O. Balci, Validation, verification, and testing techniques throughout the life cycle of a simulation study, 1994.

F. J. Barros, Dynamic structure multiparadigm modeling and simulation Strategies for the Physiome Project, In: ACM Transactions on Bassingthwaighte, J. B. Ann. Biomed. Eng, vol.28, pp.1043-1058, 2000.

J. B. Bassingthwaighte, H. J. Chizeck, and L. E. Qian, Multiscale Modeling of Cardiac Cellular Energetics, Annals of the New York Academy of Sciences, vol.7, issue.1, pp.395-426, 1047.
DOI : 10.1196/annals.1341.035

D. Beard, J. Bassingthwaighte, and A. Greene, Computational modeling of physiological systems, Physiological genomics 23.1, pp.1-3, 2005.
DOI : 10.1152/physiolgenomics.00117.2005

B. Bhattacharya-ghosh, S. Schievano, and V. Díaz-zuccarini, A multi-physics and multi-scale lumped parameter model of cardiac contraction of the left ventricle: A conceptual model from the protein to the organ scale, Computers in Biology and Medicine, vol.42, issue.10, 2012.
DOI : 10.1016/j.compbiomed.2012.07.010

C. Cobelli and E. Carson, An Introduction to Modelling Methodology In: Modeling Methodology for Physiology and Medicine, Biomedical Engineering, pp.978-012160245, 2001.

D. Lara, J. , and H. Vangheluwe, AToM3: A Tool for Multi-formalism and Meta-modelling " . In: Fundamental approaches to software engineering, pp.174-188, 2002.

A. Defontaine, Modélisation multirésolution et multiformalisme de l'activité électrique cardiaque, 2006.

A. Defontaine, A. Hernández, and G. Carrault, Multi-Formalism Modelling and Simulation: Application to Cardiac Modelling, Acta Biotheoretica, vol.52, issue.4, pp.273-290, 2004.
DOI : 10.1023/B:ACBI.0000046598.69328.03

URL : https://hal.archives-ouvertes.fr/inserm-00199613

J. Dou, L. Xia, Y. Zhang, G. Shou, Q. Wei et al., Mechanical analysis of congestive heart failure caused by bundle branch block based on an electromechanical canine heart model, Physics in Medicine and Biology, vol.54, issue.2, pp.353-371, 2009.
DOI : 10.1088/0031-9155/54/2/012

J. W. Fenner, G. Brook, P. V. Clapworthy, V. Coveney, H. Feipel et al., The EuroPhysiome, STEP and a roadmap for the virtual physiological human, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.13, issue.1-3, pp.2979-2999, 1878.
DOI : 10.1016/j.biosystems.2004.05.025

URL : https://hal.archives-ouvertes.fr/hal-00339596

F. H. Fenton, E. M. Cherry, A. Karma, and W. , Modeling wave propagation in realistic heart geometries using the phase-field method, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.15, issue.1, 2005.
DOI : 10.1063/1.1840311

A. Guyton, T. Coleman, and H. Granger, Circulation: Overall Regulation, Annual review of physiology 34.1, pp.13-44, 1972.
DOI : 10.1146/annurev.ph.34.030172.000305

A. Guyton and J. Hall, Nervous regulation of the circulation, and rapid control of arterial pressure, 2005.

A. I. Hernández, V. Le-rolle, A. Defontaine, and G. Carrault, A multiformalism and multiresolution modelling environment: application to the cardiovascular system and its regulation, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.22, issue.5, 1908.
DOI : 10.1529/biophysj.103.035840

A. I. Hernández, V. Le-rolle, D. Ojeda, P. Baconnier, J. Fontecave-jallon et al., Integration of detailed modules in a core model of body fluid homeostasis and blood pressure regulation, Progress in Biophysics and Molecular Biology, vol.107, issue.1, pp.169-182, 2011.
DOI : 10.1016/j.pbiomolbio.2011.06.008

A. I. Hernández, J. Dumont, M. Altuve, A. Beucheé, and G. Carrault, Evolutionary Optimization of ECG Feature Extraction Methods: Applications to the Monitoring of Adult Myocardial Ischemia and Neonatal Apnea Bradycardia Events, ECG Signal Processing, Classification and Interpretation. A comprehensive Framework of Computational Intelligence. Ed. by A. Gazek and W. Pedrycz, 2012.
DOI : 10.1007/978-0-85729-868-3_11

P. J. Hunter, The IUPS Physiome Project: a framework for computational physiology, Progress in Biophysics and Molecular Biology, vol.85, issue.2-3, 2004.
DOI : 10.1016/j.pbiomolbio.2004.02.006

A. Karniel and G. F. Inbar, Linear Systems Description, Modern Techniques in Neuroscience Research, pp.589-625, 1999.
DOI : 10.1007/978-3-642-58552-4_21

J. Keener and J. Sneyd, Mathematical Physiology. book, 1998.

R. C. Kerckhoffs, M. L. Neal, Q. Gu, J. B. Bassingthwaighte, J. H. Omens et al., Coupling of a 3D Finite Element Model of Cardiac Ventricular Mechanics to Lumped Systems Models of the Systemic and Pulmonic Circulation, Print) Journal Article Research Support, N.I.H., Extramural Research Support, U.S. Gov't, Non-P.H.S, pp.90-6964, 2007.
DOI : 10.1007/s10439-006-9212-7

G. J. Klir, Architecture of systems complexity, 1985.

I. Korhonen, L. Mainardi, P. Loula, G. Carrault, G. Baselli et al., Linear multivariate models for physiological signal analysis: theory " . In: Computer methods and programs in biomedicine 51, pp.85-94, 1996.

L. Rolle, V. , D. Ojeda, and A. I. Hernández, Embedding a cardiac pulsatile model into an integrated model of the cardiovascular regulation for heart failure follow-up, IEEE transactions on biomedical engineering 58.10, pp.2982-2986, 2011.

A. D. Mcculloch and G. Huber, Integrative Biological ModellingIn Silico, Novartis Found. Symp, vol.247, pp.4-19, 2002.
DOI : 10.1002/0470857897.ch2

D. Nickerson, S. Niederer, C. Stevens, M. Nash, and P. Hunter, A Computational Model of Cardiac Electromechanics, 2006 International Conference of the IEEE Engineering in Medicine and Biology Society, pp.5311-5314, 2006.
DOI : 10.1109/IEMBS.2006.260169

D. Noble, Modeling the Heart, Physiology, vol.19, issue.4, pp.191-197, 2004.
DOI : 10.1152/physiol.00004.2004

D. Nordsletten, S. Niederer, M. Nash, P. Hunter, and N. Smith, Coupling multi-physics models to cardiac mechanics, Progress in biophysics and molecular biology 104.1, pp.77-88, 2011.
DOI : 10.1016/j.pbiomolbio.2009.11.001

G. Quesnel, R. Duboz, and E. Ramat, The Virtual Laboratory Environment ??? An operational framework for multi-modelling, simulation and analysis of complex dynamical systems, Simulation Modelling Practice and Theory 17, pp.641-653, 2009.
DOI : 10.1016/j.simpat.2008.11.003

W. H. Sanders, T. Courtney, D. Deavours, D. Daly, S. Derisavi et al., Multiformalism and Multisolution-method Modeling Frameworks: The Möbius Approach, Proc. of Symp. on Performance Evaluation?Stories and Perspectives, pp.241-256, 2003.

