Multiscale modelling of cardiac perfusion

Modeling, Simulation and Applications

Volumn 14, Issue , 2015, Pages 51-96

  Lee, Jack ^a   Cookson, Andrew ^a   Chabiniok, Radomir ^a   Rivolo, Simone ^a   Hyde, Eoin ^a   Sinclair, Matthew ^a   Michler, Christian ^a   Sochi, Taha ^a   Smith, Nicolas ^b  

^a ST THOMAS HOSPITAL   (United Kingdom)

^b UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84946164212     PISSN: 20375255     EISSN: 20375263     Source Type: Book Series    
DOI: 10.1007/978-3-319-05230-4_3     Document Type: Article

References (111)

1. Aguado-Sierra, J., Parker, K., Davies, J., Francis, D., Hughes, A., Mayer, J.: Arterial pulse wave velocity in coronary arteries. EMBS Annual International Conference, pp. 867-870 (2006)
2. Ambrosi, D., Quarteroni, A., Rozza, G.: Modeling of Physiological Flows, Springer, Milan (2012)
3. Anrep, G.V., Saalfeld, E.V.: The effect of the cardiac contraction upon the coronary flow. J. Physiol. 79(3), 31-331 (1933)
4. Aquaro, G.D., Todiere, G., Di Bella, G., Guiducci, L., Pingitore, A., Lionetti, V.: A fast and effective method of quantifying myocardial perfusion by magnetic resonance imaging. Int. J. Cardiovasc. Imaging. 29(6), 1313-1324 (2013)
5. Barnard, A., Hunt, W., Timlake, W., Varley, E.: A theory of fluid flow in compliant tubes. Biophysical Journal 6(6) (1966)
6. J. Bear. Dynamics of Fluids in Porous Media. Number 2. Courier Dover Publications, (Aug. 1972)
7. Beaudoin, A., Dreuzy, J.-R., Erhel, J.: An efficient parallel particle tracker for advectiondiffusion simulations in heterogeneous porous media, in: Kermarrec, A.-M., Bougé, L., Priol, T. (eds.): Euro-Par 2007 Parallel Processing, Lecture Notes in Computer Science 4641, pp. 717-726, Springer, Berlin Heidelberg (2007)
8. Beller, G.A., Zaret, B.L.: Contributions of nuclear cardiology to diagnosis and prognosis of patients with coronary artery disease, Circulation 101, 1465-1478 (2000)
9. Bertoglio, C., Barber, D., Gaddum, N., Valverde, I., Rutten, M., Beerbaum, P., Moireau, P., Hose, R., Gerbeau, J.-F.: Identification of artery wall stiffness: in vitro validation and in vivo results of a data assimilation procedure applied to a 3D fluid-structure interaction model. J. Biomech. 47(5), 1027-1034 (2014)
10. Bertoglio, C., Moireau, P., Gerbeau, J.-F.: Sequential parameter estimation in fluidstructure problems. Application to hemodynamics. Int. J. Num. Meth. Biomed. Eng. 28, 434-455 (2012)
11. Bessems, D., Giannopapa, C.G., Rutten, M.C.M., van de Vosse, F.N.: Experimental validation of a time-domain-based wave propagation model of blood flow in viscoelastic vessels. J. Biomech. 41(2), 284-291 (2008)
12. Bishop, A.H., Samady, H.: Fractional flow reserve: Critical review of an important physiologic adjunct to angiography, American Heart Journal 147(5), 792-802 (2004)
13. Bruinsma, P., Arts, T., Dankelman, J., Spaan, J.: Model of the coronary circulation based on pressure dependence of coronary resistance and compliance. Basic Research in Cardiology 83(5), 510-524 (1988)
14. Caruel, M., Chabiniok, R., Moireau, P., Lecarpentier, Y., Chapelle, D.: Dimensional reductions of a cardiac model for effective validation and calibration, Biomechanics and Modeling in Mechanobiology (2013), in press
15. Chabiniok, R., Moireau, P., Lesault, P.-F., Rahmouni, A., Deux, J.-F., Chapelle, D.: Estimation of tissue contractility from cardiac cine-MRI using a biomechanical heart model, Biomechanics and modeling in mechanobiology 11(5), 609-30 (2012)
