An anatomically detailed arterial network model for one-dimensional computational hemodynamics

IEEE Transactions on Biomedical Engineering

Volumn 62, Issue 2, 2015, Pages 736-753

  Blanco, Pablo J ^a,b   Watanabe, Sansuke M ^b,c   Passos, Marco Aurélio R F ^b,d,e   Lemos, Pedro A ^b,f   Feijóo, Raúl A ^a,b  

^a LABORATÓRIO NACIONAL DE COMPUTAÇÃO CIENTÍFICA   (Brazil)

^b National Institute of Science and Technology Medicine Assisted by Scientific Computing   (Brazil)

^c UNIVERSIDADE FEDERAL RURAL DE PERNAMBUCO   (Brazil)

^d STATE UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^e Petropolis School of Medicine   (Brazil)

^f UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

1 D model; Blood flow; patient specific; vascular anatomy; waveforms

Indexed keywords

BLOOD; BLOOD VESSELS; CARDIOLOGY; COMPUTATIONAL FLUID DYNAMICS; CUTTING TOOLS; DISEASES; HEMODYNAMICS; ONE DIMENSIONAL; SENSITIVITY ANALYSIS; WAVE PROPAGATION;

1-D MODELS; BLOOD FLOW; PATIENT SPECIFIC; VASCULAR ANATOMY; WAVE FORMS;

PHYSIOLOGICAL MODELS;

ARTERIAL VASCULATURE; ARTERY BLOOD FLOW; ARTERY WALL; ARTICLE; CARDIOVASCULAR DISEASE; COMPUTATIONAL FLUID DYNAMICS; CONFORMATION; CONTROLLED STUDY; HEMODYNAMICS; HUMAN; MATHEMATICAL MODEL; MEDICAL LITERATURE; ONE DIMENSIONAL COMPUTATIONAL HEMODYNAMICS; PARAMETERS; PRESSURE; SENSITIVITY ANALYSIS; SIMULATION; VASCULARIZATION; WAVEFORM; ADULT; ANATOMY AND HISTOLOGY; ARTERY; AUDIOVISUAL EQUIPMENT; BIOLOGICAL MODEL; BLOOD FLOW; BLOOD FLOW VELOCITY; BLOOD PRESSURE; COMPUTER SIMULATION; MALE; PHYSIOLOGY; VASCULAR RESISTANCE;

ADULT; ARTERIES; BLOOD FLOW VELOCITY; BLOOD PRESSURE; COMPUTER SIMULATION; HUMANS; MALE; MODELS, ANATOMIC; MODELS, CARDIOVASCULAR; REGIONAL BLOOD FLOW; VASCULAR RESISTANCE;

EID: 84921461988     PISSN: 00189294     EISSN: 15582531     Source Type: Journal    
DOI: 10.1109/TBME.2014.2364522     Document Type: Article

References (77)