S. R. Thomas, P. Baconnier, J. Fontecave, J. Françoise, F. Guillaud et al., SAPHIR: a physiome core model of body fluid homeostasis and blood pressure regulation, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.31, issue.1, pp.3175-3197, 2008.
DOI : 10.1016/S0273-1177(02)00652-X

URL : https://hal.archives-ouvertes.fr/hal-00339613

T. P. Usyk and A. D. Mcculloch, Relationship Between Regional Shortening and Asynchronous Electrical Activation in a Three-Dimensional Model of Ventricular Electromechanics, Journal of Cardiovascular Electrophysiology, vol.252, issue.5, pp.196-202, 2003.
DOI : 10.1046/j.1460-9592.2002.00484.x

H. Vangheluwe, Multi-formalism modelling and simulation, 2001.

H. L. Vangheluwe, DEVS as a common denominator for multi-formalism hybrid systems modelling, CACSD. Conference Proceedings. IEEE International Symposium on Computer-Aided Control System Design (Cat. No.00TH8537), 2000.
DOI : 10.1109/CACSD.2000.900199

H. Watanabe, S. Sugiura, H. Kafuku, and T. Hisada, Multiphysics Simulation of Left Ventricular Filling Dynamics Using Fluid-Structure Interaction Finite Element Method, Biophysical Journal, vol.87, issue.3, pp.2074-2085, 2004.
DOI : 10.1529/biophysj.103.035840

B. P. Zeigler, H. Praehofer, and T. G. Kim, Theory of modeling and simulation: Integrating discrete event and continuous complex dynamic systems, 2000.

P. Auger, R. Bravo-de, and L. Parra, Methods of aggregation of variables in population dynamics, Comptes Rendus de l'Académie des Sciences-Series III-Sciences de la Vie 323, pp.665-674, 2000.
DOI : 10.1016/S0764-4469(00)00182-7

P. Auger and C. Lett, Integrative biology: linking levels of organization, Comptes Rendus Biologies, vol.326, issue.5, pp.517-522, 2003.
DOI : 10.1016/S1631-0691(03)00115-X

A. I. Hernández, V. Le-rolle, A. Defontaine, and G. Carrault, A multiformalism and multiresolution modelling environment: application to the cardiovascular system and its regulation, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.22, issue.5, 1908.
DOI : 10.1529/biophysj.103.035840

A. I. Hernández, V. Le-rolle, D. Ojeda, P. Baconnier, J. Fontecave-jallon et al., Integration of detailed modules in a core model of body fluid homeostasis and blood pressure regulation, Progress in Biophysics and Molecular Biology, vol.107, issue.1, pp.169-182, 2011.
DOI : 10.1016/j.pbiomolbio.2011.06.008

P. Kohl, P. Hunter, R. Winslow, R. D. , G. R. Christie et al., Model interactions: ???It is the simple, which is so difficult???, FieldML, a proposed open standard for the physiome project for mathematical model representation " . In: Medical & biological engineering & computing, pp.1-17, 2011.
DOI : 10.1016/j.pbiomolbio.2011.07.003

F. Campolongo, J. Cariboni, A. Saltelli, and W. Schoutens, Enhancing the Morris method, Proceedings of SAMO 2004, 4th Int. Conf. on Sensitivity Analysis of Model Output, 2004.

G. R. Christie, P. M. Nielsen, S. A. Blackett, C. P. Bradley, and P. J. Hunter, FieldML: concepts and implementation, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.61, issue.1895, pp.1869-1884, 1895.
DOI : 10.1098/rsta.2009.0025

C. A. Coello, G. B. Lamont, and D. A. Veldhuizen, Evolutionary algorithms for solving multi-objective problems, 2007.
DOI : 10.1007/978-1-4757-5184-0

R. Cukier, H. Levine, and K. Shuler, Nonlinear sensitivity analysis of multiparameter model systems, 1978.

G. B. Dantzig, Linear programming and extensions, 1998.
DOI : 10.1515/9781400884179

D. Lara, J. , and H. Vangheluwe, AToM3: A Tool for Multi-formalism and Meta-modelling " . In: Fundamental approaches to software engineering, pp.174-188, 2002.

K. Deb, A. Pratap, S. Agarwal, and T. Meyarivan, A fast and elitist multiobjective genetic algorithm: NSGA-II, IEEE Transactions on Evolutionary Computation, vol.6, issue.2, pp.182-197, 2002.
DOI : 10.1109/4235.996017

K. Deb and D. Kalyanmoy, Multi-Objective Optimization Using Evolutionary Algorithms, p.47187339, 2001.

A. Defontaine, Modélisation multirésolution et multiformalisme de l'activité électrique cardiaque, 2006.

J. Duarte, M. Vélez-reyes, S. Tarantola, F. Gilbes, and R. Armstrong, A probabilistic sensitivity analysis of water-leaving radiance to water constituents in coastal shallow waters, Ocean Remote Sensing and Imaging II, p.162, 2003.
DOI : 10.1117/12.507808

R. Eberhart and J. Kennedy, A new optimizer using particle swarm theory, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science, pp.39-43, 1995.
DOI : 10.1109/MHS.1995.494215

J. Fleureau, Intégration de données anatomiques issues d'images MSCT et de modéles électrophysiologique et mécanique du coeur, 2008.

