pulmonary Arteries, Annals of Biomedical Engineering, vol.55, issue.4, pp.546-559, 2007.
DOI : 10.1007/s10439-006-9240-3

R. Spilker and C. Taylor, Tuning Multidomain Hemodynamic Simulations to Match Physiological Measurements, Annals of Biomedical Engineering, vol.127, issue.8, 2010.
DOI : 10.1007/s10439-010-0011-9

B. Tang, T. Fonte, F. Chan, P. Tsao, J. Feinstein et al., Three-Dimensional Hemodynamics in the Human Pulmonary Arteries Under Resting and Exercise Conditions, Annals of Biomedical Engineering, vol.127, issue.1, 2010.
DOI : 10.1007/s10439-010-0124-1

G. Troianowski, C. Taylor, J. Feinstein, and I. Vignon-clementel, Three-dimensional simulations in Glenn patients: clinically based boundary conditions, hemodynamic results and sensitivity to input data, J Biomech Eng, vol.133, issue.11, p.111006, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00651023

I. Vignon-clementel, C. Figueroa, K. Jansen, and C. Taylor, Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.29-32, pp.3776-3796, 2006.
DOI : 10.1016/j.cma.2005.04.014

I. Vignon-clementel, A. Marsden, and J. Feinstein, A primer on computational simulation in congenital heart disease for the clinician, Progress in Pediatric Cardiology, vol.30, issue.1-2, pp.3-13, 2010.
DOI : 10.1016/j.ppedcard.2010.09.002

URL : https://hal.archives-ouvertes.fr/inria-00542957

I. Vignon-clementel, C. Figueroa, K. Jansen, and C. Taylor, Outflow boundary conditions for 3D simulations of non-periodic blood flow and pressure fields in deformable arteries, Computer Methods in Biomechanics and Biomedical Engineering, vol.284, issue.5, pp.625-640, 2010.
DOI : 10.1016/0021-9290(69)90024-4

URL : https://hal.archives-ouvertes.fr/inria-00542731

C. Corsini, Use of rapid prototyping models in the planning of percutaneous pulmonary valved stent implantation, Proceedings of the Institution of Mechanical Engineers, pp.407-416, 2007.

D. M. Bardo, D. G. Frankel, K. E. Applegate, D. J. Murphy, and R. P. Saneto, Hypoplastic Left Heart Syndrome, RadioGraphics, vol.21, issue.3, pp.705-717, 2001.
DOI : 10.1148/radiographics.21.3.g01ma09705

A. Baretta, C. Corsini, A. L. Marsden, I. E. Vignon-clementel, T. Y. Hsia et al., Respiratory effects on hemodynamics in patient-specific CFD models of the Fontan circulation under exercise conditions, European Journal of Mechanics - B/Fluids, vol.35, pp.61-69
DOI : 10.1016/j.euromechflu.2012.01.012

URL : https://hal.archives-ouvertes.fr/hal-00765808

A. Baretta, C. Corsini, W. Yang, I. E. Vignon-clementel, A. L. Marsden et al., Virtual surgeries in patients with congenital heart disease: a multi-scale modelling test case, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.1, issue.3, pp.4316-4330
DOI : 10.1098/rsfs.2010.0021

URL : https://hal.archives-ouvertes.fr/hal-00650838

K. M. Berg, W. K. Berg, and F. K. Graham, INFANT HEART RATE RESPONSE AS A FUNCTION OF STIMULUS AND STATE, Psychophysiology, vol.5, issue.1, pp.30-44, 1971.
DOI : 10.1037/h0023258

E. L. Bove, M. R. De-leval, F. Migliavacca, G. Guadagni, and G. Dubini, Computational fluid dynamics in the evaluation of hemodynamic performance of cavopulmonary connections after the norwood procedure for hypoplastic left heart syndrome, The Journal of Thoracic and Cardiovascular Surgery, vol.126, issue.4, pp.1040-1047, 2003.
DOI : 10.1016/S0022-5223(03)00698-6

C. H. Brown, L. B. Leverett, C. W. Lewis, C. P. Alfrey, and J. D. Hellums, Morphological , biochemical, and functional changes in human platelets subjected to shear stress, The Journal of Laboratory and Clinical Medicine, vol.86, pp.462-471, 1975.

