Hemodynamics

Comprehensive Physiology

Volumn 6, Issue 2, 2016, Pages 975-1003

  Secomb, Timothy W ^a  

^a UNIVERSITY OF ARIZONA COLLEGE OF MEDICINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL; BIOLOGICAL MODEL; BLOOD VESSEL; HEMODYNAMICS; HUMAN; PHYSIOLOGY;

ANIMALS; BLOOD VESSELS; HEMODYNAMICS; HUMANS; MODELS, CARDIOVASCULAR;

EID: 85015586916     PISSN: None     EISSN: 20404603     Source Type: Journal    
DOI: 10.1002/cphy.c150038     Document Type: Article

References (124)

1. Alastruey J, Khir AW, Matthys KS, Segers P, Sherwin SJ, Verdonck PR, Parker KH, Peiro J. Pulse wave propagation in a model human arterial network: Assessment of 1-D visco-elastic simulations against in vitro measurements. J Biomech 44: 2250-2258, 2011
2. Asmar R, RudnichiA, Blacher J, London GM, Safar ME. Pulse pressure and aortic pulse wave aremarkers of cardiovascular risk in hypertensive populations. Am J Hypertens 14: 91-97, 2001
3. Avolio AP, Van Bortel LM, Boutouyrie P, Cockcroft JR, McEniery CM, Protogerou AD, Roman MJ, Safar ME, Segers P, Smulyan H. Role of pulse pressure amplification in arterial hypertension: Experts' opinion and review of the data. Hypertension 54: 375-383, 2009
4. Batchelor GK. An Introduction to Fluid Mechanics. Cambridge: Cambridge University Press, 1967
5. Bertram CD, Butcher KS. Possible sources of discrepancy between sphygmomanometer cuff pressure and blood pressure quantified in a collapsible-tube analogue. J Biomech Eng 114: 68-77, 1992
6. Bovendeerd PH, Borsje P, Arts T, van de Vosse FN. Dependence of intramyocardial pressure and coronary flow on ventricular loading and contractility: A model study. Ann Biomed Eng 34: 1833-1845, 2006
7. Burton AC. Physiology and Biophysics of the Circulation. Chicago: Year Book Medical Publishers, 1972
8. Buschmann I, Pries A, Styp-Rekowska B, Hillmeister P, Loufrani L, Henrion D, Shi Y, Duelsner A, Hoefer I, Gatzke N, Wang H, Lehmann K, Ulm L, Ritter Z, Hauff P, Hlushchuk R, Djonov V, van Veen T, le Noble F. Pulsatile shear and Gja5 modulate arterial identity and remodeling events during flow-driven arteriogenesis. Development 137: 2187-2196, 2010
9. Canic S, Tambaca J, Guidoboni G, Mikelic A, Hartley CJ, Rosenstrauch D. Modeling viscoelastic behavior of arterial walls and their interaction with pulsatile blood flow. SIAM Journal on Applied Mathematics 67: 164-193, 2006
10. Cardamone L, Valentin A, Eberth JF, Humphrey JD. Origin of axial prestretch and residual stress in arteries. Biomech Model Mechanobiol 8: 431-446, 2009
11. Carlson BE, Arciero JC, Secomb TW. Theoretical model of blood flow autoregulation: Roles of myogenic, shear-dependent, and metabolic responses. Am J Physiol Heart Circ Physiol 295: H1572-H1579, 2008
12. Caro CG, Pedley TJ, Schroter RC, Seed WA. The Mechanics of the Circulation. Oxford: Oxford University Press, 1978
13. Chien S. Shear dependence of effective cell volume as a determinant of blood viscosity. Science 168: 977-979, 1970
14. Chien S, Usami S, Taylor HM, Lundberg JL, Gregersen MI. Effects of hematocrit and plasma proteins on human blood rheology at low shear rates. J Appl Physiol 21: 81-87, 1966