M. Galassi and B. Gough, GNU scientific library: reference manual, 2006.

A. Garny, D. P. Nickerson, J. Cooper, R. W. Santos, A. K. Miller et al., CellML and associated tools and techniques, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.51, issue.23, pp.3017-3043, 1878.
DOI : 10.1088/0031-9155/51/23/014

F. Glover, Future paths for integer programming and links to artificial intelligence, Computers & Operations Research, vol.13, issue.5, pp.533-549, 1986.
DOI : 10.1016/0305-0548(86)90048-1

D. E. Goldberg, Genetic algorithms in search, optimization, and machine learning. 1st, 1989.

A. I. Hernández, V. Le-rolle, A. Defontaine, and G. Carrault, A multiformalism and multiresolution modelling environment: application to the cardiovascular system and its regulation, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.22, issue.5, 1908.
DOI : 10.1529/biophysj.103.035840

A. I. Hernández, V. Le-rolle, D. Ojeda, P. Baconnier, J. Fontecave-jallon et al., Integration of detailed modules in a core model of body fluid homeostasis and blood pressure regulation, Progress in Biophysics and Molecular Biology, vol.107, issue.1, pp.169-182, 2011.
DOI : 10.1016/j.pbiomolbio.2011.06.008

J. Holland, Adaptation in Natural and Artificial Systems, 1975.

M. Hucka, A. Finney, H. Sauro, H. Bolouri, J. Doyle et al., The systems biology markup language (SBML): a medium for representation and exchange of biochemical network models, Bioinformatics, vol.19, issue.4, pp.524-531, 2003.
DOI : 10.1093/bioinformatics/btg015

S. Kirkpatrick, Optimization by simulated annealing: Quantitative studies, Journal of Statistical Physics, vol.21, issue.5-6, pp.5-6, 1984.
DOI : 10.1007/BF01009452

P. Kohl and D. Noble, Systems biology and the virtual physiological human, Molecular Systems Biology, vol.286, 2009.
DOI : 10.1111/j.1540-8167.2008.01420.x

A. H. Land and A. G. Doig, An automatic method of solving discrete programming problems, Econometrica: Journal of the Econometric Society, pp.497-520, 1960.

L. Rolle and V. , Modélisation Multiformalisme du Système Cardiovasculaire associant Bond Graph, Equations Différentielles et Modèles Discrets, 2006.

Z. Michalewicz, Genetic algorithms+ data structures= evolution programs, 1996.
DOI : 10.1007/978-3-662-02830-8

K. Miller, Physiome THE " . In: A mission imperative, Biomedical Computation Review, pp.8-15, 2010.

M. Minsky, Steps toward Artificial Intelligence, Proceedings of the IRE 49.1, pp.8-30, 1961.
DOI : 10.1109/JRPROC.1961.287775

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.79.7413

G. R. Mirams, C. J. Arthurs, M. O. Bernabeu, R. Bordas, J. Cooper et al., Chaste: An Open Source C++ Library for Computational Physiology and Biology, PLoS computational biology 9.3, 2013.
DOI : 10.1371/journal.pcbi.1002970.s006

M. Morris, Factorial Sampling Plans for Preliminary Computational Experiments, Technometrics 33.2, pp.161-174, 1991.
DOI : 10.2307/1266468

J. Nelder and R. Mead, A Simplex Method for Function Minimization, The computer journal 7, p.308, 1965.
DOI : 10.1093/comjnl/7.4.308

G. L. Nemhauser, A. R. Kan, and M. Todd, Optimization, volume 1 of Handbooks in operations research and management science, 1989.

G. Quesnel, R. Duboz, and E. Ramat, The Virtual Laboratory Environment ??? An operational framework for multi-modelling, simulation and analysis of complex dynamical systems, Simulation Modelling Practice and Theory 17, pp.641-653, 2009.
DOI : 10.1016/j.simpat.2008.11.003

A. Saltelli, K. Chan, and E. M. Scott, Sensitivity analysis, 2000.
URL : https://hal.archives-ouvertes.fr/inria-00386559

A. Saltelli, M. Ratto, T. Andres, F. Campolongo, J. Cariboni et al., Global sensitivity analysis: the primer, 2008.
DOI : 10.1002/9780470725184

A. Saltelli, P. Annoni, I. Azzini, F. Campolongo, M. Ratto et al., Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index, Computer Physics Communications 181.2, pp.259-270, 2010.
DOI : 10.1016/j.cpc.2009.09.018

S. Schreider and R. Braddock, Application of the Morris algorithm for sensitivity analysis if the REALM model for the Goulburn Irrigation System, In: Environmental Modeling and Assessment, vol.11, issue.4, pp.297-313, 2011.

I. M. Sobol, Sensitivity estimates for nonlinear mathematical models, Mathematical Modelling and Computational Experiments 1.4, pp.407-414, 1993.

F. Guillaud and P. Hannaert, A Computational Model of the Circulating Renin-Angiotensin System and Blood Pressure Regulation, Acta Biotheoretica, vol.296, issue.1, pp.2-3, 2010.
DOI : 10.1007/s10441-010-9098-5

A. Guyton, T. Coleman, and H. Granger, Circulation: Overall Regulation, Annual review of physiology 34.1, pp.13-44, 1972.
DOI : 10.1146/annurev.ph.34.030172.000305

A. I. Hernández, V. Le-rolle, A. Defontaine, and G. Carrault, A multiformalism and multiresolution modelling environment: application to the cardiovascular system and its regulation, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.22, issue.5, 1908.
DOI : 10.1529/biophysj.103.035840

A. I. Hernández, V. Le-rolle, D. Ojeda, P. Baconnier, J. Fontecave-jallon et al., Integration of detailed modules in a core model of body fluid homeostasis and blood pressure regulation, Progress in Biophysics and Molecular Biology, vol.107, issue.1, pp.169-182, 2011.
DOI : 10.1016/j.pbiomolbio.2011.06.008

N. Ikeda, F. Marumo, M. Shirataka, and T. Sato, A model of overall regulation of body fluids, Annals of biomedical engineering 7, pp.135-166, 1979.
DOI : 10.1007/BF02363132

J. Kofránek and J. Rusz, Restoration of Guyton s diagram for regulation of the circulation as a basis for quantitative physiological model development, Physiological Research, vol.596, pp.897-908, 2010.

J. P. Montani, B. N. Van, and . Vliet, Understanding the contribution of Guyton's large circulatory model to long-term control of arterial pressure, Experimental Physiology, vol.113, issue.1, pp.382-388, 2009.
DOI : 10.1113/expphysiol.2008.043299

I. Abouliatim, Evaluation de la collateralité coronarienne entre le réseau gauche et la coronaire droite occluse: apport de la modélisation électrique, 2011.

