Arterial Pressure and Flow Wave Analysis Using Time-Domain 1-D Hemodynamics

Annals of Biomedical Engineering

Volumn 43, Issue 1, 2015, Pages 190-206

  Willemet, Marie ^a   Alastruey, Jordi ^a  

^a ST THOMAS HOSPITAL   (United Kingdom)

Author keywords

Peripheral wave reflections; Pulse wave propagation; Reservoir pressure; Wave intensity analysis; Windkessel function

Indexed keywords

BLOOD PRESSURE; BLOOD VESSELS; NUMERICAL METHODS; WAVE PROPAGATION;

PULSE WAVE PROPAGATION; RESERVOIR PRESSURES; WAVE INTENSITY ANALYSIS; WAVE REFLECTIONS; WINDKESSEL;

TIME DOMAIN ANALYSIS;

ABDOMINAL AORTA ANEURYSM; ARTERIAL PRESSURE; ARTERY; BIOLOGICAL MODEL; HUMAN; PATHOPHYSIOLOGY; PHYSIOLOGY; PULSE WAVE; STENOSIS, OCCLUSION AND OBSTRUCTION; STENT;

AORTIC ANEURYSM, ABDOMINAL; ARTERIAL PRESSURE; ARTERIES; CONSTRICTION, PATHOLOGIC; HUMANS; MODELS, CARDIOVASCULAR; PULSE WAVE ANALYSIS; STENTS;

EID: 84920711412     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-014-1087-4     Document Type: Article

References (42)

