On the mechanics underlying the reservoir-excess separation in systemic arteries and their implications for pulse wave analysis

Cardiovascular Engineering

Volumn 10, Issue 4, 2010, Pages 176-189

  Alastruey, Jordi ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Arterial haemodynamics; Conduit arteries; One dimensional distributed model; Pulse wave analysis; Pulse wave propagation; Reservoir excess separation; Time domain formulation; Well matched bifurcations; Windkessel pressure

Indexed keywords

ARTERIAL PRESSURE; ARTERY BLOOD FLOW; ARTERY COMPLIANCE; ARTERY RESISTANCE; ARTICLE; CONTROLLED STUDY; DIASTOLE; HEART LEFT VENTRICLE EJECTION FRACTION; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PULSE WAVE; SYSTOLE; WAVEFORM; YOUNG MODULUS;

ARTERIES; BLOOD FLOW VELOCITY; BLOOD PRESSURE; HUMANS; MODELS, CARDIOVASCULAR; PULSATILE FLOW;

EID: 79952707332     PISSN: 15678822     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10558-010-9109-9     Document Type: Article

References (31)

1. Aguado-Sierra J, Alastruey J, Wang J-J, Hadjiloizou N, Davies J, Parker K. Separation of the reservoir and wave pressure and velocity from measurements at an arbitrary location in arteries. Proc Inst Mech Eng Part H J Eng Med. 2008;222:403-16.
2. Alastruey J. Numerical modelling of pulse wave propagation in the cardiovascular system: development, validation and clinical applications. Ph.D. thesis, Imperial College London, University of London, UK 2006.
3. Alastruey J, Parker K, Peiró J, Sherwin S. Lumped parameter outflow models for 1-D blood flow simulations: effect on pulse waves and parameter estimation. Commun Comput Phys. 2008;4:317-36.
4. Alastruey J, Parker K, Peiró J, Sherwin S. Analysing the pattern of pulse waves in arterial networks: a time-domain study. J Eng Math. 2009;64:331-51.
5. Caro C, Pedley T, Schroter R, Seed W. The mechanics of the circulation. Oxford: Oxford University Press; 1978.
6. Davies J, Whinnett Z, Francis D, Willson K, Foale R, Malik I, Hughes A, Parker K, Mayet J. Use of simultaneous pressure and velocity measurements to estimate arterial wave speed at a single site in humans. Am J Physiol Heart Circ Physiol. 2006;290:H878-85.
7. Davies J, Hadjiloizou N, Leibovich D, Malaweera A, Alastruey J, Whinnett Z, Manisty C, Francis D, Aguado-Sierra J, Foale R, Malik I, Parker K, Mayet J, Hughes A. Importance of the aortic reservoir in determining the shape of the arterial pressure waveform - The forgotten lessons of Frank. Artery Res. 2007;1:40-5. (Pubitemid 47332395)
8. Davies J, Baksi J, Francis D, Hadjiloizou N, Whinnett Z, Manisty C, Aguado-Sierra J, Foale R, Malik I, Tyberg J, Parker K, Mayet J, Hughes A. The arterial reservoir pressure increases with aging and is the major determinant of the aortic augmentation index. Am J Physiol Heart Circ Physiol. 2010;298:H580-6.
9. Frank O. Die Grundform des arteriellen Pulses. Erste Abhandlung- Mathematische Analyse Z Biol. 1899;37:483-526.
10. (Translated by Sagawa K, Lie RK, Schaefer J. J Mol Cell Cardiol. 1990;22:253-77).
11. Hughes A, Parker K. Forward and backward waves in the arterial system: impedance or wave intensity analysis?. Med Bio Eng Comput. 2009;47:207-10.
12. Khir A, O'Brien A, Gibbs J, Parker K. Determination of wave speed and wave separation in the arteries. J Biomech. 2001;34:1145-55. (Pubitemid 32744664)
13. Matthys K, Alastruey J, Peiró J, Khir A, Segers P, Verdonck P, Parker K, Sherwin S. Pulse wave propagation in a model human arterial network: assessment of 1-D numerical simulations against in vitro measurements. J Biomech. 2007;40:3476-86. (Pubitemid 47632606)
14. Milnor W. Hemodynamics. Baltimore: Williams and Wilkins; 1989.
15. Olufsen M, Peskin C, Kim W, Pedersen E, Nadim A, Larsen J. Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions. Annals Biomed Eng. 2000;28:1281-99. (Pubitemid 32872598)
16. Papageorgiou G, Jones N. Arterial system configuration and wave reflection. J Biomed Eng. 1987;9:299-301.
17. Parker K, Jones C. Forward and backward running waves in the arteries: analysis using the method of characteristics. J Biomech Eng. 1990;112:322-6. (Pubitemid 20378633)
18. Parker K. An introduction to wave intensity analysis. Med Bio Eng Comput. 2009;47:175-88.
19. Quarteroni A, Formaggia L. Mathematical modelling and numerical simulation of the cardiovascular system. In Ayache N, editors. Modelling of living systems. Amsterdam: Elsevier; 2004.
20. Roy C. The elastic properties of the arterial wall. J Physiol (Lond). 1880-1882;3:125-59.
21. Steele B, Wan J, Ku J, Hughes T, Taylor C. In vivo validation of a one-dimensional finite-element method for predicting blood flow in cardiovascular bypass grafts. IEEE Trans Biomed Eng. 2003;50:649-56.
22. Stergiopulos N, Young D, Rogge T. Computer simulation of arterial flow with applications to arterial and aortic stenoses. J Biomech. 1992;25:1477-88.
23. Tyberg J, Shrive N, Bouwmeester J, Parker K, Wang J-J. The reservoir-wave paradigm: potential implications for hypertension. Curr Hypertens Rep. 2008;4:203-12.
24. Tyberg J, Davies J, Wang Z, Whitelaw W, Flewitt J, Shrive N, Francis D, Hughes A, Parker K, Wang J-J. Wave intensity analysis and the development of the reservoir-wave approach. Med Biol Eng Comput. 2009;47:221-32.
25. Čanić S, Kim E. Mathematical analysis of the quasilinear effects in a hyperbolic model of blood flow through compliant axi-symmetric vessels. Math Meth Appl Sci. 2003;26:1161-86.
26. Vermeersch SJ, Rietzschel E, Buyzere MD, Bortel LV, Gillebert T, Verdonck P, Segers P. The reservoir pressure concept: the 3- element windkessel model revisited? Application to the Asklepios population study. J Eng Math. 2009;64:417-428
27. Wang J-J, O'Brien A, Shrive N, Parker K, Tyberg J. Time-domain representation of ventricular-arterial coupling as a windkessel and wave system. Am J Physiol Heart Circ Physiol. 2003;284:H1358-68.
28. Westerhof N, Bosman F, de Vries C, Noordergraaf A. Analog studies of the human systemic arterial tree. J Biomech. 1969;2:121-43.
29. Westerhof N, Elzinga G, Sipkema P. An artificial arterial system for pumping hearts. J Appl Physiol. 1971;31:776-81.
30. Westerhof N, Sipkema P, Bos GVD, Elzinga G. Forward and backward waves in the arterial system. Cardiov Res. 1972;6:648-56.
31. Zhang H, Li JK-J. A novel wave reflection model of the human arterial system. Cardiovasc Eng. 2009;9:39-48.