I. Abouliatim, M. Harmouche, A. Drochon, M. Maasrani, H. Corbineau et al., Coronary Flow in Patients with Three-Vessel Disease: Simulated Hemodynamic Variables in relation to Angiographically Assessed Collaterality and History of Myocardial Infarction, ISRN Vascular Medicine, vol.90, issue.3, pp.1-10, 2011.
DOI : 10.1016/j.ejcts.2006.09.033

URL : https://hal.archives-ouvertes.fr/hal-00906236

J. Bassingthwaighte, P. Hunter, and D. Noble, The Cardiac Physiome: perspectives for the future, Experimental physiology 94.5, pp.597-605, 2009.
DOI : 10.1113/expphysiol.2008.044099

C. Berry, K. Balachandran, P. L. 'allier, J. Lespérance, R. Bonan et al., Importance of collateral circulation in coronary heart disease, European Heart Journal, vol.28, issue.3, pp.278-291, 2007.
DOI : 10.1093/eurheartj/ehl446

M. Billinger, M. Fleisch, F. Eberli, B. Meier, and C. Seiler, Collateral and collateral-adjacent hyperemic vascular resistance changes and the ipsilateral coronary flow reserve Documentation of a mechanism causing coronary steal in patients with coronary artery disease, Cardiovascular Research, vol.49, issue.3, pp.600-608, 2001.
DOI : 10.1016/S0008-6363(00)00175-9

H. Corbineau, J. P. Verhoye, . Langanay, A. Ménestret, and . Leguerrier, Feasibility of the utilisation of the right internal thoracic artery in the transverse sinus in off pump coronary revascularisation: early angiographic results, European Journal of Cardio-Thoracic Surgery, vol.20, issue.5, pp.918-922, 2001.
DOI : 10.1016/S1010-7940(01)00929-0

K. Deb and D. Kalyanmoy, Multi-Objective Optimization Using Evolutionary Algorithms, p.47187339, 2001.

J. M. Downey and E. S. Kirk, Inhibition of coronary blood flow by a vascular waterfall mechanism, Circulation Research, vol.36, issue.6, pp.753-760, 1975.
DOI : 10.1161/01.RES.36.6.753

J. A. Finegold, P. Asaria, and D. P. Francis, Mortality from ischaemic heart disease by country, region, and age: Statistics from World Health Organisation and United Nations, International Journal of Cardiology, vol.168, issue.2, 2012.
DOI : 10.1016/j.ijcard.2012.10.046

K. L. Gould, Quantification of coronary artery stenosis in vivo, Circulation Research, vol.57, issue.3, pp.341-353, 1985.
DOI : 10.1161/01.RES.57.3.341

A. Guyton and J. Hall, Textbook of medical physiology, 2005.

M. Harmouche, M. Maasrani, H. Corbineau, J. Verhoye, and A. Drochon, A more sensitive pressure-based index to estimate collateral blood supply in case of coronary three-vessel disease, Medical Hypotheses 79, pp.261-263, 2012.
DOI : 10.1016/j.mehy.2012.05.004

URL : https://hal.archives-ouvertes.fr/hal-00904484

G. Heusch, R. Schulz, and S. H. Rahimtoola, Myocardial hibernation: a delicate balance, AJP: Heart and Circulatory Physiology, vol.288, issue.3, pp.984-999, 2005.
DOI : 10.1152/ajpheart.01109.2004

T. Hirai, M. Fujita, H. Nakajima, H. Asanoi, K. Yamanishi et al., Importance of collateral circulation for prevention of left ventricular aneurysm formation in acute myocardial infarction, Circulation, vol.79, issue.4, pp.791-796, 1989.
DOI : 10.1161/01.CIR.79.4.791

P. C. Johnson, W. English, M. J. Halpern, and . Mulvany, The Myogenic Response In: The Resistance Vasculature, Vascular Biomedicine, pp.159-168, 1991.

C. Jones, M. J. Kuo, W. M. Davis, and . Chilian, In vivo and in vitro vasoactive reactions of coronary arteriolar microvessels to nitroglycerin, American Journal of Physiology-Heart and Circulatory Physiology, vol.2712, pp.461-468, 1996.

S. Kaul and A. R. Jayaweera, Myocardial capillaries and coronary flow reserve, J Am Coll Cardiol, vol.5217, pp.1399-1401, 2008.

J. Koerselman, Y. Van-der-graaf, P. P. De-jaegere, and D. E. Grobbee, Coronary Collaterals: An Important and Underexposed Aspect of Coronary Artery Disease, Circulation, vol.107, issue.19, 2003.
DOI : 10.1161/01.CIR.0000065118.99409.5F

C. W. Lee, S. W. Park, G. Y. Cho, M. K. Hong, J. J. Kim et al., Pressure-derived fractional collateral blood flow: a primary determinant of left ventricular recovery after reperfused acute myocardial infarction, J Am Coll Cardiol, vol.354, pp.949-955, 2000.

J. Lee and N. P. Smith, The Multi-Scale Modelling of Coronary Blood Flow, Annals of Biomedical Engineering, vol.268, issue.1, pp.2399-2413, 2012.
DOI : 10.1007/s10439-012-0583-7

S. T. Lee, S. Y. Kim, Y. J. Hur, Y. H. Hwang, J. W. Kim et al., Coronaryto-bronchial artery fistula: demonstration by 64-multidetector computed tomography with retrospective electrocardiogram-gated reconstructions, J Comput Assist Tomogr, vol.323, pp.444-447, 2008.

M. Maasrani, J. Verhoye, H. Corbineau, and A. Drochon, Analog Electrical Model of the Coronary Circulation in Case of Multiple Revascularizations, Annals of Biomedical Engineering, vol.2, issue.3, pp.1163-1174, 2008.
DOI : 10.1007/s10439-008-9500-5

URL : https://hal.archives-ouvertes.fr/inserm-00291184

M. Maasrani, I. Abouliatim, M. Harmouche, J. Verhoye, H. Corbineau et al., Patients' specific simulations of coronary fluxes in case of three-vessel disease, Journal of Biomedical Science and Engineering, vol.04, issue.01, pp.34-45, 2011.
DOI : 10.4236/jbise.2011.41005

URL : https://hal.archives-ouvertes.fr/hal-00907932

M. Maasrani, A. Drochon, M. Harmouche, H. Corbineau, and J. Verhoye, Theoretical study of the flow rate toward the right heart territory in case of total occlusion of the right coronary artery, Medical Engineering & Physics, vol.35, issue.1, 2013.
DOI : 10.1016/j.medengphy.2012.04.005

URL : https://hal.archives-ouvertes.fr/hal-00880104

D. Manor, S. Sideman, U. Dinnar, and R. Beyar, Analysis of coronary circulation under ischaemic conditions, Medical & Biological Engineering & Computing, vol.36, issue.S1, pp.123-132, 1994.
DOI : 10.1007/BF02523338

F. W. Mohr, M. Morice, A. P. Kappetein, T. E. Feldman, E. Ståhle et al., Coronary artery bypass graft surgery versus percutaneous coronary intervention in patients with three-vessel disease and left main coronary disease: 5-year follow-up of the randomised, clinical SYNTAX trial, The Lancet, vol.381, issue.9867, pp.629-638, 2013.
DOI : 10.1016/S0140-6736(13)60141-5

M. Morris, Factorial Sampling Plans for Preliminary Computational Experiments, Technometrics 33.2, pp.161-174, 1991.
DOI : 10.2307/1266468

D. Ojeda, V. L. Rolle, and A. I. Hernández, A Model of the Cardiovascular System integrating the Coronary Circulation, Recherche en Imagerie et Technologies pour la Santé, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00908821

D. Ojeda, V. Le-rolle, A. Drochon, H. Corbineau, J. Verhoye et al., Sensitivity analysis and parameter estimation of a coronary circulation model for patients with triple-vessel disease, Proceedings of The Virtual Physiological Human, p.2012, 2012.