15. Coppola G, Caro C. Arterial geometry, flow pattern, wall shear and mass transport: Potential physiological significance. J R Soc Interface 6: 519-528, 2009
16. Davies JE, Alastruey J, Francis DP, Hadjiloizou N, Whinnett ZI, Manisty CH, Aguado-Sierra J, Willson K, Foale RA, Malik IS, Hughes AD, Parker KH, Mayet J. Attenuation of wave reflection by wave entrapment creates a 'horizon effect' in the human aorta. Hypertension 60: 778-785, 2012
17. Dobrin PB. Vascular mechanics. Compr Physiol (Suppl 8): 65-102, 2011
18. Ellwein LM, Pope SR, Xie A, Batzel JJ, Kelley CT, Olufsen MS. Patient-specific modeling of cardiovascular and respiratory dynamics during hypercapnia. Math Biosci 241: 56-74, 2013
19. Euler L. Principia pro motu sanguinis per arterias determinando. In: Fuss PH, Fuss N, editors. Opera posthuma mathematica et physica anno 1844 detecta, Vol. 2. Petropoli: Apund Eggers et Socios, 1862, pp. 814-823
20. Fåhraeus R. Die Strömungsverhältnisse und die Verteilung der Blutzellen im Gefäßsystem. Zur Frage der Bedeutung der intravascul ären Erythrocytenaggregation. Klin Wochenschr 7: 100-106, 1928
21. Fåhraeus R, Lindqvist T. The viscosity of the blood in narrow capillary tubes. Am J Physiol 96: 562-568, 1931
22. Fedosov DA, Caswell B, Popel AS, Karniadakis GE. Blood flow and cell-free layer in microvessels. Microcirculation 17: 615-628, 2010
23. Fischer TM, Stöhr-Liesen M, Schmid-Schönbein H. The red cell as a fluid droplet: Tank tread-like motion of the human erythrocyte membrane in shear flow. Science 202: 894-896, 1978
24. Fishman AP, Richards DW. Circulation of the Blood: Men and Ideas. New York: Oxford University Press, 1964
25. Frank O. Die Grundform des arteriellen Pulses. Erste Abhandlung. Mathematische Analyse. Zeitschrift für Biologie 37: 483-526, 1899
26. FronekK, ZweifachBW. Microvascular pressure distribution in skeletal muscle and the effect of vasodilation. Am J Physiol 228: 791-796, 1975
27. Fung YC. Biomechanics. Mechanical Properties of Living Tissues. Second Edition. New York: Springer, 1993
28. Fung YC. Biomechanics: Circulation. Second edition. New York: Springer-Verlag, 1997
29. Fung YC, Liu SQ. Strain distribution in small blood vessels with zerostress state taken into consideration. Am J Physiol 262: H544-H552, 1992
30. Gore RW. Pressures in cat mesenteric arterioles and capillaries during changes in systemic arterial blood pressure. Circ Res 34: 581-591, 1974
31. Grandchamp X, Coupier G, Srivastav A, Minetti C, Podgorski T. Lift and down-gradient shear-induced diffusion in red blood cell suspensions. Phys Rev Lett 110: 2013
32. Greenwald SE, Carter AC, Berry CL. Effect of age on the in vitro reflection coefficient of the aortoiliac bifurcation in humans. Circulation 82: 114-123, 1990
33. Greve JM, Les AS, Tang BT, DraneyBlomme MT, Wilson NM, Dalman RL, Pelc NJ, Taylor CA. Allometric scaling of wall shear stress from mice to humans: Quantification using cine phase-contrast MRI and computational fluid dynamics. Am J Physiol Heart Circ Physiol 291: H1700-H1708, 2006
34. Hagenbach E. Uber die Bestimmung der Zähigkeit einer Flüssigkeit durch den Ausfluss aus Röhren. Poggendorf's Annalen der Physik und Chemie 108: 385-426, 1860
35. Hales S. Statical essays: containing haemosticks, reprinted 1964, No. 22, History of Medicine series, Library of New York Academy of Medicine. New York: Hafner, 1733