D. A. De-zé-licourt, C. M. Haggerty, K. S. Sundareswaran, B. S. Whited, J. R. Rossignac et al., Individualized computer-based surgical planning to address pulmonary arteriovenous malformations in patients with a single ventricle with an interrupted inferior vena cava and azygous continuation, The Journal of Thoracic and Cardiovascular Surgery, vol.141, issue.5, pp.1170-1177, 2011.
DOI : 10.1016/j.jtcvs.2010.11.032

E. Moghadam, M. Bazilevs, Y. Hsia, T. Y. Vignon-clementel, I. E. Marsden et al., A comparison of outlet boundary treatments for prevention of backflow divergence with relevance to blood flow simulations, Computational Mechanics, vol.65, issue.41???43, pp.277-291
DOI : 10.1007/s00466-011-0599-0

URL : https://hal.archives-ouvertes.fr/hal-00650986

E. Moghadam, M. Migliavacca, F. Vignon-clementel, I. E. Hsia, T. Y. Marsden et al., Optimization of shunt placement for the Norwood surgery using multi-domain modeling, Journal of Biomechanical Engineering, vol.134, p.51002, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00765729

A. W. Gale, G. K. Danielson, D. C. Mcgoon, R. B. Wallace, and D. D. Mair, Fontan procedure for tricuspid atresia, Circulation, vol.62, issue.1, pp.91-96, 1980.
DOI : 10.1161/01.CIR.62.1.91

C. Goto, Y. Higashi, M. Kimura, K. Noma, K. Hara et al., Effect of Different Intensities of Exercise on Endothelium-Dependent Vasodilation in Humans: Role of Endothelium-Dependent Nitric Oxide and Oxidative Stress, Circulation, vol.108, issue.5, pp.530-535, 2003.
DOI : 10.1161/01.CIR.0000080893.55729.28

C. C. Long, M. Hsu, Y. Bazilevs, J. A. Feinstein, and A. L. Marsden, Fluid-structure interaction simulations of the Fontan procedure using variable wall properties, International Journal for Numerical Methods in Biomedical Engineering, vol.12, issue.1, pp.513-527, 2012.
DOI : 10.1002/cnm.1485

A. L. Marsden, A. J. Bernstein, V. M. Reddy, S. C. Shadden, R. L. Spilker et al., Evaluation of a novel Y-shaped extracardiac Fontan baffle using computational fluid dynamics, The Journal of Thoracic and Cardiovascular Surgery, vol.137, issue.2, pp.394-403, 2009.
DOI : 10.1016/j.jtcvs.2008.06.043

A. L. Marsden, V. M. Reddy, S. C. Shadden, F. P. Chan, C. A. Taylor et al., A New Multiparameter Approach to Computational Simulation for Fontan Assessment and Redesign, Congenital Heart Disease, vol.8, issue.2, pp.104-117, 2010.
DOI : 10.1111/j.1747-0803.2010.00383.x

A. L. Marsden, I. E. Vignon-clementel, F. P. Chan, J. A. Feinstein, and C. A. Taylor, Effects of Exercise and Respiration on Hemodynamic Efficiency in CFD Simulations of the Total Cavopulmonary Connection, Annals of Biomedical Engineering, vol.2208, issue.6, pp.250-263, 2007.
DOI : 10.1007/s10439-006-9224-3

F. Migliavacca, G. Pennati, G. Dubini, R. Fumero, R. Pietrabissa et al., Modeling of the Norwood circulation: effects of shunt size, vascular resistances, and heart rate, American Journal of Physiology: Heart and Circulatory Physiology, vol.280, pp.2076-2086, 2001.

A. Noordergraaf, D. Verdouw, and H. B. Boom, The use of an analog computer in a circulation model, Progress in Cardiovascular Diseases, vol.5, issue.5, pp.419-439, 1963.
DOI : 10.1016/S0033-0620(63)80009-2

K. Pekkan, L. P. Dasi, D. De-zé-licourt, K. S. Sundareswaran, M. A. Fogel et al., Hemodynamic Performance of Stage-2 Univentricular Reconstruction: Glenn vs. Hemi-Fontan Templates, Annals of Biomedical Engineering, vol.79, issue.6, pp.50-63, 2009.
DOI : 10.1007/s10439-008-9591-z

K. Pekkan, B. Whited, K. Kanter, S. Sharma, D. De-zelicourt et al., Patient-specific surgical planning and hemodynamic computational fluid dynamics optimization through free-form haptic anatomy editing tool (SURGEM), Medical & Biological Engineering & Computing, vol.31, issue.4, pp.1139-1152, 2008.
DOI : 10.1007/s11517-008-0377-0

G. Pennati and R. Fumero, Scaling Approach to Study the Changes Through the Gestation of Human Fetal Cardiac and Circulatory Behaviors, Annals of Biomedical Engineering, vol.28, issue.4, pp.442-452, 2000.
DOI : 10.1114/1.282

S. Schievano, F. Migliavacca, L. Coats, S. Khambadkone, M. Carminati et al., Percutaneous Pulmonary Valve Implantation Based on Rapid Prototyping of Right Ventricular Outflow Tract and Pulmonary Trunk from MR Data, Radiology, vol.242, issue.2, pp.490-497, 2007.
DOI : 10.1148/radiol.2422051994

M. F. Snyder and V. C. Rideout, Computer Simulation Studies of the Venous Circulation, IEEE Transactions on Biomedical Engineering, vol.16, issue.4, pp.325-334, 1969.
DOI : 10.1109/TBME.1969.4502663