. Hernández, Sensitivity analysis and parameter estimation of a coronary circulation model for triplevessel disease, Submitted to IEEE transactions on biomedical engineering, 2013.

M. Olufsen and A. Nadim, On deriving lumped models for blood flow and pressure in the systemic arteries, Mathematical Biosciences and Engineering, vol.1, issue.1, pp.61-80, 2004.
DOI : 10.3934/mbe.2004.1.61

R. Pietrabissa, S. Mantero, T. Marotta, and L. Menicanti, A lumped parameter model to evaluate the fluid dynamics of different coronary bypasses, Medical Engineering & Physics, vol.18, issue.6, pp.477-484, 1996.
DOI : 10.1016/1350-4533(96)00002-1

N. H. Pijls, G. J. Bech, M. I. Gamal, H. J. Bonnier, . De-bruyne et al., Quantification of recruitable coronary collateral blood flow in conscious humans and its potential to predict future ischemic events, Journal of the American College of Cardiology, vol.25, issue.7, pp.1522-1528, 1995.
DOI : 10.1016/0735-1097(95)00111-G

K. P. Rentrop, H. Cohen, R. A. Blanke, and . Phillips, Changes in collateral channel filling immediately after controlled coronary artery occlusion by an angioplasty balloon in human subjects, Journal of the American College of Cardiology, vol.5, issue.3, pp.587-592, 1985.
DOI : 10.1016/S0735-1097(85)80380-6

S. Rinehart, G. Vazquez, Z. Qian, L. Murrieta, K. Christian et al., Quantitative measurements of coronary arterial stenosis, plaque geometry, and composition are highly reproducible with a standardized coronary arterial computed tomographic approach in high-quality CT datasets, Journal of Cardiovascular Computed Tomography, vol.5, issue.1, pp.35-43, 2011.
DOI : 10.1016/j.jcct.2010.09.006

J. Rockstroh and B. G. Brown, Coronary Collateral Size, Flow Capacity, and Growth: Estimates From the Angiogram in Patients With Obstructive Coronary Disease, Circulation 105, pp.168-173, 2002.
DOI : 10.1161/hc0202.102120

D. C. Sabiston and D. E. Gregg, Effect of Cardiac Contraction on Coronary Blood Flow, Circulation, vol.15, issue.1, pp.14-20, 1957.
DOI : 10.1161/01.CIR.15.1.14

K. Sagawa, R. Lie, and J. Schaefer, Translation of Otto Frank's paper " Die Grundform des Arteriellen Pulses, Zeitschrift fur Biologie In: Journal of molecular and cellular cardiology, vol.373, issue.22, pp.483-526, 1899.

W. Schaper, Collateral circulation, Basic Research in Cardiology, vol.124, issue.Suppl 1, pp.5-21, 2009.
DOI : 10.1007/s00395-008-0760-x

C. Seiler, The human coronary collateral circulation, Heart, vol.89, issue.11, p.1352, 2003.
DOI : 10.1136/heart.89.11.1352

M. Siebes, S. A. Chamuleau, M. Meuwissen, J. J. Piek, and J. A. Spaan, Influence of hemodynamic conditions on fractional flow reserve: parametric analysis of underlying model, American Journal of Physiology - Heart and Circulatory Physiology, vol.283, issue.4, pp.1462-1470, 2002.
DOI : 10.1152/ajpheart.00165.2002

M. Siebes and Y. Ventikos, The Role of Biofluid Mechanics in the Assessment of Clinical and Pathological Observations, Annals of biomedical engineering 38.3, pp.1216-1224, 2010.
DOI : 10.1007/s10439-010-9903-y

B. Smith, S. Andreassen, G. Shaw, P. Jensen, S. Rees et al., Simulation of cardiovascular system diseases by including the autonomic nervous system into a minimal model Computer methods and programs in biomedicine 86, pp.153-160, 2007.

J. A. Spaan, N. P. Breuls, and J. D. Laird, Diastolic-systolic coronary flow differences are caused by intramyocardial pump action in the anesthetized dog, Circulation Research, vol.49, issue.3, pp.584-593, 1981.
DOI : 10.1161/01.RES.49.3.584

P. G. Steg, G. B. Kerner, H. R. Mancini, A. C. Reynolds, . Carvalho et al., Impact of Collateral Flow to the Occluded Infarct-Related Artery on Clinical Outcomes in Patients With Recent Myocardial Infarction: A Report From the Randomized Occluded Artery Trial, Circulation, vol.121, issue.25, pp.2724-2730, 2010.
DOI : 10.1161/CIRCULATIONAHA.109.933200

J. Z. Wang, . Tie, . Welkowitz, J. Kostis, and . Semmlow, Incremental network analogue model of the coronary artery, Medical & Biological Engineering & Computing, vol.101, issue.4, pp.416-422, 1989.
DOI : 10.1007/BF02441434

S. L. Waters, D. A. Alastruey, P. H. Beard, P. F. Bovendeerd, . Davies et al., Theoretical models for coronary vascular biomechanics: Progress & challenges, Progress in Biophysics and Molecular Biology, vol.104, issue.1-3, pp.1-3, 2011.
DOI : 10.1016/j.pbiomolbio.2010.10.001

A. Auricchio, J. Ding, J. C. Spinelli, A. P. Kramer, R. W. Salo et al., Cardiac resynchronization therapy restores optimal atrioventricular mechanical timing in heart failure patients with ventricular conduction delay, Journal of the American College of Cardiology, vol.39, issue.7, pp.1163-1169, 2002.
DOI : 10.1016/S0735-1097(02)01727-8

J. E. Beneken and B. Dewit, A physical approach to hemodynamic aspects of the human cardiovascular system " . In: Physical bases of circulatory transport: regulation and exchange, pp.1-45, 1967.

D. Chung, S. Niranjan, J. Clark, A. Bidani, W. Johnston et al., A dynamic model of ventricular interaction and pericardial influence, American Journal of Physiology-Heart and Circulatory Physiology, vol.2726, p.2942, 1997.