36. Halpern D, Secomb TW. The squeezing of red blood cells through capillaries with near-minimal diameters. J Fluid Mech 203: 381-400, 1989
37. Hariprasad DS, Secomb TW. Two-dimensional simulation of red blood cell motion near a wall under a lateral force. Physical Review E 90: 053014, 2014
38. Harvey W. Exercitatio Anatomica de Motu Cordis et Sanguinis in Animalibus. 1628. English translation with annotations, C. D. Leake. 4th edition. Springfield, Ill.: Thomas, 1958
39. Holzapfel GA, Gasser TC, Ogden RW. A new constitutive framework for arterial wall mechanics and a comparative study of material models. J Elast 61: 1-48, 2000
40. Humphrey JD, Delange SL. An Introduction to Biomechanics. Solids and Fluids, Analysis and Design. New York: Springer, 2004
41. Johnson PC. The myogenic response. In: Bohr DF, Somlyo AP, Sparks HV, Jr., editors. Handbook of Physiology, Section 2, The Cardiovascular System, Vol. II: Vascular SmoothMuscle. Bethesda, MD: American Physiological Society, 1980, pp. 409-442
42. Jones CJ, Parker KH, Hughes R, Sheridan DJ. Nonlinearity of human arterial pulse wave transmission. J Biomech Eng 114: 10-14, 1992
43. Kilner PJ, Yang GZ, Firmin DN. Morphodynamics of flow through sinuous curvatures of the heart. Biorheology 39: 409-417, 2002
44. Kilner PJ, YangGZ, MohiaddinRH, Firmin DN, LongmoreDB. Helical and retrograde secondary flow patterns in the aortic arch studied by three-directional magnetic resonance velocity mapping. Circulation 88: 2235-2247, 1993
45. Kim S, Popel AS, Intaglietta M, Johnson PC. Effect of erythrocyte aggregation at normal human levels on functional capillary density in rat spinotrapezius muscle. Am J Physiol Heart Circ Physiol 290: H941-H947, 2006
46. Koller A, Kaley G. Endothelial regulation of wall shear stress and blood flow in skeletal muscle microcirculation. Am J Physiol 260: H862-H868, 1991
47. Lakatta EG, Levy D. Arterial and cardiac aging: major shareholders in cardiovascular disease enterprises: Part I: aging arteries: A 'set up' for vascular disease. Circulation 107: 139-146, 2003
48. Langille BL. Arterial remodeling: Relation to hemodynamics. Can J Physiol Pharmacol 74: 834-841, 1996
49. Langille BL, O'Donnell F. Reductions in arterial diameter produced by chronic decreases in blood flow are endothelium-dependent. Science 231: 405-407, 1986
50. Laurent S, Cockcroft J, Van BL, Boutouyrie P, Giannattasio C, Hayoz D, Pannier B, Vlachopoulos C, Wilkinson I, Struijker-Boudier H, European Network for Non-Invasive Investigation of Large Arteries. Expert consensus document on arterial stiffness: Methodological issues and clinical applications. Eur Heart J 27: 2588-2605, 2006
51. Levick JR. An Introduction to Cardiovascular Physiology. Fourth Edition. London: Hodder Arnold, 2003
52. Lindert J, Werner J, Redlin M, Kuppe H, Habazettl H, Pries AR. OPS imaging of human microcirculation: A short technical report. J Vasc Res 39: 368-372, 2002
53. Lipowsky HH, Kovalcheck S, Zweifach BW. The distribution of blood rheological parameters in the mirovasculature of the cat mesentery. Circ Res 43: 738-749, 1978