1. R. Nerem and J. Cornhill, "The role of fluid mechanics in atherogenesis," J. Biomech. Eng., vol. 102, pp. 181-189, 1980.
2. M. Friedman et al., "Arterial geometry affects hemodynamics. Apotential risk factor for athersoclerosis," Atherosclerosis, vol. 46, pp. 225-231, 1983.
3. C. Zarins et al., "Carotid bifurcation atherosclerosis. Quantitative correlation of plaque localization with flow velocity profiles and wall shear stress," Circ. Res., vol. 53, pp. 502-514, 1983.
4. D. Ku et al., "Pulsatile flow and atherosclerosis in the human carotid bifurcation. Positive correlation between plaque location and low oscillating shear stress," Arteriosclerosis, vol. 5, pp. 293-302, 1985.
5. C. Zarins et al., "Shear stress regulation of artery lumen diameter in experimental atherogenesis," J. Vasc. Surg., vol. 5, pp. 413-420, 1987.
6. M. Friedman, "A biologically plausiblemodel of thinking of arterial intima under shear," Arteriosclerosis, vol. 9, pp. 511-522, 1989.
7. E. Gao et al., "Atheoretical model of cerebral hemodynamics: application to the study of arteriovenous malformations," J. Cerebral Blood Flow Metabolism, vol. 17, pp. 905-918, 1997.
8. F. Migliavacca et al., "Multiscale modelling in biofluidynamics: Application to reconstructive paediatric cardiac surgery," J. Biomech., vol. 39, pp. 1010-1020, 2006.
9. G. Pennati et al., "Boundary conditions of patient-specific fluid dynamics modelling of cavopulmonary connections: Possible adaptation of pulmonary resistances results in a critical issue for a virtual surgical planning," Interface Focus, vol. 1, pp. 297-307, 2011.
10. J. Revie, D. Stevenson et al., "Clinical detection and monitoring of acute pulmonary embolism: Proof of concept of a computer-based method," Ann. Intensive Care, vol. 1, pp. 1-33, 2011.
11. C. Taylor et al., "Computational fluid dynamics applied to cardiac computed tomography for noninvasive quantification of fractional flowreserve. Scientific basis," J. Amer. Coll. Cardiol., vol. 61, pp. 2233-2241, 2013.
12. C. Zarins et al., "Computed fractional flow reserve (FFTCT) derived from coronary CT angiography," J. Cardiovasc. Trans. Res., vol. 6, pp. 708-714, 2013.
13. P. Hunter and P. Nielsen, "A strategy for integrative computational physiology," Physiology, vol. 20, pp. 316-325, 2005.
14. J. Ricotta et al., "Cardiovascular diseasemanagement: The need for better diagnostics," Med. Biol. Eng. Comput., vol. 46, pp. 1059-1068, 2008.
15. A. Barnard et al., "Peaking of the pressure pulse in fluid-filled tubes of spatially varying compliance," Biophys. J., vol. 6, pp. 735-746, 1966.
16. -, "A theory of fluid flow in compliant tubes," Biophys. J., vol. 6, pp. 717-724, 1966.
17. T. Hughes and J. Lubliner, "On the one-dimensional theory of blood flow in the larger vessels," Math. Biosci., vol. 18, pp. 161-170, 1973.
18. J. Lambert, "Fluid flow in a nonrigid tube," Ph.D. dissertation, Purdue University, West Lafayette, IN, USA, Aug. 1956.
19. Y. Kivity, and R. Collins, "Nonlinear wave propagation in viscoelastic tubes: application to aortic rupture," J. Biomech., vol. 7, pp. 67-76, 1974.
20. M. Anliker et al., "Nonlinear analysis of flow pulses and shock waves in arteries. Part I: Derivation and properties of mathematical model," J. Appl. Math. Phys., vol. 22, pp. 217-246, 1971.
21. -, "Nonlinear analysis of flow pulses and shock waves in arteries. Part II: Parametric study related to clinical problems," J. Appl. Math. Phys., vol. 22, pp. 563-581, 1971.
22. A. Noordergraaf et al., "The use of an analog computer in a circulation model," Prog. Cardiovasc. Dis., vol. 5, pp. 419-439, 1963.
23. B. Schaaf and P. Abbrecht, "Digital computer simulation of human systemic arterial pulse wave transmission: A nonlinear model," J. Biomech., vol. 5, pp. 345-364, 1972.
24. M. Spencer and A. Deninson, "The square-wave electro-magnetic flowmeter. Theory of operation and design of magnetic probes for clinical and experimental applications," IRE Trans. Med. Electron., vol. ME-6, no. 4, pp. 220-228, Dec. 1959.
25. N. Westerhof et al., "Analog studies of the human systemic arterial tree," J. Biomech., vol. 2, pp. 121-143, 1969.
26. A. Avolio, "Multi-branched model of the human arterial system," Med. Biol. Eng. Comput., vol. 18, pp. 709-718, 1980.
