I. Vignon-clementel, C. Figueroa, K. Jansen, and T. Ca, 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, 2006.
DOI : 10.1016/j.cma.2005.04.014

A. Quarteroni, A. Veneziani, and C. Vergara, Geometric multiscale modeling of the cardiovascular system, between theory and practice, Computer Methods in Applied Mechanics and Engineering, vol.302, pp.193-252, 2016.
DOI : 10.1016/j.cma.2016.01.007

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, 1954.
DOI : 10.1098/rsfs.2010.0021

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

P. Segers, E. Rietzschel, D. Buyzere, M. Stergiopulos, N. Westerhof et al., Three- and four-element Windkessel models: Assessment of their fitting performance in a large cohort of healthy middle-aged individuals, Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, vol.49, issue.6, pp.417-428, 2008.
DOI : 10.1243/09544119JEIM287

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

M. Ismail, W. Wall, and M. Gee, Adjoint-based inverse analysis of windkessel parameters for patient-specific vascular models, Journal of Computational Physics, vol.244, pp.113-130, 2012.
DOI : 10.1016/j.jcp.2012.10.028

K. Sughimoto, F. Liang, Y. Takahara, K. Mogi, K. Yamazaki et al., Assessment of cardiovascular function by combining clinical data with a computational model of the cardiovascular system, The Journal of Thoracic and Cardiovascular Surgery, vol.145, issue.5, pp.1367-1372, 2013.
DOI : 10.1016/j.jtcvs.2012.07.029

N. Xiao, J. Alastruey, A. Figueroa, and C. , A systematic comparison between 1-D and 3-D hemodynamics in compliant arterial models, International Journal for Numerical Methods in Biomedical Engineering, vol.168, issue.2, 2013.
DOI : 10.1002/cnm.2598

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

G. Arbia, C. Corsini, C. Baker, G. Pennati, and T. Hsia, Vignon-Clementel I. Pulmonary Hemodynamics Simulations Before Stage 2 Single Ventricle Surgery: Patient-Specific Parameter Identification and Clinical Data Assessment, Cardiovasc Eng Technol, pp.1-13, 2015.

C. Hann, J. Chase, and G. Shaw, Integral-based identification of patient specific parameters for a minimal cardiac model, Computer Methods and Programs in Biomedicine, vol.81, issue.2, pp.181-192, 2006.
DOI : 10.1016/j.cmpb.2005.11.004

C. Hann, J. Chase, T. Desaive, C. Froissart, J. Revie et al., Unique parameter identification for cardiac diagnosis in critical care using minimal data sets, Computer Methods and Programs in Biomedicine, vol.99, issue.1, pp.75-87, 2010.
DOI : 10.1016/j.cmpb.2010.01.002

C. Hann, J. Revie, D. Stevenson, S. Heldmann, T. Desaive et al., Patient specific identification of the cardiac driver function in a cardiovascular system model, Computer Methods and Programs in Biomedicine, vol.101, issue.2, pp.201-207, 2011.
DOI : 10.1016/j.cmpb.2010.06.005

J. Revie, D. Stevenson, J. Chase, C. Hann, B. Lambermont et al., Validation of subject-specific cardiovascular system models from porcine measurements, Computer Methods and Programs in Biomedicine, vol.109, issue.2, pp.197-210, 2013.
DOI : 10.1016/j.cmpb.2011.10.013

P. Perdikaris and G. Karniadakis, Model inversion via multi-fidelity Bayesian optimization: a new paradigm for parameter estimation in haemodynamics, and beyond, Journal of The Royal Society Interface, vol.43, issue.118, p.20151107, 2016.
DOI : 10.1007/s10439-008-9527-7

J. Alastruey, N. Xiao, H. Fok, T. Schaeffter, and C. Figueroa, On the impact of modelling assumptions in multi-scale, subject-specific models of aortic haemodynamics, Journal of The Royal Society Interface, vol.309, issue.119, p.20160073, 2016.
DOI : 10.1007/s10439-011-0431-1

S. Pant, C. Corsini, C. B. Hsia, T. Pennati, and G. , Data assimilation and modelling of patient-specific single-ventricle physiology with and without valve regurgitation, Journal of Biomechanics, vol.49, issue.11, pp.2162-2173, 2015.
DOI : 10.1016/j.jbiomech.2015.11.030

URL : https://hal.archives-ouvertes.fr/hal-01240146

S. Pant, B. Fabrèges, and J. Gerbeau, A methodological paradigm for patient-specific multi-scale CFD simulations: from clinical measurements to parameter estimates for individual analysis, International Journal for Numerical Methods in Biomedical Engineering, vol.35, issue.6, pp.1614-1648, 2014.
DOI : 10.1002/cnm.2692

URL : https://hal.archives-ouvertes.fr/hal-01093879

D. Schiavazzi, A. Baretta, G. Pennati, T. Hsia, and A. Marsden, Patientspecific parameter estimation in single-ventricle lumped circulation models under uncertainty, Int J Numer Method Biomed Eng, 2016.

