F. W. Mohr, M. Morice, A. P. Kappetein, T. E. Feldman, E. Sthle 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

S. L. Waters, J. Alastruey, D. A. Beard, P. H. Bovendeerd, P. F. 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

K. Sagawa, R. Lie, and J. Schaefer, Translation of Otto Frank's paper " die grundform des arteriellen pulses, zeitschrift fur biologie Journal of molecular and cellular cardiology, vol.37, issue.253, pp.483-526, 1899.

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

J. Z. Wang, B. Tie, W. Welkowitz, J. Kostis, and J. 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

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

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

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, pp.2507-2511, 2003.
DOI : 10.1161/01.CIR.0000065118.99409.5F

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

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.35, issue.4, pp.949-955, 2000.

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

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

G. S. Werner, M. Ferrari, S. Heinke, F. Kuethe, R. Surber et al., Angiographic Assessment of Collateral Connections in Comparison With Invasively Determined Collateral Function in Chronic Coronary Occlusions, Circulation, vol.107, issue.15, pp.1972-1977, 2003.
DOI : 10.1161/01.CIR.0000061953.72662.3A

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/hal-00308489

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

H. Corbineau, J. P. Verhoye, T. Langanay, P. Ménestret, and A. 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

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

]. K. Rentrop, M. Cohen, H. Blanke, and R. A. 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

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, pp.4923-4940, 1908.
DOI : 10.1529/biophysj.103.035840

J. Rockstroh and B. G. Brown, Coronary Collateral Size, Flow Capacity, and Growth: Estimates From the Angiogram in Patients With Obstructive Coronary Disease, Circulation, vol.105, issue.2, pp.168-173, 2002.
DOI : 10.1161/hc0202.102120

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, vol.79, issue.2, pp.261-263, 2012.
DOI : 10.1016/j.mehy.2012.05.004

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

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, pp.103-107, 2013.
DOI : 10.1016/j.medengphy.2012.04.005

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

M. Morris, Factorial Sampling Plans for Preliminary Computational Experiments, Technometrics, vol.1, issue.2, pp.161-174, 1991.
DOI : 10.2307/1266468

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

V. Le-rolle, D. Ojeda, and A. I. Hernández, Embedding a Cardiac Pulsatile Model Into an Integrated Model of the Cardiovascular Regulation for Heart Failure Followup, IEEE Transactions on Biomedical Engineering, vol.58, issue.10, pp.2982-2986, 2011.
DOI : 10.1109/TBME.2011.2159715

URL : https://hal.archives-ouvertes.fr/inserm-00654827

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

K. Deb, A. Pratap, S. Agarwal, and T. Meyarivan, A fast and elitist multiobjective genetic algorithm: Nsga-ii, Evolutionary Computation, IEEE Transactions on, vol.6, issue.2, pp.182-197, 2002.

S. Kaul and A. R. Jayaweera, Myocardial Capillaries and Coronary Flow Reserve??????Editorials published in the Journal of the American College of Cardiology reflect the views of the authors and do not necessarily represent the views of JACC or the American College of Cardiology., Journal of the American College of Cardiology, vol.52, issue.17, pp.1399-1401, 2008.
DOI : 10.1016/j.jacc.2008.07.039

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

N. H. Pijls, G. J. Bech, M. I. Gamal, H. J. Bonnier, B. 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

S. T. Lee, S. Y. Kim, G. Hur, Y. J. Hwang, Y. H. Kim et al., Coronary-to-Bronchial Artery Fistula, Journal of Computer Assisted Tomography, vol.32, issue.3, pp.444-447, 2008.
DOI : 10.1097/RCT.0b013e318123837c

C. Jones, L. Kuo, M. J. Davis, and W. M. Chilian, In vivo and in vitro vasoactive reactions of coronary arteriolar microvessels to nitroglycerin, American Journal of Physiology-Heart and Circulatory Physiology, vol.271, issue.2, pp.461-468, 1996.

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

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

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

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 2012 (VPH2012), 2012.

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