54. Lipowsky HH, Usami S, Chien S. In vivo measurements of 'apparent viscosity' and microvessel hematocrit in the mesentery of the cat. Microvasc Res 19: 297-319, 1980
55. Lipowsky HH, Zweifach BW. Network analysis of microcirculation of cat mesentery. Microvasc Res 7: 73-83, 1974
56. London GM, Guerin AP. Influence of arterial pulse and reflected waves on blood pressure and cardiac function. Am Heart J 138: 220-224, 1999
57. Love AEH. A Treatise on the Mathematical Theory of Elasticity. 4th ed. New York: Dover, 1944
58. Luchsinger PC, Snell RE, Patel DJ, Fry DL. Instantaneous pressure distribution along the human aorta. Circ Res 15: 503-510, 1964
59. Malek AM, Alper SL, Izumo S. Hemodynamic shear stress and its role in atherosclerosis. JAMA 282: 2035-2042, 1999
60. Mall FP. Die Blut und Lymphwege imDünndarm des Hundes. Abhandlungen der Mathematisch-Physischen Classe der Königlich Sachsischen Gessellschaft der Wissenschaften 14: 151-200, 1888
61. Malpighi M. De Pulmonibus. Observations anatomicae bologna. 1661. Translated by J. Young. Proc R Soc Med 23: 1-11, 1929
62. Martini P, Pierach A, Schreyer E. Die Strömung des Blutes in engen Gefä??en. Eine Abweichung vom Poiseuille'schen Gesetz. Dt Arch Klin Med 169: 212-222, 1930
63. McDonald DA. The relation of pulsatile pressure to flow in arteries. J Physiol 127: 533-552, 1955
64. McDonald DA. Blood Flow in Arteries. 2nd ed. London: Edward Arnold, 1974
65. Milkiewicz M, Brown MD, Egginton S, Hudlicka O. Association between shear stress, angiogenesis, and VEGF in skeletal muscles in vivo. Microcirculation 8: 229-241, 2001
66. Milnor WR. Hemodynamics. 2nd ed. Baltimore:Williams andWilkins, 1989
67. Mitchell GF, Guo CY, Benjamin EJ, Larson MG, Keyes MJ, Vita JA, Vasan RS, Levy D. Cross-sectional correlates of increased aortic stiffness in the community: The Framingham Heart Study. Circulation 115: 2628-2636, 2007
68. Motomiya M, Karino T. Flow patterns in the human carotid artery bifurcation. Stroke 15: 50-56, 1984
69. Mulvany MJ. Small artery remodelling in hypertension. Basic Clin Pharmacol Toxicol 110: 49-55, 2012
70. Mynard JP, Smolich JJ. Wave potential and the one-dimensional windkessel as a wave-based paradigm of diastolic arterial hemodynamics. Am J Physiol Heart Circ Physiol 307: H307-H318, 2014
71. Nichols WW, O'Rourke MF. McDonald's Blood Flow in Arteries. Theoretical, experimental and clinical principles. Fourth Edition. London: Arnold, 1998
72. Parker KH. A brief history of arterial wave mechanics. Med Biol Eng Comput 47: 111-118, 2009
73. Pedley TJ. The Fluid Mechanics of Large Blood Vessels. Cambridge: Cambridge University Press, 1980
74. Poiseuille JLM. Recherches expérimentales sur le mouvement des liquides dans les tubes de très-petits diamêtres. Mémoires presentés par divers savants à l'Académie Royale des Sciences de l'Institut de France IX: 433-544, 1846
75. Pranay P, Henriquez-Rivera RG, Graham MD. Depletion layer formation in suspensions of elastic capsules in Newtonian and viscoelastic fluids. Physics of Fluids 24: 2012
76. Pries AR, Ley K, Claassen M, Gaehtgens P. Red cell distribution at microvascular bifurcations. Microvasc Res 38: 81-101, 1989
77. Pries AR, Neuhaus D, Gaehtgens P. Blood viscosity in tube flow: Dependence on diameter and hematocrit. Am J Physiol 263: H1770-H1778, 1992