S. Pant, B. Fabrèges, J. Gerbeau, O. Camara, T. Mansi et al., Vignon-Clementel 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 of Lect Notes Comput Sc, pp.102-109, 2014.

K. Devault, P. Gremaud, V. Novak, M. Olufsen, G. Vernieres et al., Blood Flow in the Circle of Willis: Modeling and Calibration, Multiscale Modeling & Simulation, vol.7, issue.2, pp.888-909, 2008.
DOI : 10.1137/07070231X

D. Lombardi, Inverse problems in 1D hemodynamics on systemic networks: A sequential approach, International Journal for Numerical Methods in Biomedical Engineering, vol.226, issue.3, pp.160-179, 2014.
DOI : 10.1002/cnm.2596

URL : https://hal.archives-ouvertes.fr/hal-00860080

C. Bertoglio, P. Moireau, and J. 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

P. Moireau, C. Bertoglio, N. Xiao, C. Figueroa, C. Taylor et al., Sequential identification of boundary support parameters in a fluid-structure vascular model using patient image data, Biomechanics and Modeling in Mechanobiology, vol.27, issue.7, pp.1-22, 2012.
DOI : 10.1007/s10237-012-0418-3

URL : https://hal.archives-ouvertes.fr/hal-00760703

C. Corrado, J. Gerbeau, and P. Moireau, Identification of weakly coupled multiphysics problems. Application to the inverse problem of electrocardiography, Journal of Computational Physics, vol.283, pp.271-298, 2015.
DOI : 10.1016/j.jcp.2014.11.041

URL : https://hal.archives-ouvertes.fr/hal-01091751

H. Delingette, F. Billet, K. Wong, M. Sermesant, K. Rhode et al., Personalization of Cardiac Motion and Contractility From Images Using Variational Data Assimilation, IEEE Transactions on Biomedical Engineering, vol.59, issue.1, pp.20-24, 2012.
DOI : 10.1109/TBME.2011.2160347

URL : https://hal.archives-ouvertes.fr/inria-00616183

S. Marchesseau, H. Delingette, M. Sermesant, R. Cabrera-lozoya, C. Tobon-gomez et al., Personalization of a cardiac electromechanical model using reduced order unscented Kalman filtering from regional volumes, Medical Image Analysis, vol.17, issue.7, pp.816-829, 2013.
DOI : 10.1016/j.media.2013.04.012

URL : https://hal.archives-ouvertes.fr/hal-00819806

R. Chabiniok, V. Wang, M. Hadjicharalambous, L. Asner, J. Lee et al., Multiphysics and multiscale modelling, data???model fusion and integration of organ physiology in the clinic: ventricular cardiac mechanics, Interface Focus, vol.18, issue.2, p.20150083, 2016.
DOI : 10.1161/CIRCULATIONAHA.109.192278

URL : https://hal.archives-ouvertes.fr/hal-01277684

H. Liu and P. Shi, State-Space Analysis of Cardiac Motion With Biomechanical Constraints, IEEE Transactions on Image Processing, vol.16, issue.4, pp.901-917, 2007.
DOI : 10.1109/TIP.2007.891773

S. Tong and P. Shi, Sampled-Data Filtering Framework for Cardiac Motion Recovery: Optimal Estimation of Continuous Dynamics From Discrete Measurements, IEEE Transactions on Biomedical Engineering, vol.54, issue.10, pp.1750-1761, 2007.
DOI : 10.1109/TBME.2007.895106

L. Wang, K. Wong, H. Zhang, H. Liu, and P. Shi, Noninvasive Computational Imaging of Cardiac Electrophysiology for 3-D Infarct, IEEE Transactions on Biomedical Engineering, vol.58, issue.4, pp.1033-1043, 2011.
DOI : 10.1109/TBME.2010.2099226

L. Wang, F. Dawoud, S. Yeung, P. Shi, K. Wong et al., Transmural Imaging of Ventricular Action Potentials and Post-Infarction Scars in Swine Hearts, IEEE Transactions on Medical Imaging, vol.32, issue.4, pp.731-747, 2013.
DOI : 10.1109/TMI.2012.2236567

B. Matzuka, J. Mehlsen, H. Tran, and M. Olufsen, Using Kalman Filtering to Predict Time-Varying Parameters in a Model Predicting Baroreflex Regulation During Head-Up Tilt, IEEE Transactions on Biomedical Engineering, vol.62, issue.8, pp.1992-2000, 2015.
DOI : 10.1109/TBME.2015.2409211