M. F. Snyder, V. C. Rideout, and R. J. Hillestad, Computer modeling of the human systemic arterial tree, Journal of Biomechanics, vol.1, issue.4, pp.341-353, 1968.
DOI : 10.1016/0021-9290(68)90029-8

R. L. Spilker, J. A. Feinstein, D. W. Parker, V. M. Reddy, and C. A. Taylor, Morphometry-Based Impedance Boundary Conditions for Patient-Specific Modeling of Blood Flow in Pulmonary Arteries, Annals of Biomedical Engineering, vol.55, issue.4, pp.546-559, 2007.
DOI : 10.1007/s10439-006-9240-3

K. S. Sundareswaran, D. De-zé-licourt, S. Sharma, K. R. Kanter, T. L. Spray et al., Correction of Pulmonary Arteriovenous Malformation Using Image-Based Surgical Planning, JACC: Cardiovascular Imaging, vol.2, issue.8, pp.1024-1030, 2009.
DOI : 10.1016/j.jcmg.2009.03.019

C. A. Taylor, T. J. Hughes, and C. K. Zarins, Finite element modeling of blood flow in arteries, Computer Methods in Applied Mechanics and Engineering, vol.158, issue.1-2, pp.155-196, 1998.
DOI : 10.1016/S0045-7825(98)80008-X

G. Troianowski, C. A. Taylor, J. A. Feinstein, and I. E. Vignon-clementel, Threedimensional simulations in Glenn patients: clinically based boundary conditions, hemodynamic results and sensitivity to input data, Journal of Biomechanical Engineering, vol.133, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00651023

I. E. Vignon-clementel, A. L. Marsden, and J. A. Feinstein, A primer on computational simulation in congenital heart disease for the clinician, Progress in Pediatric Cardiology, vol.30, issue.1-2, pp.3-13, 2010.
DOI : 10.1016/j.ppedcard.2010.09.002

URL : https://hal.archives-ouvertes.fr/inria-00542957

K. K. Whitehead, K. Pekkan, H. D. Kitajima, S. M. Paridon, A. P. Yoganathan et al., Nonlinear Power Loss During Exercise in Single-Ventricle Patients After the Fontan: Insights From Computational Fluid Dynamics, Circulation, vol.116, issue.11_suppl, pp.165-171, 2007.
DOI : 10.1161/CIRCULATIONAHA.106.680827

W. Yang, I. E. Vignon-clementel, G. Troianowski, V. M. Reddy, J. A. Feinstein et al., Hepatic blood flow distribution and performance in conventional and novel Y-graft Fontan geometries: A case series computational fluid dynamics study, The Journal of Thoracic and Cardiovascular Surgery, vol.143, issue.5, pp.1086-1097, 2012.
DOI : 10.1016/j.jtcvs.2011.06.042

URL : https://hal.archives-ouvertes.fr/hal-00649953

. Bibliography, . Armillotta, . Bonhoeffer, . Dubini, . Ferragina et al., Use of rapid prototyping models in the planning of percutaneous pulmonary valved stent implantation, Proceedings of the Institution of Mechanical Engineers, pp.407-416, 2007.

[. Arbia, C. Corsini, C. Baker, and G. Pennati, Tain-Yen Hsia, Irene E Vignon-Clementel, and for MOCHA. Multiscale modeling of pulmonary hemodynamics in first stage single ventricle patients: integrating clinical data and simulations

C. Gregory-arbia, M. Corsini, A. L. Esmaily-moghadam, F. Marsden, G. Migliavacca et al., Numerical blood flow simulation in surgical corrections: what do we need for an accurate analysis?, Journal of Surgical Research, vol.186, issue.1, pp.44-55, 2014.
DOI : 10.1016/j.jss.2013.07.037

[. Arbia, J. F. Gerbeau, T. Y. Hsia, and I. E. , Vignon-Clementel. A new approach for the outflow boundary conditions in threedimensional hemodynamics

A. Bertoglio and . Caiazzo, A tangential regularization method for backflow stabilization in hemodynamics, Journal of Computational Physics, vol.261, pp.162-171, 2014.
DOI : 10.1016/j.jcp.2013.12.057

A. Baretta, C. Corsini, A. L. Marsden, I. E. Vignon-clementel, T. Hsia et al., Respiratory effects on hemodynamics in patient-specific CFD models of the Fontan circulation under exercise conditions, European Journal of Mechanics - B/Fluids, vol.35, issue.35, pp.61-69, 2012.
DOI : 10.1016/j.euromechflu.2012.01.012

URL : https://hal.archives-ouvertes.fr/hal-00765808

L. Edward, M. R. Bove, F. De-leval, G. Migliavacca, G. Guadagni et al., Computational fluid dynamics in the evaluation of hemodynamic performance of cavopulmonary connections after the norwood procedure for hypoplastic left heart syndrome, The Journal of Thoracic and Cardiovascular Surgery, vol.126, issue.4, pp.1040-1047, 2003.