78. Pries AR, Reglin B, Secomb TW. Remodeling of blood vessels: Responses of diameter and wall thickness to hemodynamic and metabolic stimuli. Hypertension 46: 725-731, 2005
79. Pries AR, Secomb TW. Microvascular blood viscosity in vivo and the endothelial surface layer. Am J Physiol Heart Circ Physiol 289: H2657-H2664, 2005
80. Pries AR, Secomb TW. Blood flowinmicrovascular networks. In: Tuma RF, Duran WN, Ley K, editors. Handbook of Physiology: Microcirculation. 2nd ed. San Diego: Academic Press, 2008, pp. 3-36
81. Pries AR, Secomb TW. Origins of heterogeneity in tissue perfusion and metabolism. Cardiovasc Res 81: 328-335, 2009
82. Pries AR, Secomb TW, Gaehtgens P. Design principles of vascular beds. Circ Res 77: 1017-1023, 1995
83. Pries AR, Secomb TW, Gaehtgens P. Structure and hemodynamics of microvascular networks: Heterogeneity and correlations. Am J Physiol 269: H1713-H1722, 1995
84. Pries AR, Secomb TW, Gaehtgens P. Structural autoregulation of terminal vascular beds: Vascular adaptation and development of hypertension. Hypertension 33: 153-161, 1999
85. Pries AR, Secomb TW, Gaehtgens P. The endothelial surface layer. Pflugers Arch 440: 653-666, 2000
86. Pries AR, Secomb TW, Gaehtgens P, Gross JF. Blood flowinmicrovascular networks. Experiments and simulation. Circ Res 67: 826-834, 1990
87. Pries AR, Secomb TW, Gessner T, SperandioMB, Gross JF, Gaehtgens P. Resistance to blood flow in microvessels in vivo. Circ Res 75: 904-915, 1994
88. Recek C. Conception of the venous hemodynamics in the lower extremity. Angiology 57: 556-563, 2006
89. Rhodin JAG. Architecture of the vessel wall. Compr Physiol (Suppl 7): 1-31, 2011
90. Richardson DR, Zweifach BW. Pressure relationships in the macro-and microcirculation of the mesentery. Microvasc Res 2: 474-488, 1970
91. Rodbard S. Vascular caliber. Cardiology 60: 4-49, 1975
92. Safar ME, Levy BI, Struijker-Boudier H. Current perspectives on arterial stiffness and pulse pressure in hypertension and cardiovascular diseases. Circulation 107: 2864-2869, 2003
93. Sagawa K. Baroreflex control of systemic arterial pressure and vascular bed. Compr Physiol (Suppl 8): 453-496, 2011
94. Sato M, Hayashi K, Niimi H, Moritake K, Okumura A, Handa H. Axial mechanical properties of arterial walls and their anisotropy. Med Biol Eng Comput 17: 170-176, 1979
95. Schiffrin EL. Vascular remodeling in hypertension: Mechanisms and treatment. Hypertension 59: 367-374, 2012
96. Secomb TW. Mechanics of blood flow in the microcirculation. Symp Soc Exp Biol 49: 305-321, 1995
97. Secomb TW. Mechanics of red blood cells and blood flow in narrow tubes. In: Pozrikidis C, editors. Modeling and Simulation of Capsules and Biological Cells. Boca Raton, Florida, Chapman & Hall/CRC, 2003, pp. 163-196
98. Secomb TW, Pries AR. Blood viscosity in microvessels: Experiment and theory. Comptes Rendus Physique 14: 470-478, 2013
99. Segers P, Mynard J, Taelman L, Vermeersch S, Swillens A. Wave reflection: Myth or reality? Artery Research 6: 7-11, 2012
100. Sharman JE, Davies JE, Jenkins C, Marwick TH. Augmentation index, left ventricular contractility, and wave reflection. Hypertension 54: 1099-1105, 2009