J. L. Coatrieux, A. I. Hernández, P. Mabo, M. Garreau, and P. Haigron, Transvenous Path Finding in Cardiac Resynchronization Therapy, pp.236-245, 2005.
DOI : 10.1007/11494621_24

URL : https://hal.archives-ouvertes.fr/inserm-00530419

P. Hunter, A. Mcculloch, and H. Ter-keurs, Modelling the mechanical properties of cardiac muscle, Progress in biophysics and molecular biology 69.2-3, pp.289-331, 1998.
DOI : 10.1016/S0079-6107(98)00013-3

A. H. Jansen, F. A. Bracke, J. M. Van-dantzig, A. Meijer, P. H. Van-der-voort et al., Correlation of Echo-Doppler Optimization of Atrioventricular Delay in Cardiac Resynchronization Therapy With Invasive Hemodynamics in Patients With Heart Failure Secondary to Ischemic or Idiopathic Dilated Cardiomyopathy, The American Journal of Cardiology, vol.97, issue.4, pp.552-557, 2006.
DOI : 10.1016/j.amjcard.2005.08.076

S. Karamcheti and J. Kravitz, Analyzing Cardiac Action Potentials with the Fitzhugh-Nagumo Model, Tech. rep. California State Summer School for Mathematics & Science, 2012.

K. T. Koon, C. Thebault, V. Le-rolle, E. Donal, and A. I. Hernández, Atrioventricular delay optimization in cardiac resynchronization therapy assessed by a computer model, In: Computing in Cardiology, pp.333-336, 2010.

L. Rolle and V. , Modélisation Multiformalisme du Système Cardiovasculaire associant Bond Graph, Equations Différentielles et Modèles Discrets, 2006.

L. Rolle, V. , A. I. Hernandez, P. Richard, J. Buisson et al., A Bond Graph Model of the Cardiovascular System, Acta Biotheoretica, vol.340, issue.6, pp.295-312, 2005.
DOI : 10.1007/s10441-005-4881-4

URL : https://hal.archives-ouvertes.fr/inserm-00134395

C. Leclercq and D. A. Kass, Retiming the failing heart: principles and current clinical status of cardiac resynchronization, Journal of the American College of Cardiology, vol.39, issue.2, pp.194-201, 2002.
DOI : 10.1016/S0735-1097(01)01747-8

K. Lu, J. W. Clark, F. H. Ghorbel, D. L. Ware, and A. Bidani, A human cardiopulmonary system model applied to the analysis of the Valsalva maneuver, Am J Physiol Heart Circ Physiol, vol.2816, pp.2661-2679, 2001.

B. H. Hlatky and . Rowe, Cardiac resynchronization therapy for patients with left ventricular systolic dysfunction: a systematic review, 2007.

M. Morris, Factorial Sampling Plans for Preliminary Computational Experiments, Technometrics 33.2, pp.161-174, 1991.
DOI : 10.2307/1266468

J. Nagumo, S. Arimoto, and . Yoshizawa, An Active Pulse Transmission Line Simulating Nerve Axon, Proceedings of the IRE, vol.50, issue.10, 1962.
DOI : 10.1109/JRPROC.1962.288235

D. Noble, A modification of the Hodgkin-Huxley equations applicable to Purkinje fibre action and pacemaker potentials, The Journal of Physiology, vol.160, issue.2, pp.317-352, 1962.
DOI : 10.1113/jphysiol.1962.sp006849

J. L. Palladino and A. Noordergraaf, A paradigm for quantifying ventricular contraction, In: Cellular & molecular biology letters, vol.7, issue.2, pp.331-335, 2001.

P. Ritter, L. Padeletti, L. Gillio-meina, and G. Gaggini, Determination of the optimal atrioventricular delay in DDD pacing. Comparison between echo and peak endocardial acceleration measurements, Europace 1.2, pp.126-130, 1999.
DOI : 10.1053/eupc.1998.0032

A. Saltelli, P. Annoni, I. Azzini, F. Campolongo, M. Ratto et al., Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index, Computer Physics Communications 181.2, pp.259-270, 2010.
DOI : 10.1016/j.cpc.2009.09.018

B. Smith, S. Andreassen, G. Shaw, P. Jensen, S. Rees et al., Simulation of cardiovascular system diseases by including the autonomic nervous system into a minimal model Computer methods and programs in biomedicine 86, pp.153-160, 2007.

K. H. Tusscher, A. V. Ten, and . Panfilov, Alternans and spiral breakup in a human ventricular tissue model, AJP: Heart and Circulatory Physiology, vol.291, issue.3, pp.1088-1100, 2006.
DOI : 10.1152/ajpheart.00109.2006

Z. I. Whinnett, J. E. Davies, C. H. Willson, A. W. Manisty, R. A. Chow et al., Haemodynamic effects of changes in atrioventricular and interventricular delay in cardiac resynchronisation therapy show a consistent pattern: analysis of shape Cardiovascular fluctuations and transfer function analysis in stable preterm infants, pp.89-97, 2003.

G. Baselli, . Cerutti, . Civardi, . Malliani, . Orsi et al., Parameter extraction from heart rate and arterial blood pressure variability signals in dogs for the validation of a physiological model, Computers in biology and medicine 18.1, pp.1-16, 1988.
DOI : 10.1016/0010-4825(88)90051-0

G. Baselli, . Cerutti, . Badilini, . Biancardi, . Porta et al., Model for the assessment of heart period and arterial pressure variability interactions and of respiration influences, Medical and Biological Engineering and Computing 32, pp.143-152, 1994.
DOI : 10.1007/BF02518911

A. Beuchée, G. Carrault, J. Y. Bansard, E. Boutaric, P. Bétrémieux et al., Uncorrelated Randomness of the Heart Rate Is Associated with Sepsis in Sick Premature Infants, Neonatology 96, pp.109-114, 2009.
DOI : 10.1159/000208792

E. Borell, J. Von, G. Langbein, S. Després, C. Hansen et al., Heart rate variability as a measure of autonomic regulation of cardiac activity for assessing stress and welfare in farm animals ??? A review, Physiology & Behavior, vol.92, issue.3, pp.293-316, 2007.
DOI : 10.1016/j.physbeh.2007.01.007

A. W. Cowley, J. F. Liard, and A. C. Guyton, Role of the Baroreceptor Reflex in Daily Control of Arterial Blood Pressure and Other Variables in Dogs, Circulation Research, vol.32, issue.5, pp.564-576, 1973.
DOI : 10.1161/01.RES.32.5.564

C. Duvareille, M. Lafrance, N. Samson, M. St-hilaire, P. Pladys et al., Effects of hypoxia and hypercapnia on nonnutritive swallowing in newborn lambs, Journal of Applied Physiology, vol.103, issue.4, pp.1180-1188, 2007.
DOI : 10.1152/japplphysiol.00318.2007

T. Electrophysiology-task-force, Heart Rate Variability : Standards of Measurement, Physiological Interpretation, and Clinical Use, Circulation, vol.93, issue.5, 1996.
DOI : 10.1161/01.CIR.93.5.1043

T. Heldt, E. B. Shim, R. D. Kamm, and R. G. Mark, Computational modeling of cardiovascular response to orthostatic stress, Journal of Applied Physiology, vol.92, issue.3, pp.1239-1254, 2001.
DOI : 10.1152/japplphysiol.00241.2001