P. J. Blanco, S. Deparis, A. Cristiano, and I. Malossi, On the continuity of mean total normal stress in geometrical multiscale cardiovascular problems, Journal of Computational Physics, vol.251, issue.0, pp.251136-155, 2013.
DOI : 10.1016/j.jcp.2013.05.037

R. [. Blanco and . Feijoo, A dimensionally-heterogeneous closed-loop model for the cardiovascular system and its applications, Medical Engineering & Physics, vol.35, issue.5, pp.652-667, 2013.
DOI : 10.1016/j.medengphy.2012.07.011

Y. Bazilevs, J. R. Gohean, T. J. Hughes, R. D. Moser, and Y. Zhang, Patient-specific isogeometric fluid???structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.45-46, pp.45-463534, 2009.
DOI : 10.1016/j.cma.2009.04.015

P. Bertoglio, J. Moireau, and . Gerbeau, Sequential parameter estimation for fluid-structure problems: Application to hemodynamics, International Journal for Numerical Methods in Biomedical Engineering, vol.36, issue.1-2, pp.434-455, 2012.
DOI : 10.1002/cnm.1476

URL : https://hal.archives-ouvertes.fr/inria-00603399

[. Maury, N. Meunier, A. Soualah, and L. Vial, Outlet Dissipative conditions for air flow in the bronchial tree, ESAIM: Proceedings, vol.14, pp.201-212, 2005.
DOI : 10.1051/proc:2005015

URL : https://hal.archives-ouvertes.fr/hal-00265626

E. [. Brody, A. B. Stemmler, and . Dubois, Longitudinal distribution of vascular resistance in the pulmonary arteries, capillaries, and veins, Journal of Clinical Investigation, vol.47, issue.4, pp.783-799, 1968.
DOI : 10.1172/JCI105773

S. [. Blanco, R. A. Watanabe, and . Feijóo, Identification of vascular territory resistances in one-dimensional hemodynamics simulations, Journal of Biomechanics, vol.45, issue.12, pp.2066-2073, 2012.
DOI : 10.1016/j.jbiomech.2012.06.002

. Cbk-+-13-]-c, C. Corsini, E. Baker, S. Kung, G. Schievano et al., An integrated approach to patient-specific predictive modeling for single ventricle heart palliation, Computer Methods in Biomechanics and Biomedical Engineering, pp.1-18, 2013.

J. [. Causin, F. Gerbeau, and . Nobile, Added-mass effect in the design of partitioned algorithms for fluid???structure problems, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.42-44, pp.42-444506, 2005.
DOI : 10.1016/j.cma.2004.12.005

URL : https://hal.archives-ouvertes.fr/hal-00695954

. R. Dda-+-10-]-j, A. L. Dillman, A. K. Dorfman, P. P. Attili, A. Agarwal et al., Cardiovascular magnetic resonance imaging of hypoplastic left heart syndrome in children, Pediatric Radiology, issue.3, pp.40261-274, 2010.

]. C. Deg08 and . Degroff, Modeling the fontan circulation: Where we are and where we need to go, Pediatric Cardiology, vol.29, issue.1, pp.3-12, 2008.

]. M. De-leval and J. E. Deanfield, Four decades of Fontan palliation, Nature Reviews Cardiology, vol.2, issue.9, pp.520-527, 2010.
DOI : 10.1038/nrcardio.2010.99

T. Dobroserdova and M. Olshanskii, A finite element solver and energy stable coupling for 3D and 1D fluid models, Computer Methods in Applied Mechanics and Engineering, vol.259, pp.166-176, 2013.
DOI : 10.1016/j.cma.2013.03.018

. Dsmdb-+-10-]-g-de-santis, . Mortier, . De-beule, . Segers, B. Verdonck et al., Patient-specific computational fluid dynamics: structured mesh generation from coronary angiography, Medical & Biological Engineering & Computing, vol.202, issue.4, pp.371-380, 2010.
DOI : 10.1007/s11517-010-0583-4

A. Diane, A. De-zélicourt, . Marsden, A. Mark, . Fogel et al., Imaging and patient-specific simulations for the fontan surgery: Current methodologies and clinical applications, Progress in Pediatric Cardiology, vol.30, issue.1, pp.31-44, 2010.

J. [. Formaggia, F. Gerbeau, A. Nobile, and . Quarteroni, On the coupling of 3d and 1d navier-stokes equations for flow 164 problems in compliant vessels, Computer Methods in Applied Mechanics and Engineering, vol.191, pp.6-7561, 2001.