16. Chapelle, D., Fragu, M., Mallet, V., Moireau, P.: Fundamental principles of data assimilation underlying the Verdandi library: applications to biophysical model personalization within euHeart, Medical & Biological Engineering & Computing (2013)
17. Chapelle, D., Gerbeau, J.-F., Sainte-Marie, J., Vignon-Clementel, I.: A poroelastic model valid in large strains with applications to perfusion in cardiac modeling, Computational Mechanics 46(1), 91-101 (2010)
18. Chilian, W.M., Layne, S.M., Klausner, E.C., Eastham, C.L., Marcus, M.L.: Redistribution of coronary microvascular resistance produced by dipyridamole. American Journal of Physiology - Heart and Circulatory Physiology 256, H383-H390 (1989)
19. Chiribiri, A., Schuster, A., Ishida, M., Hautvast, G., Zarinabad, N., Morton, G., Otton, J., Plein, S., Breeuwer, M., Batchelor, P., Schaeffter, T., Nagel, E.: Perfusion phantom: An efficient and reproducible method to simulate myocardial first-pass perfusion measurements with cardiovascular magnetic resonance, Magnetic Resonance in Medicine 69(3), 698-707 (2013)
20. Cookson, A.N., Lee, J., Michler, C., Chabiniok, R., Hyde, E., Nordsletten, D., Smith, N.P.: A spatially-distributed computational model to quantify behaviour of contrast agents in MR perfusion imaging. Medical Image Analysis, (in review) (2013)
21. Cookson, A.N., Lee, J., Michler, C., Chabiniok, R., Hyde, E.R., Nordsletten, D.A., Sinclair, M., Siebes, M., Smith, N.P.: A novel porous mechanical framework for modelling the interaction between coronary perfusion and myocardial mechanics, J. Biomech. 45(5), 850-855 (2012)
22. Corrado, C., Gerbeau, J., Moireau, P.: Identification of weakly coupled multiphysics problems. Application to the inverse problem of electrocardiology, J. Computational Physics (in review) (2014)
23. Coussy, O.: Mechanics of porous continua. Wiley (1995)
24. Coussy, O.: Poromechanics. Wiley (2004)
25. Davies, J.E., Whinnett, Z.I., Francis, D.P., Manisty, C.H., Aguado-Sierra, J., Willson, K., Foale, R., Malik, I.S., Hughes, A.D., Parker, K.H., Mayet, J.: Evidence of a dominant backward-propagating "suction" wave responsible for diastolic coronary filling in humans, attenuated in left ventricular hypertrophy, Circulation, 113(14), 1768-78 (2006)
26. De Silva, K., Foster, P., Guilcher, A., Bandara, A., Jogiya, R., Lockie, T., Chowiencyzk, P., Nagel, E., Marber, M., Redwood, S., Plein, S., Perera, D.: Coronary Wave Energy: A Novel Predictor of Functional Recovery After Myocardial Infarction, Circulation. Cardiovascular interventions (March 2013)
27. Dormieux, L., Kondo, D., Ulm, F.-J.: Microporomechanics, Wiley (2004)
28. Escaned, J.: Imaging: Can FFRCT replace old indices of coronary stenosis severity? Nature Reviews Cardiology (2014)
29. Factor, S.M., Okun, E.M., Minase, T., Kirk, E.S.: The microcirculation of the human heart: end-capillary loops with discrete perfusion fields, Circulation, 66(6), 1241-1248 (1982)
30. Federico, S., Grillo, A.: Elasticity and permeability of porous fibre-reinforced materials under large deformations, Mechanics of Materials 44, 58-71 (2012)
31. Fischer, J.J., Samady, H., McPherson, J.A., Sarembock, I.J., Powers, E.R., Gimple, L.W., Ragosta, M.: Comparison between visual assessment and quantitative angiography versus fractional flow reserve for native coronary narrowings of moderate severity, The American Journal of Cardiology 90, 210-215 (2002)