27. J. Stettler et al., "Theoretical analysis of arterial hemodynamics including the influence of bifurcations. Part I: Mathematical model and prediction of normal pulse patterns," Ann. Biomed. Eng., vol. 9, pp. 145-164, 1981.
28. J. Stettler et al., "Theoretical analysis of arterial hemodynamics including the influence of bifurcations. Part II: Critical evaluation of theoretical model and comparison with noninvasive measurements of flow patterns in normal and pathological cases," Ann. Biomed. Eng., vol. 9, pp. 165-175, 1981.
29. N. Stergiopulos et al., "Computer simulation of arterial flow with applications to arterial and aortic stenoses," J. Biomech., vol. 25, pp. 1477-1488, 1992.
30. S. Sherwin et al., "One-dimensional modelling of a vascular network in space-time variables," J. Eng. Math., vol. 47, pp. 217-250, 2003.
31. J. Alastruey et al., "Pulse wave propagation in a model human arterial network: Assessment of 1-D visco-elastic simulations against in vitro measurements," J. Biomech., vol. 44, pp. 2250-2258, 2011.
32. K. Matthys et al., "Pulse wave propagation in a model human arterial network: Assessment of 1-D numerical simulations against in vitro measurements," J. Biomech., vol. 40, pp. 3476-3486, 2007.
33. M. Olufsen et al., "Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions," Ann. Biomed. Eng., vol. 28, pp. 1281-1299, 2000.
34. P. Reymond et al., "Validation of a one-dimensionalmodel of the systemic arterial tree," Amer. J. Physiol. Heart Circ. Physiol., vol. 297, pp. H208-H222, 2009.
35. P. Reymond et al., "Validation of a patient-specific one-dimensional model of the systemic arterial tree,"Amer. J. Physiol. Heart Circ. Physiol., vol. 301, pp. H1173-H1182, 2011.
36. N. Xiao et al., "A systematic comparison between 1-D and 3-D hemodynamics in compliant arterial models," Int. J. Num. Meth. Biomed. Eng., vol. 30, pp. 204-231, 2014.
37. D. Lombardi, "Inverse problems in 1D hemodynamics on systemic networks: A sequential approach," Int. J. Num. Meth. Biomed. Eng., vol. 30, pp. 160-179, 2014.
38. F. Liang et al., "Patient-specific assessment of cardiovascular function by combination of clinical data and computationalmodel with applications to patients undergoing Fontan operation," Int. J. Num. Meth. Biomed. Eng., vol. 30, pp. 1000-1018, 2014.
39. W. Dauber, Pocket Atlas of Human Anatomy by Feneis, 5th ed. New York, NY, USA: Thieme, 2007.
40. F. Netter, Atlas of Human Anatomy, 5th ed. New York, NY, USA: Elsevier, 2011.
41. P. Blanco et al., "Blood flow distribution in an anatomically detailed arterial network model: Criteria and algorithms," Biomechanics Modeling Mechanobiol., vol. 13, pp. 1303-1330, 2014.
42. HeMoLab, ADAN-WEB application, 2013. [Online]. Available: http://hemolab.lncc.br/adan-web
43. A. Green and P. Naghdi, "A direct theory of viscous fluid flow in pipes I. Basic general developments," Philos. Trans. Roy. Soc. London A, Math. Phys. Sci., vol. 342, pp. 525-542, 1993.
44. A. Green et al., "A direct theory of viscous fluid flow in pipes II. Flow of incompressible viscous fluid in curved pipes," Philos. Trans. Roy. Soc. London A, Math. Phys. Sci., vol. 342, pp. 543-572, 1993.
45. K. Parker, "An introduction to wave intensity analysis," Med. Bio. Eng. Comput., vol. 47, pp. 175-188, 2009.
46. K. Parker and C. Jones, "Forward and backward running waves in the arteries: analysis using the method of characteristics," J. Biomech. Eng., vol. 112, pp. 322-326, 1990.
47. J. Murgo et al., "Aortic input impedance in normal man: relationship to pressure wave forms," Circulation, vol. 62, pp. 105-116, 1980.
48. C. Vlachopoulos and M. O'Rourke, "Genesis of the normal and abnormal arterial pulse," Curr. Probl. Cardiol., vol. 25, pp. 303-367, 2000.
49. S. Bhatt et al., "Sonographic evaluation of the abdominal aorta," Ultrasound Clinics, vol. 2, pp. 437-453, 2007.
50. M. Revzin and J. Pellerito, "Ultrasound assessment of the mesenteric arteries," Ultrasound Clinics, vol. 2, pp. 477-492, 2007.
51. M. Wood et al., "Spectral doppler signature waveforms in ultrasonography: Areviewof normal and abnormalwaveforms," Ultrasound Quarterly, vol. 26, pp. 83-99, 2010.
52. A. Bollinger et al., "Measurement of foot artery blood pressure by micromanometry in normal subjects and in patients with arterial occlusive disease," Circulation, vol. 53, pp. 506-512, 1976.