J. Fouchet-incaux, Artificial boundaries and formulations for the incompressible Navier???Stokes equations: applications to air and blood flows, SeMA Journal, vol.26, issue.7, pp.1-40, 2014.
DOI : 10.1007/s40324-014-0012-y

URL : https://hal.archives-ouvertes.fr/hal-00926273

A. [. Formaggia, F. Moura, and . Nobile, On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations, ESAIM: Mathematical Modelling and Numerical Analysis, vol.41, issue.4, pp.743-769, 2007.
DOI : 10.1051/m2an:2007039

A. [. Formaggia, C. Quarteroni, and . Vergara, On the physical consistency between three-dimensional and one-dimensional models in haemodynamics, Journal of Computational Physics, vol.244, pp.97-112, 2013.
DOI : 10.1016/j.jcp.2012.08.001

C. A. Figueroa, I. E. Vignon-clementel, K. E. Jansen, T. J. Hughes, and C. A. Taylor, A coupled momentum method for modeling blood flow in three-dimensional deformable arteries, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.41-43, pp.41-435685, 2006.
DOI : 10.1016/j.cma.2005.11.011

. Gcy-+-12-]-v, A. Gravemeier, L. Comerford, M. Yoshihara, W. A. Ismail et al., A novel formulation for neumann inflow boundary conditions in biomechanics, International Journal for Numerical Methods in Biomedical Engineering, vol.28, issue.5, pp.560-573, 2012.

J. M. Greve, A. S. Les, B. T. Tang, M. T. Draney-blomme, N. M. Wilson et al., Allometric scaling of wall shear stress from mice to humans: quantification using cine phase-contrast MRI and computational fluid dynamics, AJP: Heart and Circulatory Physiology, vol.291, issue.4, pp.1700-1708, 2006.
DOI : 10.1152/ajpheart.00274.2006

R. Guibert, K. Mcleod, A. Caiazzo, T. Mansi, M. Fernández et al., Group-wise construction of reduced models for understanding and characterization of pulmonary blood flows from medical images, Medical Image Analysis, vol.18, issue.1, pp.63-82, 2013.
DOI : 10.1016/j.media.2013.09.003

URL : https://hal.archives-ouvertes.fr/hal-00874545

C. Geuzaine and J. Remacle, Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities, International Journal for Numerical Methods in Engineering, vol.69, issue.4, pp.791309-1331, 2009.
DOI : 10.1002/nme.2579

R. [. Gresho, M. S. Sani, and . Engelman, Incompressible Flow and the Finite Element Method, 1998.

B. Ganapathysubramanian and N. Zabaras, Sparse grid collocation schemes for stochastic natural convection problems, Journal of Computational Physics, vol.225, issue.1, pp.652-685, 2007.
DOI : 10.1016/j.jcp.2006.12.014

D. Hsia, C. Cosentino, G. Corsini, G. Pennati, and . Dubini, Francesco Migliavacca, and Hearts Modeling Congenital. Use of mathematical modeling to compare and predict hemodynamic effects between hybrid and surgical norwood palliations for hypoplastic left heart syndrome, Circulation, vol.11, issue.11, pp.124-204, 2011.

R. [. Heywood, S. Rannacher, and . Turek, ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS, International Journal for Numerical Methods in Fluids, vol.8, issue.5, pp.325-352, 1996.
DOI : 10.1002/(SICI)1097-0363(19960315)22:5<325::AID-FLD307>3.0.CO;2-Y

I. Vignon-clementel, A Coupled Multidomain Method for Computational Modeling of Blood Flow, 2006.

[. Ismail, . Gravemeier, W. Comerford, and . Wall, A stable approach for coupling multidimensional cardiovascular and pulmonary networks based on a novel pressure-flow rate or pressure-only Neumann boundary condition formulation, International Journal for Numerical Methods in Biomedical Engineering, vol.28, issue.5, pp.447-469, 2014.
DOI : 10.1002/cnm.2611

W. [. Ismail, M. W. Wall, and . Gee, Adjoint-based inverse analysis of windkessel parameters for patient-specific vascular models, Journal of Computational Physics, vol.244, pp.113-130, 2013.
DOI : 10.1016/j.jcp.2012.10.028

F. Hsia and . Migliavacca, Predictive modeling of the virtual hemi-fontan operation for second stage single ventricle palliation: Two patient-specific cases, Journal of Biomechanics, vol.46, issue.2, pp.423-429, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00765797

. P. Kkc-+-13-]-a, S. Kuprat, J. P. Kabilan, R. A. Carson, D. R. Corley et al., A bidirectional coupling procedure applied to multiscale respiratory modeling. Multi-scale Modeling and Simulation of Biological Systems, pp.244148-167, 2013.

[. Klimke, Uncertainty modeling using fuzzy arithmetic and sparse grids, 2006.

[. Klimke, Sparse Grid Interpolation Toolbox ? user's guide, 2007.

. O. Kos-+-13-]-v, W. O. Kheyfets, T. Dell, J. J. Smith, and E. A. Reilly, Considerations for numerical modeling of the pulmonary circulation?a review with a focus on pulmonary hypertension, Journal of biomechanical engineering, vol.135, issue.6, pp.61011-61026, 2013.

. J. Kvcc-+-10-]-h, I. E. Kim, J. S. Vignon-clementel, C. A. Coogan, K. E. Figueroa et al., Patient-specific modeling of blood flow and pressure in human coronary arteries, Annals of Biomedical Engineering, issue.10, pp.383195-3209, 2010.