32. Fiss, D.M.: Normal coronary anatomy and anatomic variations, Supplement to Applied Radiology, pp. 14-26 (2007)
33. Formaggia, L., Lamponi, D., Quarteroni, A.: One-dimensional models for blood flow in arteries, Journal of Engineering Mathematics (2002)
34. Formaggia, L., Nobile, F., Quarteroni, A., Veneziani, A.: Multiscale modelling of the circulatory system: a preliminary analysis, Computing and visualization in science 2(2-3), 75-83 (1999)
35. Formaggia, L., Quarteroni, A., Veneziani, A.: Cardiovascular Mathematics: Modeling and simulation of the circulatory system, Springer, Milan (2009)
36. Fulton, W.F.M.: Arterial anastomoses in the coronary circulation. i. anatomical features in normal and diseased hearts demonstrated by stereoarteriography, Scottish Med. J. 8, 420-434 (1963)
37. Gould, K.L., Kirkeeide, R.L., Buchi, M.: Coronary flow reserve as a physiologic measure of stenosis severity, JACC 15(2), 459-474 (1990)
38. Gregg, D.E., Green, H.D.: Registration and interpretation of normal phasic inflow into the left coronary artery by an improved differential manometric method, Am. J. Physiol. 130, 114-125 (1940)
39. Hautvast, G.L.T.F., Chiribiri, A., Lockie, T., Breeuwer, M., Nagel, E., Plein, S.: Quantitative analysis of transmural gradients in myocardial perfusion magnetic resonance images. Magnetic Resonance in Medicine 66, 1477-1487 (2011)
40. Helfant, R.H., Vokonas, P.S., Gorlin, R.: Functional importance of the human coronary collateral circulation, New England Journal of Medicine 284(23), 1277-1281 (1971)
41. Holzapfel, G.A., Ogden, R.W.: Constitutive modelling of passive myocardium: a structurally based framework for material characterization, Philosophical transactions. Series A, Mathematical, physical, and engineering sciences 367(1902), 3445-75 (2009)
42. Hsu, L.-Y., Kellman, P., Arai, A.E.: Nonlinear myocardial signal intensity correction improves quantification of contrast-enhanced first-pass MR perfusion in humans, J. Magn. Reson. Imaging 27(4), 793-801 (2008)
43. Hughes, T.J., Lubliner, J.: On the one-dimensional theory of blood flow in the larger vessels (1973)
44. Huyghe, J.M., Arts, T., van Campen, D.H., Reneman, R.S.: Porous medium finite element model of the beating left ventricle, American Journal of Physiology-Heart and Circulatory Physiology 262(4), H1256-H1267 (1992)
45. Huyghe, J.M., Van Campen, D.H.: Finite deformation theory of hierarchically arranged porous solids. I: Balance of mass and momentum, International J. Engineering Science 33(13), 1861-1871 (1995)
46. Hyde, E.R., Cookson, A.N., Lee, J., Michler, C., Goyal, A., Sochi, T., Chabiniok, R., Sinclair, M., Nordsletten, D.A., Spaan, J., van den Wijngaard, J.P.H.M., Siebes, M., Smith, N.P.: Multi-Scale Parameterisation of a Myocardial Perfusion Model Using Whole- Organ Arterial Networks, Annals of biomedical engineering (Dec. 2013)
47. Hyde, E.R., Michler, C., Lee, J., Cookson, A.N., Chabiniok, R., Nordsletten, D.A., Smith, N.P.: Parameterisation of multi-scale continuum perfusion models from discrete vascular networks, Med. Biol. Eng. Comput. 51(5), 557-570 (2013)
48. Imperiale, A., Chabiniok, R., Moireau, P., Chapelle, D.: Constitutive Parameter Estimation Using Tagged-MRI Data. In D.N. Metaxas and L. Axel, editors, FIMH’11 - Sixth International Conference on Functional Imaging and Modeling of the Heart, vol. 6666, pp. 409-417, Springer, New York (2011)