S. Pant and D. Lombardi, An information-theoretic approach to assess practical identifiability of parametric dynamical systems, Mathematical Biosciences, vol.268, pp.66-79, 2015.
DOI : 10.1016/j.mbs.2015.08.005

URL : https://hal.archives-ouvertes.fr/hal-01099901

C. Corsini, C. Baker, E. Kung, S. Schievano, G. Arbia et al., An integrated approach to patient-specific predictive modeling for single ventricle heart palliation, Computer Methods in Biomechanics and Biomedical Engineering, vol.84, issue.1, pp.1572-1589, 2014.
DOI : 10.1080/10255840903413565

URL : https://hal.archives-ouvertes.fr/hal-00918643

T. Hsia, R. Figliola, E. Bove, A. Dorfman, A. Taylor et al., Multiscale modelling of single-ventricle hearts for clinical decision support: a Leducq Transatlantic Network of Excellence, European Journal of Cardio-Thoracic Surgery, vol.49, issue.2, pp.365-368, 2016.
DOI : 10.1093/ejcts/ezv368

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

T. Arts, P. Bovendeerd, F. Prinzen, and R. Reneman, Relation between left ventricular cavity pressure and volume and systolic fiber stress and strain in the wall, Biophysical Journal, vol.59, issue.1, pp.93-102, 1991.
DOI : 10.1016/S0006-3495(91)82201-9

P. Bovendeerd, P. Borsje, T. Arts, and F. Van-de-vosse, Dependence of Intramyocardial Pressure and Coronary Flow on Ventricular Loading and Contractility: A Model Study, Annals of Biomedical Engineering, vol.268, issue.12, pp.1833-1845, 2006.
DOI : 10.1007/s10439-006-9189-2

J. Mynard, M. Davidson, D. Penny, and J. Smolich, A simple, versatile valve model for use in lumped parameter and one-dimensional cardiovascular models, International Journal for Numerical Methods in Biomedical Engineering, vol.65, issue.1, pp.6-7626, 2012.
DOI : 10.1002/cnm.1466

S. Julier, J. Uhlmann, and H. Durrant-whyte, A new approach for filtering nonlinear systems, Proceedings of 1995 American Control Conference, ACC'95, pp.1628-1632, 1995.
DOI : 10.1109/ACC.1995.529783

S. Julier and J. Uhlmann, New extension of the Kalman filter to nonlinear systems, Signal Processing, Sensor Fusion, and Target Recognition VI, pp.182-193, 1997.
DOI : 10.1117/12.280797

R. Kalman, A New Approach to Linear Filtering and Prediction Problems, Journal of Basic Engineering, vol.82, issue.1, pp.35-45, 1960.
DOI : 10.1115/1.3662552

S. Pant, C. Corsini, C. B. Hsia, T. Pennati, and G. , Vignon-Clementel I. Data assimilation for parameter estimation in a single-ventricle heart model Available from, 4th International Conference on Computational and Mathematical Biomedical Engineering, pp.353-356, 2015.

C. Leguy, E. Bosboom, A. Belloum, A. Hoeks, and F. Van-de-vosse, Global sensitivity analysis of a wave propagation model for arm arteries, Medical Engineering & Physics, vol.33, issue.8, pp.1008-1016, 2011.
DOI : 10.1016/j.medengphy.2011.04.003

W. Huberts, C. De-jonge, W. Van-der-linden, M. Inda, J. Tordoir et al., A sensitivity analysis of a personalized pulse wave propagation model for arteriovenous fistula surgery. Part A: Identification of most influential model parameters, Medical Engineering & Physics, vol.35, issue.6, pp.810-826, 2013.
DOI : 10.1016/j.medengphy.2012.08.013

W. Donders, W. Huberts, F. Vosse, and T. Delhaas, Personalization of models with many model parameters: an efficient sensitivity analysis approach, International Journal for Numerical Methods in Biomedical Engineering, vol.95, issue.11, p.31, 2015.
DOI : 10.1002/cnm.2727

T. Bombardini, V. Gemignani, E. Bianchini, L. Venneri, C. Petersen et al., Diastolic time ??? frequency relation in the stress echo lab: filling timing and flow at different heart rates, Cardiovascular Ultrasound, vol.95, issue.3, p.15, 2008.
DOI : 10.1016/j.amjcard.2004.09.048

A. Redel, W. Baumgartner, K. Golenhofen, D. Drenckhahn, and N. Golenhofen, Mechanical activity and force-frequency relationship of isolated mouse papillary muscle: effects of extracellular calcium concentration, temperature and contraction type, Pfl???gers Archiv European Journal of Physiology, vol.445, issue.2, pp.297-304, 2002.
DOI : 10.1007/s00424-002-0931-9

J. Xu, G. Dimirovski, Y. Jing, and C. Shen, UKF design and stability for nonlinear stochastic systems with correlated noises, 46th IEEE Conference, pp.6226-6231, 2007.