. J. Kvcf-+-10-]-h, I. E. Kim, C. A. Vignon-clementel, K. E. Figueroa, C. A. Jansen et al., Developing computational methods for three-dimensional finite element simulations of coronary blood flow, Finite Elements in Analysis and Design, issue.6, pp.46514-525, 2010.

J. S. Leiva, P. J. Blanco, and G. C. Buscaglia, Iterative strong coupling of dimensionally heterogeneous models, International Journal for Numerical Methods in Engineering, vol.197, issue.12, pp.1558-1580, 2010.
DOI : 10.1002/nme.2741

]. P. Lbmdw12, S. M. Luijendijk, B. J. Boekholdt, R. J. Mulder, . De et al., Percutaneous treatment of native aortic coarctation in adults, Netherlands Heart Journal, vol.20, issue.78, pp.339-340, 2012.

. Jr, J. F. Ladisa, J. Ronak, C. A. Dholakia, I. E. Figueroa et al., Computational simulations demonstrate altered wall shear stress in aortic coarctation patients treated by resection with end-to-end anastomosis, Congenital Heart Disease, vol.6, issue.115, pp.432-443, 2011.

. Ldm-+-02-]-k, G. Lagana, F. Dubini, R. Migliavacca, G. Pietrabissa et al., Multiscale modelling as a tool to prescribe realistic boundary conditions for the study of surgical procedures, Biorheology, vol.39, pp.3-4359, 2002.

A. S. Les, S. C. Shadden, C. A. Figueroa, J. M. Park, M. M. Tedesco et al., Quantification of Hemodynamics in Abdominal Aortic Aneurysms During Rest and Exercise Using Magnetic Resonance Imaging and Computational Fluid Dynamics, Annals of Biomedical Engineering, vol.44, issue.4, pp.1288-1313, 2010.
DOI : 10.1007/s10439-010-9949-x

I. [. Cristiano, P. J. Malossi, S. Blanco, A. Deparis, and . Quarteroni, Algorithms for the partitioned solution of weakly coupled fluid models for cardiovascular flows, International Journal for Numerical Methods in Biomedical Engineering, vol.27, issue.12, pp.2035-2057, 2011.

. E. Mbh-+-11-]-m, Y. Moghadam, T. Y. Bazilevs, I. E. Hsia, and A. L. Vignon-clementel, Marsden, and Allianc Modeling Congenital Hearts. A comparison of outlet boundary treatments for prevention of backflow divergence with relevance to blood flow simulations, Computational Mechanics, issue.3, pp.48277-291, 2011.

F. Migliavacca, R. Balossino, G. Pennati, G. Dubini, T. Y. Hsia et al., Multiscale modelling in biofluidynamics: Application to reconstructive paediatric cardiac surgery, Journal of Biomechanics, vol.39, issue.6, pp.391010-1020, 2006.
DOI : 10.1016/j.jbiomech.2005.02.021

. Mbx-+-13-]-p, C. Moireau, N. Bertoglio, C. A. Xiao, C. A. Figueroa et al., Sequential identification of boundary support parameters in a fluid-structure vascular model using patient image data, Biomechanics and Modeling in Mechanobiology, vol.12, issue.3, pp.475-496, 2013.

. G. Mkv-+-11-]-h, M. Morales, E. E. Kim, M. C. Vivas, I. Villa-uriol et al., How do coil configuration and packing density influence intraaneurysmal hemodynamics?, pp.321935-1941, 2011.

F. Mmvc-+-12-]-mahdi-esmaily-moghadam and I. E. Migliavacca, Vignon-Clementel, Tain-Yen Hsia, Alison L. Marsden, and Allianc Modeling Congenital Hearts. Optimization of shunt placement for the norwood surgery using multi-domain modeling, Journal of Biomechanical Engineering-Transactions of the Asme, vol.134, issue.5, p.2012

F. Migliavacca, G. Pennati, G. Dubini, R. Fumero, R. Pietrabissa et al., Modeling of the norwood circulation: effects of shunt size, vascular resistances , and heart rate, American Journal of Physiology -Heart and Circulatory Physiology, vol.280, issue.5, pp.2076-2086, 2001.

]. J. Msl-+-05, O. Muller, X. Sahni, K. E. Li, M. S. Jansen et al., Anisotropic adaptive finite element method for modelling blood flow, Computer Methods in Biomechanics and Biomedical Engineering, vol.8, issue.5, pp.295-305, 2005.

. L. Mvcc-+-07-]-a, I. E. Marsden, F. P. Vignon-clementel, J. A. Chan, C. A. Feinstein et al., Effects of exercise and respiration on hemodynamic efficiency in cfd simulations of the total cavopulmonary connection, Annals of Biomedical Engineering, vol.35, issue.2, pp.250-263, 2007.