49. Ishida, M., Sakuma, H., Murashima, S., Nishida, J., Senga, M., Kobayasi, S., Takeda, K., Kato, N.: Absolute blood contrast concentration and blood signal saturation on myocardial perfusion MRI: Estimation from CT data, J. Magnetic Resonance Imaging 29(1), 205-210 (2009)
50. Jogiya, R., Kozerke, S., Morton, G., De Silva, K., Redwood, S., Perera, D., Nagel, E., Plein, S.: Validation of dynamic 3-dimensional whole heart magnetic resonance myocardial perfusion imaging against fractional flow reserve for the detection of significant coronary artery disease, JACC 60(5), 756-765 (2012)
51. Johnson, N.P., Kirkeeide, R.L., Gould, K.L.: Is discordance of coronary flow reserve and fractional flow reserve due to methodology or clinically relevant coronary pathophysiology? JACC Cardiovasc Imaging 5(2), 193-202 (2012)
52. Judd, R.M., Levy, B.I.: Effects of barium-induced cardiac contraction on large- and small-vessel intramyocardial blood volume, Circulation Research 56(3), 293-309 (1985)
53. Kajiya, F., Tomonaga, G., Tsujioka, K., Ogasawara, Y., Nishihara, H.: Evaluation of local blood flow velocity in proximal and distal coronary arteries by laser Doppler method, Journal of biomechanical engineering 107, 10-15 (1985)
54. Kassab, G.S.: Scaling laws of vascular trees: of form and function, Am J Physiol., (2006) 290:H894-903
55. Kassab, G.S., Rider, C.A., Tang, N.J., Fung, Y.: Morphometry of pig coronary arterial trees. Am. J. Physiol. 265, 350-365 (1993)
56. Kerckhoffs, R., Bovendeerd, P., Prinzen, F., Smits, K., Arts, T.: Intra-and interventricular asynchrony of electromechanics in the ventricularly paced heart, J. Engineering Mathematics 47(3-4), 201-216 (2003)
57. Kim, H.J., Vignon-Clementel, I.E., Coogan, J.S., Figueroa, C.A., Jansen, K.E., Taylor, C.A.: Patient-specific modeling of blood flow and pressure in human coronary arteries, Annals of Biomedical Engineering 38(10), 3195-209 (2010)
58. Lee, J., Cookson, A., Roy, I., Kerfoot, E., Asner, L., Vigueras, G., Sochi, T.: C. Michler, N. Smith, and D. Nordsletten. Cheart: Amulti-physics parallel computing engine, in prep.
59. Lee, J., Nordsletten, D., Cookson, A., Rivolo, S., Smith, N.: In silico coronary wave intensity analysis: cardiac function to wave generating mechanisms, J. Physiology, in review
60. Lee, J., Smith, N.: Development and application of a one-dimensional blood flow model for microvascular networks. Proceedings of the Institution of Mechanical Engineers, Part H, J. Engineering in Medicine 222, 487-511 (2008)
61. Lee, J., Smith, N.P.: The Multi-Scale Modelling of Coronary Blood Flow, Annals of biomedical engineering (May 2012)
62. Zamir, H.C.M.: Branching characteristics of human coronary arteries, Can. J. Physiol. Pharmacol. 64, 661-668 (1986)
63. Makowski, M.R., Henningsson, M., Spuentrup, E., Kim, W.Y., Maintz, D., Manning, W., Botnar, R.: Characterization of coronary atherosclerosis by magnetic resonance imaging, Circulation 128, 1244-1255 (2013)
64. Matthys, K.S., Alastruey, J., Peiró, J., Khir, A.W., Segers, P., Verdonck, P.R., Parker, K.H., Sherwin, S.J.: Pulse wave propagation in a model human arterial network: assessment of 1-D numerical simulations against in vitro measurements, J. biomechanics 40(15), 3476-86 (2007)
65. Meier, P., Gloekler, S., Zbinden, R., Beckh, S., de Marchi, S.F., Zbinden, S., Wustmann, K., Billinger, M., Vogel, R., Cook, S., Wenaweser, P., Togni, M., Windecker, S., Meier, B., Seiler, C.: Beneficial effect of recruitable collaterals a 10-year follow-up study in patients with stable coronary artery disease undergoing quantitative collateral measurements, Circulation 116(9), 975-983 (2007)