53. D. Holdsworth et al., "Characterization of common carotid artery bloodflow waveforms in normal human subjects," Physiological Meas., vol. 20, pp. 219-240, 1999.
54. M. Zhao et al., "Regional cerebral blood flow using quantitative MR angiography," AJNR Amer. J. Neuroradiol., vol. 28, pp. 1470-1473, 2007.
55. N. Westerhof and B. Westerhof, "Wave transmission and reflection of waves. "The myth is in their use"," Artery Res., vol. 6, pp. 1-6, 2012.
56. F. Fowkes et al., "Ankle brachial index combined with Framingham Risk Score to predict cardiovascular events and mortality: A meta-analysis. Ankle Brachial Index collaboration," J. Appl. Math. Phys., vol. 300, pp. 197-208, 2008.
57. M. O'Rourke and J. Hashimoto, "Mechanical factors in arterial aging: A clinical perspective," J. Amer. College Cardiol., vol. 50, pp. 1-13, 2007.
58. Y.-L. Liang et al., "Non-invasive measurements of arterial structure and function: repeatability, interrelationships and trial sample size," Clinical Sci., vol. 95, pp. 669-679, 1998.
59. A. Avolio et al., "Role of pulse pressure amplification in arterial hypertension: experts' opinion and review of the data," Hypertension, vol. 54, pp. 375-383, 2009.
60. W.-C. Yu et al., "Brachial-ankle vs carotid-femoral pulse wave velocity as a determinant of cardiovascular structure and function," J. Human Hypertension, vol. 22, pp. 24-31, 2008.
61. J. Sugawara et al., "Brachial-ankle pulse wave velocity: An index of central arterial stiffness?" J. Human Hypertension, vol. 19, pp. 401-406, 2005.
62. A. Roher et al., "Transcranial Doppler ultrasound blood flow velocity and pulsatility index as systemic indicators for Alzheimer's disease," Alzheimer's Dementia, vol. 7, pp. 445-455, 2011.
63. B. Güngör et al., "Aortic stiffness is increased in patients with premature coronary artery disease: A tissue Doppler imaging study," J. Cardiol., vol. 63, pp. 223-229, 2014.
64. G. de Simone et al., "Stroke volume and cardiac output in normotensive children and adults assessment of relations with body size and impact of overweight," Circulation, vol. 95, pp. 1837-1843, 1997.
65. J. Wang and K. Parker, "Wave propagation in a model of the arterial circulation," J. Biomech., vol. 37, pp. 457-470, 2004.
66. F. Liang and H. Liu, "A closed-loop lumped parameter computational model for human cardiovascular system," JSME Int. J., vol. 48, pp. 484-493, 2005.
67. J. Deweese et al., "Anatomic and hemodynamic correlations in carotid artery stenosis," Stroke, vol. 1, pp. 149-157, 1970.
68. F. Liang et al., "Multi-scale modeling of the human cardiovascular system with applications to aortic valvular and arterial stenoses," Med. Biol. Eng. Comput., vol. 47, pp. 743-755, 2009.
69. -, "Biomechanical characterization of ventricular-arterial coupling during aging: A multi-scale model study," J. Biomech., vol. 42, pp. 692-704, 2009.
70. J. Mynard and P. Nithiarasu, "A 1D arterial blood flow model incorporating ventricular pressure, aortic valve and regional coronary flow using the locally conservative galerkin (LCG) method," Commun. Numerical Methods Eng., vol. 24, pp. 367-417, 2008.
71. L. Müller and E. Toro, "A global multiscale mathematical model for the human circulation with emphasis on the venous system," Int. J. Num. Meth. Biomed. Eng., vol. 30, pp. 681-725, 2014.
72. J. Alastruey et al., "Modelling the circle of Willis to assess the effects of anatomical variations and occlusions on cerebral flows," J. Biomech., vol. 40, pp. 1794-1805, 2007.
73. A. Popel and P. Johnson, "Microcirculation and hemorheology," Annu. Rev. Fluid Mech., vol. 37, pp. 43-69, 2005.
74. D. Amadori et al., "Derivation and analysis of a fluid-dynamical model in thin and long elastic vessels," Netw. Heterogeneous Media, vol. 2, pp. 99-125, 2007.
75. P. Blanco et al., "On the potentialities of 3D-1D coupled models in hemodynamics simulations," J. Biomech., vol. 42, pp. 919-930, 2009.
76. P. Blanco et al., "Assessing the influence of heart rate in local hemodynamics through coupled 3D-1D-0D models," Int. J. Num. Meth. Biomed. Eng., vol. 26, pp. 890-903, 2010.
77. M. Khalifé et al., "Estimating absolute aortic pressure using MRI and a one-dimensional model," J. Biomech., vol. 47, pp. 3390-3399, 2014.