I. E. Mvcf-+-13-]-mahdi-esmaily-moghadam, R. Vignon-clementel, and A. L. Figliola, A modular numerical method for implicit 0D/3D coupling in cardiovascular finite element simulations, Journal of Computational Physics, vol.244, pp.63-79, 2013.
DOI : 10.1016/j.jcp.2012.07.035

P. [. Norwood, A. R. Lang, D. N. Casteneda, and . Campbell, Experience with operations for hypoplastic left heart syndrome, The Journal of thoracic and cardiovascular surgery, vol.82, issue.4, pp.511-520, 1981.

J. N. Oshinski, D. N. Ku, and R. I. Pettigrew, Turbulent Fluctuation Velocity: The Most Significant Determinant of Signal Loss in Stenotic Vessels, Magnetic Resonance in Medicine, vol.7, issue.2, pp.193-199, 1995.
DOI : 10.1002/mrm.1910330208

R. [. Leary, T. S. Fiori, and . Hakim, Perioperative distribution of pulmonary vascular resistance in patients undergoing coronary artery surgery, Anesthesia and analgesia, vol.82, pp.958-963, 1996.

. Ott-+-12-]-m, R. Oshima, S. Torii, S. Tokuda, A. Yamada et al., Patient-specific modeling and multi-scale blood simulation for computational hemodynamic study on the human cerebrovascular system, Current Pharmaceutical Biotechnology, issue.11, pp.132153-2165, 2012.

. G. Pah-+-98-]-r, S. H. Presson, C. C. Audi, G. M. Hanger, R. A. Zenk et al., Anatomic distribution of pulmonary vascular compliance, Journal of Applied Physiology, vol.84, pp.303-310, 1998.

. Pcc-+-11-]-g, C. Pennati, D. Corsini, T. Cosentino, V. S. Hsia et al., Boundary conditions of patientspecific fluid dynamics modelling of cavopulmonary connections: possible adaptation of pulmonary resistances results in a critical issue for a virtual surgical planning, Interface Focus, vol.1, issue.3, pp.297-307, 2011.

. Pdzg-+-05-]-k, D. Pekkan, L. De-zelicourt, F. Ge, D. Sotiropoulos et al., Physics-driven cfd modeling of complex anatomical cardiovascular flows -a tcpc case study, Annals of Biomedical Engineering, vol.33, issue.3, pp.284-300, 2005.

[. Pant, B. Fabrèges, J. Gerbeau, and I. , A Multiscale Filtering-Based Parameter Estimation Method for Patient-Specific Coarctation Simulations in Rest and Exercise, Statistical Atlases and Computational Models of the Heart. Imaging and Modelling Challenges, pp.102-109, 2014.
DOI : 10.1007/978-3-642-54268-8_12

URL : https://hal.archives-ouvertes.fr/hal-00911339

[. Pant, G. Limbert, N. P. Curzen, and N. W. Bressloff, Multiobjective design optimisation of coronary stents, Biomaterials, vol.32, issue.31, pp.7755-7773, 2011.
DOI : 10.1016/j.biomaterials.2011.07.059

L. K. Prasad, . To, L. Madhu, C. K. Gorrepati, C. A. Zarins et al., Computational Analysis of Stresses Acting on Intermodular Junctions in Thoracic Aortic Endografts, Journal of Endovascular Therapy, vol.18, issue.4, pp.559-568, 2011.
DOI : 10.1583/11-3472.1

P. [. Porpora, C. Zunino, M. Vergara, and . Piccinelli, Numerical treatment of boundary conditions to replace lateral branches in hemodynamics, International Journal for Numerical Methods in Biomedical Engineering, vol.30, issue.4, pp.1165-1183, 2012.
DOI : 10.1002/cnm.2488

. Qli-+-10-]-y, J. L. Qian, K. Liu, K. Itatani, M. Miyaji et al., Computational hemodynamic analysis in congenital heart disease: Simulation of the norwood procedure, Annals of Biomedical Engineering, vol.38, issue.7, pp.2302-2313, 2010.

A. G. Radaellia, L. Augsburger, J. R. Cebral, M. Ohta, D. A. Ruefenacht et al., Reproducibility of haemodynamical simulations in a subject-specific stented aneurysm model -a report on the virtual intracranial stenting challenge, Journal of Biomechanics, issue.10, pp.412069-2081, 2007.

. P. Sds-+-08-]-j, S. L. Schmidt, M. A. Delp, C. A. Sherman, V. S. Taylor et al., The simbios national center: Systems biology in motion, Proc IEEE Inst Electr Electron Eng, issue.8, p.961266, 2008.

. Ryanl, . Spilker, . Jeffreya, . Feinstein, . Davidw et al., Morphometry-based impedance boundary conditions for patient-specific modeling of blood flow in pulmonary arteries, Annals of Biomedical Engineering, vol.35, issue.4, pp.546-559, 2007.