66. Moireau, P., Bertoglio, C., Xiao, N., Figueroa, C.A., Taylor, C., Chapelle, D., Gerbeau, J.-F.: Sequential identification of boundary support parameters in a fluid-structure vascular model using patient image data, Biomechanics and Modeling in Mechanobiology 12(3), 475-496 (2012)
67. Murray, S.W., Rathore, S., Stables, R.H., Palmer, N.D.: Contemporary coronary imaging from patient to plaque - part 1: IVUS-derived virtual histology, British J. Cardiology 17(3), 129-132 (2010)
68. Mynard, J.P., Nithiarasu, P.: A 1D arterial blood flow model incorporating ventricular pressure, aortic valve and regional coronary flow using the locally conservative Galerkin (LCG) method, Communications In Numerical Methods In Engineering, 367-417 (March 2008)
69. Mynard, J.P., Penny, D.J., Smolich, J.J.: Scalability and in-vivo validation of a multiscale numerical model of the left coronary circulation, American J. Physiology - Heart and Circulatory Physiology (2013)
70. Nagler, A., Bertoglio, C., Gee, M., Wall, W.: Personalization of cardiac fiber orientations from image data using the unscented kalman filter. In S. Ourselin, D. Rueckert, and N. Smith, editors, 7th International Conference on Functional Imaging and Modeling of the Heart, FIMH 2013, Lecture Notes in Computer Science 7945, pp. 132-140. Springer- Verlag, Berlin Heidelberg (2013)
71. Niederer, S.A., Plank, G., Chinchapatnam, P., Ginks, M., Lamata, P., Rhode, K.S., Rinaldi, C.A., Razavi, R., Smith, N.P.: Length-dependent tension in the failing heart and the efficacy of cardiac resynchronization therapy, Cardiovascular Research 89(2), 336-343 (2011)
72. Nolte, F., Hyde, E.R., Rolandi, C., Lee, J., van Horssen, P., Asrress, K., van den Wijngaard, J.P.H.M., Cookson, A.N., van de Hoef, T., Chabiniok, R., Razavi, R., Michler, C., Hautvast, G.L.T.F., Piek, J.J., Breeuwer, M., Siebes, M., Nagel, E., Smith, N.P., Spaan, J.A.E.: Myocardial perfusion distribution and coronary arterial pressure and flow signals: clinical relevance in relation to multiscale modeling, a review, Med. Biol. Eng. Comput. 51(11), 1271-1286 (2013)
73. Nørgaard, B.L., Leipsic, J., Gaur, S., Seneviratne, S., Ko, B.S., Ito, H., Jensen, J.M., Mauri, L., De Bruyne, B., Bezerra, H., et al.: Diagnostic performance of non-invasive fractional flow reserve derived from coronary ct angiography in suspected coronary artery disease: The NXT trial, J. American College of Cardiology (2014)
74. Obaid, D.R., Murray, S.W., Palmer, N.D., Rudd, J.H.F.: Contemporary coronary imaging from patient to plaque - part 3: cardiac computed tomography, British J. Cardiology 17(5), 235-239 (2010)
75. Olufsen, M.: Structured tree outflow condition for blood flow in larger systemic arteries, American J. Physiology - Heart and Circulatory Physiology (1999)
76. Parker, K.H.: An introduction to wave intensity analysis, Medical & biological engineering & computing 47(2), 175-88 (2009)
77. Pedley, T.J.: The Fluid Mechanics of Large Blood Vessels (1980)
78. Pijls, N.H., van Son, J.A., Kirkeeide, R.L., De Bruyne Gould, K.L.: Experimental basis of determining maximum coronary, B., myocardial, and collateral blood flow by pressure measurements for assessing functional stenosis severity before and after percutaneous transluminal coronary angioplasty, Circulation 87, 1354-1367 (1993)