T. Kawada, K. Uemura, S. Shimizu, A. Kamiya, M. J. Turner et al., Consideration on parameter determination of a new model describing dynamic vagal heart rate control in rats, 2012 Annual International Conference of the IEEE Engineering in Medicine and Biology Society, pp.3809-3812, 2012.
DOI : 10.1109/EMBC.2012.6346797

L. Rolle, V. , A. Hernández, P. Richard, and G. Carrault, An Autonomic Nervous System Model Applied to the Analysis of Orthostatic Tests, Modelling and Simulation in Engineering, vol.15, issue.2, p.2, 2008.
DOI : 10.1007/BF02441043

L. Rolle, V. , A. I. Hernandez, P. Richard, J. Buisson et al., A Bond Graph Model of the Cardiovascular System, Acta Biotheoretica, vol.340, issue.6, pp.295-312, 2005.
DOI : 10.1007/s10441-005-4881-4

URL : https://hal.archives-ouvertes.fr/inserm-00134395

L. Rolle, V. , A. I. Hernández, P. Richard, E. Donal et al., Model-based analysis of myocardial strain data acquired by tissue Doppler imaging, Artificial Intelligence in Medicine, vol.44, issue.3, pp.201-219, 2008.
DOI : 10.1016/j.artmed.2008.06.001

URL : https://hal.archives-ouvertes.fr/inserm-00336116

L. Rolle, V. , D. Ojeda, and A. I. Hernández, Embedding a cardiac pulsatile model into an integrated model of the cardiovascular regulation for heart failure follow-up, IEEE transactions on biomedical engineering 58.10, pp.2982-2986, 2011.

P. Létourneau and J. Praud, A radiotelemetry system for polysomnographic recordings in lambs, Methods, vol.30, issue.2, pp.115-121, 2003.
DOI : 10.1016/S1046-2023(03)00072-0

K. Lu, J. W. Clark, F. H. Ghorbel, D. L. Ware, and A. Bidani, A human cardiopulmonary system model applied to the analysis of the Valsalva maneuver, Am J Physiol Heart Circ Physiol, vol.2816, pp.2661-2679, 2001.

N. Montano, E. Tobaldini, and A. Porta, The Autonomic Nervous System, Stress Challenges and Immunity in Space: From Mechanisms to Monitoring and Preventive Strategies, pp.71-86, 2011.
DOI : 10.1007/978-3-642-22272-6_6

B. Smith, S. Andreassen, G. Shaw, P. Jensen, S. Rees et al., Simulation of cardiovascular system diseases by including the autonomic nervous system into a minimal model Computer methods and programs in biomedicine 86, pp.153-160, 2007.

C. D. Steinback, D. Salzer, P. J. Medeiros, J. K. Kowalchuk, and . Shoemaker, Hypercapnic vs. hypoxic control of cardiovascular, cardiovagal, and sympathetic function, AJP: Regulatory, Integrative and Comparative Physiology, vol.296, issue.2, pp.402-410, 2009.
DOI : 10.1152/ajpregu.90772.2008

M. Ursino and E. Magosso, Role of short-term cardiovascular regulation in heart period variability: a modeling study, American Journal of Physiology - Heart and Circulatory Physiology, vol.284, issue.4, pp.1479-1493, 2003.
DOI : 10.1152/ajpheart.00850.2002

A. Van-roon, L. Mulder, M. Althaus, and G. Mulder, Introducing a baroreflex model for studying cardiovascular effects of mental workload, Psychophysiology, vol.17, issue.6, pp.961-981, 2004.
DOI : 10.1016/0301-0511(95)05165-1

K. Wesseling and J. Settels, Circulatory model of baro-and cardio-pulmonary reflexes, Blood pressure and heart rate variability, pp.56-67, 1993.

R. Guyton, A. , T. Coleman, and H. Granger, Circulation: overall regulation " . In: Annual review of physiology 34, pp.13-44, 1972.
DOI : 10.1146/annurev.ph.34.030172.000305

A. I. Hernández, V. Le-rolle, D. Ojeda, P. Baconnier, J. Fontecave-jallon et al., Integration of detailed modules in a core model of body fluid homeostasis and blood pressure regulation, Progress in Biophysics and Molecular Biology, vol.107, issue.1, pp.169-182, 2011.
DOI : 10.1016/j.pbiomolbio.2011.06.008

L. Rolle, V. , D. Ojeda, and A. I. Hernández, Embedding a cardiac pulsatile model into an integrated model of the cardiovascular regulation for heart failure follow-up, IEEE transactions on biomedical engineering 58.10, pp.2982-2986, 2011.

L. Rolle, V. , D. Ojeda, A. Beuchee, J. Praud et al., A model-based approach for the evaluation of vagal and sympathetic activities in a newborn lamb, 2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), pp.3881-3884, 2013.
DOI : 10.1109/EMBC.2013.6610392

URL : https://hal.archives-ouvertes.fr/inserm-00881084

D. Ojeda, V. L. Rolle, and A. I. Hernández, A Model of the Cardiovascular System integrating the Coronary Circulation, Recherche en Imagerie et Technologies pour la Santé, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00908821

D. Ojeda, V. Le-rolle, and A. I. Hernández, Analyse de Sensibilité d'un modèle de la circulation coronarienne sur des patients présentant une maladie coronarienne tri-tronculaire, 2012.

D. Ojeda, V. Le-rolle, G. Carrault, and A. I. Hernández, Intégration d'un modèle cardiaque pulsatile dans un modèle complet de la régulation cardiovasculaire, Recherche en Imagerie et Technologies pour la Santé, 2013.

D. Ojeda, V. Le-rolle, A. Drochon, M. Harmouche, H. Corbineau et al., Multiobjective patient-specific estimation of a coronary circulation model for triple vessel disease, 2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), pp.3877-3880, 2013.
DOI : 10.1109/EMBC.2013.6610391

URL : https://hal.archives-ouvertes.fr/inserm-00881719

. Hernández, Sensitivity analysis and parameter estimation of a coronary circulation model for triplevessel disease, Submitted to IEEE transactions on biomedical engineering, 2013.

D. Ojeda, V. Le-rolle, K. Tse-ve-koon, C. Thebault, E. Donal et al., Towards an atrio-ventricular delay optimization assessed by a computer model for cardiac resynchronization therapy, IX International Seminar on Medical Information Processing and Analysis, 2013.
DOI : 10.1117/12.2041977

URL : https://hal.archives-ouvertes.fr/inserm-00912860

A. I. Hernández, V. Le-rolle, D. Ojeda, P. Baconnier, J. Fontecave-jallon et al., Integration of detailed modules in a core model of body fluid homeostasis and blood pressure regulation, Progress in Biophysics and Molecular Biology, vol.107, issue.1, pp.169-182, 2011.
DOI : 10.1016/j.pbiomolbio.2011.06.008

L. Rolle, V. , D. Ojeda, and A. I. Hernández, Embedding a cardiac pulsatile model into an integrated model of the cardiovascular regulation for heart failure follow-up, IEEE transactions on biomedical engineering 58.10, pp.2982-2986, 2011.