A. David, Y. Steinman, P. Hoi, L. Fahy, M. T. Morris et al., Variability of computational fluid dynamics solutions for pressure and flow in a giant aneurysm: The asme 2012 summer bioengineering conference cfd challenge, Journal of Biomechanical Engineering-Transactions of the Asme, vol.135, issue.2, p.2013

S. Schievano, F. Migliavacca, L. Coats, S. Khambadkone, M. Carminati et al., Percutaneous Pulmonary Valve Implantation Based on Rapid Prototyping of Right Ventricular Outflow Tract and Pulmonary Trunk from MR Data, Radiology, vol.242, issue.2, pp.242490-497, 2007.
DOI : 10.1148/radiol.2422051994

. Smj-+-06-]-o, J. Sahni, K. Muller, M. Jansen, C. Shephard et al., Efficient anisotropic adaptive discretization of the cardiovascular system, Computer Methods in Applied Mechanics and Engineering, vol.195, pp.5634-5655, 2006.

C. Sandyf, E. Stewart, G. Paterson, P. Burgreen, M. Hariharan et al., Assessment of cfd performance in simulations of an idealized medical device: Results of fda s first computational interlaboratory study, Cardiovascular Engineering and Technology, vol.3, issue.2, pp.139-160, 2012.

. Ryanl, . Spilker, . Charlesa, and . Taylor, Tuning multidomain hemodynamic simulations to match physiological measurements, Annals of Biomedical Engineering, vol.38, issue.8, pp.2635-2648, 2010.

B. D. Seeley and D. F. Young, Effect of geometry on pressure losses across models of arterial stenoses, Journal of Biomechanics, vol.9, issue.7, pp.439-448, 1976.
DOI : 10.1016/0021-9290(76)90086-5

C. A. Taylor and C. A. Figueroa, Patient-Specific Modeling of Cardiovascular Mechanics, Annual Review of Biomedical Engineering, vol.11, issue.1, pp.109-134, 2009.
DOI : 10.1146/annurev.bioeng.10.061807.160521

R. Torii and M. Oshima, An integrated geometric modelling framework for patient-specific computational haemodynamic study on wide-ranged vascular network, Computer Methods in Biomechanics and Biomedical Engineering, vol.48, issue.9, pp.615-625, 2012.
DOI : 10.1016/j.cma.2007.02.009

[. Troianowski, A. Charles, . Taylor, A. Jeffrey, I. E. Feinstein et al., Three-dimensional simulations in glenn patients: clinically based boundary conditions, hemodynamic results and sensitivity to input data, Journal of Biomechanical Engineering, vol.133, p.111006, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00651023

C. [. Vignon-clementel, K. E. Figueroa, C. A. Jansen, and . Taylor, Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.29-32, pp.29-323776, 2006.
DOI : 10.1016/j.cma.2005.04.014

C. [. Vignon-clementel, K. E. Figueroa, C. A. Jansen, and . Taylor, Outflow boundary conditions for 3D simulations of non-periodic blood flow and pressure fields in deformable arteries, Computer Methods in Biomechanics and Biomedical Engineering, vol.284, issue.5, pp.625-640, 2010.
DOI : 10.1016/0021-9290(69)90024-4

URL : https://hal.archives-ouvertes.fr/inria-00542731

E. Vcmf10-]-irene, A. L. Vignon-clementel, . Marsden, A. Jeffrey, and . Feinstein, A primer on computational simulation in congenital heart disease for the clinician, Progress in Pediatric Cardiology, vol.30, issue.1, pp.3-13, 2010.

. P. Ycs-+-88-]-a, E. G. Yoganathan, H. W. Cape, F. P. Sung, A. Williams et al., Review of hydrodynamic principles for the cardiologist: applications to the study of blood flow and jets by imaging techniques, Journal of the American College of Cardiology, vol.12, issue.5, pp.1344-53, 1988.

J. A. Yang, S. C. Feinstein, I. E. Shadden, A. L. Vignon-clementel, and . Marsden, Optimization of a Y-Graft Design for Improved Hepatic Flow Distribution in the Fontan Circulation, Journal of Biomechanical Engineering, vol.135, issue.1, p.2013
DOI : 10.1115/1.4023089

URL : https://hal.archives-ouvertes.fr/hal-00765804

I. Yeung, R. J. Perkash, C. A. Herfkens, R. L. Taylor, and . Dalman, Aortoiliac hemodynamic and morphologic adaptation to chronic spinal cord injury, Journal of Vascular Surgery, vol.44, issue.6, pp.1254-1265, 2006.
DOI : 10.1016/j.jvs.2006.08.026

W. Yang, I. E. Vignon-clementel, G. Troianowski, V. Mohan-reddy, J. A. Feinstein et al., Hepatic blood flow distribution and performance in conventional and novel Y-graft Fontan geometries: A case series computational fluid dynamics study, The Journal of Thoracic and Cardiovascular Surgery, vol.143, issue.5, pp.1086-1097, 2012.
DOI : 10.1016/j.jtcvs.2011.06.042

URL : https://hal.archives-ouvertes.fr/hal-00649953