79. Pindera, M.Z., Ding, H., Athavale, M.M., Chen, Z.: Accuracy of 1D microvascular flow models in the limit of low Reynolds numbers, Microvascular research 77(3), 273-280 (2009)
80. Prinzen Bassingthwaighte, J.B.: Blood flow distributions by microsphere deposition methods, F.W., Cardiovascular Research 45, 13-21 (2000)
81. Radjenovic, A., Biglands, J.D., Larghat, A., Ridgway, J.P., Ball, S.G., Greenwood, J.P., Jerosch-Herold, M., Plein, S.: Estimates of systolic and diastolic myocardial blood flow by dynamic contrast-enhanced MRI, Magnetic Resonance in Medicine 64, 1696-1703 (2010)
82. Rathore, S., Murray, S., Stables, R., Palmer, N.: From patient to plaque. contemporary coronary imaging, part 2: optical coherence tomography, British J. Cardiology 17(4), 190-193 (2010)
83. Reymond, P., Merenda, F., Perren, F., Rüfenacht, D., Stergiopulos, N.: Validation of a one-dimensional model of the systemic arterial tree, American J. Physiology, Heart and circulatory physiology 297(1), H208-222 (2009)
84. Schuster, A., Grünwald, I., Chiribiri, A., Southworth, R., Ishida, M., Hay, G., Neumann, N. Morton, Perera, D. G., Schaeffter, T., Nagel, E.: An isolated perfused pig heart model for the development, validation and translation of novel cardiovascular magnetic resonance techniques, J. Cardiovascular Magnetic Resonance 12(53) (2010)
85. Sherwin, S., Formaggia, L., Peiro, J.: Computational modelling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system, International J. Numerical Methods in Fluids 43, 673-700 (2003)
86. Sherwin, S.J., Alastruey, J., Parker, K.H., Peir, J.: Lumped Parameter Outflow Models for 1-D Blood Flow Simulations: Effect on Pulse Waves and Parameter Estimation, Communications in Computational Physics 4(2), 317-336 (2008)
87. Sherwin, S.J., Franke, V., Peir, J., Parker, K.H.: One-dimensional modelling of a vascular network in space-time variables, J. Engineering Mathematics 47, 217-250 (2003)
88. R. Shipley and S. Chapman. Multiscale modelling of fluid and drug transport in vascular tumours, Bulletin of Mathematical Biology 72(6), 1464-1491 (2010)
89. Smith, N.P., Pullan, A.J., Hunter, P.J.: An Anatomically Based Model of Transient Coronary Blood Flow in the Heart, SIAM J. Applied Mathematics 62(3), 990 (2002)
90. Spaan, J.A.E.: Coronary diastolic pressure-flow relation and zero flow pressure explained on the basis of intramyocardial compliance, Circulation Research 56(3), 293-309 (1985)
91. Spaan, J.A.E., Kolyva, C., van den Wijngaard, J.P.H.M., ter Wee, R., van Horssen, P., Piek, J.J., Siebes, M.: Coronary structure and perfusion in health and disease. Philosophical transactions, Series A, Mathematical, physical, and engineering sciences 366(1878), 3137-53 (2008)
92. Spaan, J.A.E., Siebes, M., Wee, R., Kolyva, C., Vink, H., Fokkema, D.S., Streekstra, G., Vanbavel, E.: Visualisation of intramural coronary vasculature by an imaging cryomicrotome suggests compartmentalisation of myocardial perfusion areas, Med. Biol. Eng. Comput. 43, 43-435 (2005)
93. Steele, B.N., Wan, J., Ku, J.P., Hughes, T.J.R., Taylor, C.A.: In vivo validation of a onedimensional finite-element method for predicting blood flow in cardiovascular bypass grafts, IEEE Trans. Biomed. Eng. 50(6), 649-656 (2003)
94. Stettler, J., Niederer, P., Anliker, M.: Theoretical analysis of arterial hemodynamics including the influence of bifurcations, Annals of Biomedical Engineering 9(2), 145-164 (1981)