101. Skalak R. Wave propagation in blood flow. In: Fung YC, editors. Biomechanics Symposium. NewYork: American Society of Mechanical Engineers, 1966, pp. 20-46
102. Skalak R, Keller SR, Secomb TW. Mechanics of blood flow. J Biomech Eng 103: 102-115, 1981
103. Stranden E. Edema in venous insufficiency. Phlebolymphology 18: 3-15, 2011
104. Strony J, Beaudoin A, Brands D, Adelman B. Analysis of shear stress and hemodynamic factors in a model of coronary artery stenosis and thrombosis. Am J Physiol 265: H1787-H1796, 1993
105. Sutera SP, Seshadri V, Croce PA, Hochmuth RM. Capillary blood flow. II. Deformable model cells in tube flow. Microvasc Res 2: 420-433, 1970
106. Sutera SP, Skalak R. The history of Poiseuille's law. Ann Rev Fluid Mech 25: 1-19, 1993
107. Tanaka TT, Fung YC. Elastic and inelastic properties of the canine aorta and their variation along the aortic tree. J Biomech 7: 357-370, 1974
108. Trendelenburg F. Über die Unterverbindung der Vena saphena magna bei Unterschenkelvarizen. Beitr Klin Chir 7: 195-210, 1891
109. Tyberg JV, Davies JE, Wang Z, Whitelaw WA, Flewitt JA, Shrive NG, Francis DP, Hughes AD, Parker KH, Wang JJ. Wave intensity analysis and the development of the reservoir-wave approach. Med Biol Eng Comput 47: 221-232, 2009
110. Ursino M. Interaction between carotid baroregulation and the pulsating heart: A mathematical model. Am J Physiol 275: H1733-H1747, 1998
111. VaishnavRN, Vossoughi J. Residual stress and strain in aortic segments. J Biomech 20: 235-239, 1987
112. van de Vosse FN, Stergiopulos N. Pulse wave propagation in the arterial tree. Ann Rev Fluid Mech 43: 467-499, 2011
113. Vand V. Viscosity of solutions and suspensions. I. Theory. J Phys Colloid Chem 52: 277-299, 1948
114. Weizsacker HW, Pinto JG. Isotropy and anisotropy of the arterial wall. J Biomech 21: 477-487, 1988
115. West JB. Respiratory Physiology-The Essentials. Baltimore:Williams and Wilkins, 1974
116. Westerhof N, Boer C, Lamberts RR, Sipkema P. Cross-talk between cardiac muscle and coronary vasculature. Physiol Rev 86: 1263-1308, 2006
117. Westerhof N, Lankhaar JW, Westerhof BE. The arterial Windkessel. Med Biol Eng Comput 47: 131-141, 2009
118. Wexler L, Bergel DH, Gabe IT, Makin GS, Mills CJ. Velocity of blood flow in normal human venae cavae. Circ Res 23: 349-359, 1968
119. Womersley JR. Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known. J Physiol 127: 553-563, 1955
120. Wootton DM, Ku DN. Fluid mechanics of vascular systems, diseases, and thrombosis. Annu Rev Biomed Eng 1: 299-329, 1999
121. Young T. Hydraulic investigations, subservient to an intended Croonian lecture on the motion of the blood. Phil Trans Roy Soc 98: 164-186, 1808
122. Young T. On the functions of the heart and arteries. The Croonian lecture. Phil Trans Roy Soc 99: 1-31, 1809
123. Zarins CK, Giddens DP, Bharadvaj BK, Sottiurai VS, Mabon RF, Glagov S. Carotid bifurcation atherosclerosis. Quantitative correlation of plaque localization with flow velocity profiles and wall shear stress. Circ Res 53: 502-514, 1983
124. Zweifach BW. Quantitative studies of microcirculatory structure and function. II. Direct measurement of capillary pressure in splanchnic mesenteric vessels. Circ Res 34: 858-866, 1974