. Hernández, Sensitivity analysis and parameter estimation of a coronary circulation model for triplevessel disease, Submitted to IEEE transactions on biomedical engineering, 2013.

L. Rolle, V. , D. Ojeda, A. Beuchee, J. Praud et al., A model-based approach for the evaluation of vagal and sympathetic activities in a newborn lamb, 2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), pp.3881-3884, 2013.
DOI : 10.1109/EMBC.2013.6610392

URL : https://hal.archives-ouvertes.fr/inserm-00881084

D. Ojeda, V. Le-rolle, A. Drochon, M. Harmouche, H. Corbineau et al., Multiobjective patient-specific estimation of a coronary circulation model for triple vessel disease, 2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), pp.3877-3880, 2013.
DOI : 10.1109/EMBC.2013.6610391

URL : https://hal.archives-ouvertes.fr/inserm-00881719

D. Ojeda, V. Le-rolle, K. Tse-ve-koon, C. Thebault, E. Donal et al., Towards an atrio-ventricular delay optimization assessed by a computer model for cardiac resynchronization therapy, IX International Seminar on Medical Information Processing and Analysis, 2013.
DOI : 10.1117/12.2041977

URL : https://hal.archives-ouvertes.fr/inserm-00912860

D. Ojeda, V. L. Rolle, and A. I. Hernández, A Model of the Cardiovascular System integrating the Coronary Circulation, Recherche en Imagerie et Technologies pour la Santé, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00908821

D. Ojeda, V. Le-rolle, and A. I. Hernández, Analyse de Sensibilité d'un modèle de la circulation coronarienne sur des patients présentant une maladie coronarienne tri-tronculaire, 2012.

D. Ojeda, V. Le-rolle, G. Carrault, and A. I. Hernández, Intégration d'un modèle cardiaque pulsatile dans un modèle complet de la régulation cardiovasculaire, Recherche en Imagerie et Technologies pour la Santé, 2013.

D. , S. Sideman, U. Dinnar, and R. Beyar, Analysis of coronary circulation under ischaemic conditions, Med Biol Eng Comput, vol.324, pp.123-132, 1994.

M. Siebes, S. A. Chamuleau, M. Meuwissen, J. J. Piek, and J. A. Spaan, Influence of hemodynamic conditions on fractional flow reserve: parametric analysis of underlying model A physical approach to hemodynamic aspects of the human cardiovascular system " . In: Physical bases of circulatory transport: regulation and exchange, Am J Physiol Heart Circ Physiol, vol.2834, pp.1-45, 1967.

D. Burkhoff and J. V. Tyberg, Why does pulmonary venous pressure rise after onset of LV dysfunction: a theoretical analysis, Am J Physiol, vol.2655, issue.2, pp.1819-1828, 1993.

D. Chung, S. Niranjan, J. Clark, A. Bidani, W. Johnston et al., A dynamic model of ventricular interaction and pericardial influence, American Journal of Physiology-Heart and Circulatory Physiology, vol.2726, p.2942, 1997.

T. L. Davis, Teaching physiology through interactive simulation of hemodynamics, 1991.

L. J. Dell-'italia and R. A. Walsh, Application of a time varying elastance model to right ventricular performance in man, Cardiovascular Research, vol.2212, pp.864-874, 1988.

J. M. Dernellis, C. I. Stefanadis, A. A. Zacharoulis, and P. K. Toutouzas, Left Atrial Mechanical Adaptation to Long-Standing Hemodynamic Loads Based on Pressure???Volume Relations, The American Journal of Cardiology, vol.81, issue.9, pp.1138-1143, 1998.
DOI : 10.1016/S0002-9149(98)00134-9

T. Heldt, Computational models of cardiovascular response to orthostatic stress, 2004.

A. I. Hernández, Fusion de signaux et de modèles pour la caractérisation d'arythmies cardiaques, 2000.

K. T. Koon, C. Thebault, V. Le-rolle, E. Donal, and A. I. Hernández, Atrioventricular delay optimization in cardiac resynchronization therapy assessed by a computer model, In: Computing in Cardiology, pp.333-336, 2010.

T. Korakianitis and Y. Shi, A concentrated parameter model for the human cardiovascular system including heart valve dynamics and atrioventricular interaction, Medical Engineering & Physics, vol.28, issue.7, pp.613-628, 2006.
DOI : 10.1016/j.medengphy.2005.10.004

K. Lu, J. W. Clark, F. H. Ghorbel, D. L. Ware, and A. Bidani, A human cardiopulmonary system model applied to the analysis of the Valsalva maneuver, Am J Physiol Heart Circ Physiol, vol.2816, pp.2661-2679, 2001.

C. Luo, D. Ramachandran, D. L. Ware, T. S. Ma, and J. W. Clark, Modeling left ventricular diastolic dysfunction: classification and key indicators, Theoretical Biology and Medical Modelling, vol.8, issue.1, pp.14-24, 2011.
DOI : 10.1016/S0735-1097(03)00186-4

URL : http://doi.org/10.1186/1742-4682-8-14

S. R. Reuben, Compliance of the Human Pulmonary Arterial System in Disease, Circulation Research, vol.29, issue.1, pp.40-50, 1971.
DOI : 10.1161/01.RES.29.1.40

T. Sato, S. M. Yamashiro, D. Vega, and F. S. Grodins, Parameter sensitivity analysis of a network model of systemic circulatory mechanics, Annals of Biomedical Engineering, vol.30, issue.3, pp.289-306, 1974.
DOI : 10.1007/BF02368499

B. Smith, S. Andreassen, G. Shaw, P. Jensen, S. Rees et al., Simulation of cardiovascular system diseases by including the autonomic nervous system into a minimal model Computer methods and programs in biomedicine 86, pp.153-160, 2007.

M. Ursino, Interaction between carotid baroregulation and the pulsating heart: a mathematical model, In: Am J Physiol, vol.275, pp.2-9513, 1998.

Z. I. Whinnett, J. E. Davies, C. H. Willson, A. W. Manisty, R. A. Chow et al., Haemodynamic effects of changes in atrioventricular and interventricular delay in cardiac resynchronisation therapy show a consistent pattern: analysis of shape, magnitude and relative importance of atrioventricular and interventricular delay, Heart, vol.92, issue.11, pp.1628-1634, 2006.
DOI : 10.1136/hrt.2005.080721

M. .. G72-model, Simplified class diagram of the M2SL implementation for the