95. Taylor, C.A., Steinman, D.A.: Image-based modeling of blood flow and vessel wall dynamics: applications, methods and future directions, Annals of Biomedical Engineering 38(3), 1188-1203 (2010)
96. Topol, J.E., Nissen, S.E.: Our preoccupation with coronary luminology, Circulation 92, 2333-2342 (1995)
97. Toyota, E., Ogasawara, Y., Hiramatsu, O., Tachibana, H., Kajiya, F., Yamamori, S., Chilian, W.M.: Dynamics of flow velocities in endocardial and epicardial coronary arterioles, American Journal of Physiology-Heart and Circulatory Physiology 57(4), H1598 (2005)
98. Traupe, T., Gloekler, S., de Marchi, S.F., Werner, G.S., Seiler, C.: Assessment of the human coronary collateral circulation, Circulation 122(12), 1210-1220 (2010)
99. van de Vosse, F.N., Stergiopulos, N.: Pulse Wave Propagation in the Arterial Tree, Annual Review of Fluid Mechanics 43(1), 467-499 (2011)
100. van den Wijngaard, J.P.H.M., van Horssen, P., ter Wee, R., Coronel, R., de Bakker, J.M., de Jonge, N., Siebes, M., Spaan, J.A.E.: Organization and collateralization of a subendocardial plexus in end-stage human heart failure, American J. Physiology - Heart and circulatory physiology 298(1), H158-62 (2010)
101. Vankan, W., Huyghe, J., Janssen, J.: Poroelasticity of saturated solids with an application to blood perfusion, Int. J. Eng. Sci. 34(9), 1019-1031 (1996)
102. Vankan, W.J., Huyghe, J.M., Janssen, J.D., Huson, A., Schreiner, W.: Finite element blood flow through biological tissue, Int. J. Engng. Sci. 35(4), 375-385 (1997)
103. Vignon, I., Taylor, C.: Outflow boundary conditions for one-dimensional finite element modeling of blood flow and pressure waves in arteries, Wave Motion 39(4), 361-374 (2004)
104. Werner, G.S., Ferrari, M., Heinke, S., Kuethe, F., Surber, R., Richartz, B.M., Figulla, H.R.: Angiographic assessment of collateral connections in comparison with invasively determined collateral function in chronic coronary occlusions, Circulation 107(15), 1972-1977 (2003)
105. Westerhof, N., Boer, C., Lamberts, R., Sipkema, P.: Cross-talk between cardiac muscle and coronary vasculature, Physiol. Rev. 86, 1263-1308 (2006)
106. Westerhof, N., Lankhaar, J.-W., Westerhof, B.: The arterial windkessel, Medical & Biological Engineering & Computing 47(2), 131-141 (2009)
107. Willemet, M., Lacroix, V., Marchandise, E.: Inlet boundary conditions for blood flow simulations in truncated arterial networks, J. Biomechanics 44(5), 897-903 (2011)
108. Xi, J., Lamata, P., Lee, J., Moireau, P., Chapelle, D., Smith, N.: Myocardial transversely isotropic material parameter estimation from in-silico measurements based on reducedorder unscented Kalman filter, J. mechanical behavior of biomedical materials 4(7), 1090-1102 (2011)
109. Xi, J., Lamata, P., Shi, W., Niederer, S., Land, S., Rueckert, D., Duckett, S.G., Shetty, A.K., Rinaldi, C.A., Razavi, R., Smith, N.: An Automatic Data Assimilation Framework for Patient-Specific Myocardial Mechanical Parameter Estimation, in: Metaxas, D.N., Axel, L. (eds.), FIMH’11 - Sixth International Conference on Functional Imaging and Modeling of the Heart, vol. 6666, pp. 392-400, Springer, New York (2011)
110. Zamir, M.: Cost analysis of arterial branching in the cardiovascular systems of man and animals, J. Theor. Biol. 120, 111-23 (1986)
111. Zarinabad, N., Chiribiri, A., Breeuwer, M.: Myocardial blood flow quantification from MRI - an image analysis perspective, Current Cardiovascular Imaging Reports 7(1), 1-9 (2014)