1. Aguado-Sierra, J., J. Alastruey, J. J. Wang, N. Hadjiloizou, J. Davies, and K. Parker. 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. 222:403–416 (2008).
2. Alastruey, J. On the mechanics underlying the reservoir-excess separation in systemic arteries and their implications for pulse wave analysis. Cardiovasc. Eng. 10:176–189 (2010).
3. Alastruey, J., A. Hunt, and P. Weinberg. Novel wave intensity analysis of arterial pulse wave propagation accounting for peripheral reflections. Int. J. Numer. Meth. Biomed. Eng. 30:249–279 (2014).
4. Alastruey, J., A. Khir, K. Matthys, P. Segers, S. Sherwin, P. Verdonck, K. Parker, and J. Peiró. 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).
5. Alastruey, J., K. Parker, J. Peiró, and S. Sherwin. Analysing the pattern of pulse waves in arterial networks: a time-domain study. J. Eng. Math. 64:331–351 (2009).
6. Alastruey, J., K. Parker, and S. Sherwin. Arterial pulse wave haemodynamics. In: edited by Anderson. 11th International Conference on Pressure Surges, chap. 7, pp. 401–442. Virtual PiE Led t/a BHR Group (ISBN: 978 1 85598 133 1) (2012).
7. Avolio, A., S. Chen, R. Wang, C. Zhang, M. Li, and M. O’Rourke. Effects of aging on changing arterial compliance and left ventricular load in a northern Chinese urban community. Circulation 68:50–58 (1983).
8. Belz, G. Elastic properties and Windkessel function of the human aorta. Cardiovasc. Drugs Ther. 9:73–83 (1995).
9. Bessems, D., C. Giannopapa, M. Rutten, and F. van de Vosse. Experimental validation of a time-domain-based wave propagation model of blood flow in viscoelastic vessels. J. Biomech. 41:284–291 (2008).
10. Curtis, S., A. Zambanini, J. Mayet, S. M. Thom, R. Foale, K. Parker, and A. Hughes. Reduced systolic wave generation and increased peripheral wave reflection in chronic heart failure. Am. J. Physiol. Heart Circ. Physiol. 293:H557–H562 (2007).
11. Davies, J., P. Lacy, T. Tillin, D. Collier, J. Cruickshank, D. Francis, A. Malaweera, J. Mayet, A. Stanton, B. Williams, K. Parker, S. M. Thom, and A. Hughes. Excess pressure integral predicts cardiovascular events independent of other risk factors in the Conduit Artery Functional Evaluation Substudy of Anglo-Scandinavian Cardiac Outcomes Trial. Hypertension 64:60–68 (2014).
12. Formaggia, L., D. Lamponi, and A. Quarteroni. One-dimensional models for blood flow in arteries. J. Eng. Math. 47:251–276 (2003).
13. Huberts, W., K. V. Canneyt, P. Segers, S. Eloot, J. Tordoir, P. Verdonck, F. van de Vosse, and E. Bosboom. Experimental validation of a pulse wave propagation model for predicting hemodynamics after vascular access surgery. J. Biomech. 45:1684–1691 (2012).
14. Lacroix, V., M. Willemet, E. Marchandise, C. Beauloye, and R. Verhelst. Use of wave intensity analysis during peripheral revascularisation: Lessons from cases study. Artery Res. 7:93–102 (2013).
15. Leguy, C., E. Bosboom, H. Gelderblom, A. Hoeks, and F. van de Vosse. Estimation of distributed arterial mechanical properties using a wave propagation model in a reverse way. Med. Eng. Phys. 32:957–967 (2010).
16. Li, M., J. Beech-Brandt, L. John, P. Hoskins, and W. Easson. Numerical analysis of pulsatile blood flow and vessel wall mechanics in different degrees of stenoses. J. Biomech. 40:3715–3724 (2007).
17. Manisty, C.H., A. Zambanini, K. H. Parker, J. E. Davies, D. P. Francis, J. Mayet, S. A. McG Thom, and A. D. Hughes. on behalf of the Anglo-Scandinavian Cardiac Outcome Trial Investigators: Differences in the magnitude of wave reflection account for differential effects of Amlodipine- versus Atenolol-based regimens on central blood pressure. Hypertension 54:724–730 (2009).
18. Marchandise, E., M. Willemet, and V. Lacroix. A numerical hemodynamic tool for predictive vascular surgery. Med. Eng. Phys. 31:131–144 (2009).
19. Mynard, J., 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. Numer. Methods Eng. 24:367–417 (2008).
20. Mynard, J., D. Penny, M. Davidson, and J. Smolich. The reservoir-wave paradigm introduces error into arterial wave analysis: a computer modeling and in-vivo study. J. Hypertens. 20:734–743 (2012).
21. Nichols, W., and M. O’Rourke. McDonald’s Blood Flow in Arteries: Theoretical, Experimental and Clinical Principles, 5th ed. London: Edward Arnold (2005).
22. Olufsen, M., C. Peskin, W. Kim, E. Pedersen, A. Nadim, and J. Larsen. Numerical simulation and experimental validation of blood flow in arteries with structured-tree outflow conditions. Ann. Biomed. Eng. 28:1281–1299 (2000).
23. O’Rourke, M., T. Yaginuma, and A. Avolio. Physiological and pathological implications of ventricular/vascular coupling. Ann. Biomed. Eng. 12:119–134 (1984).
24. Parker, K. An introduction to wave intensity analysis. Med. Biol. Eng. Comput. 47:175–188 (2009).
25. Parker, K., and C. Jones. Forward and backward running waves in the arteries: analysis using the method of characteristics. J. Biomech. Eng. 112:322–326 (1990).
26. Peiró, J., and A. Veneziani. Reduced models of the cardiovascular system. In: Cardiovascular Mathematics. Modeling and Simulation of the Circulatory System, edited by L. Formaggia, A. Quarteroni, A. Veneziani. Milano: Springer, 2009, pp. 347–394.
27. Reymond, P., F. Merenda, F. Perren, D. Rüfenacht, and N. Stergiopulos. Validation of a one-dimensional model of the systemic arterial tree. Am. J. Physiol. Heart Circ. Physiol. 297:H208–H222 (2009).
28. Reymond, P., N. Westerhof, and N. Stergiopulos. Systolic hypertension mechanisms: effect of global and local proximal aorta stiffening on pulse pressure. Ann. Biomed. Eng. 40(3):742–749 (2012).
29. Saito, M., Y. Ikenaga, M. Matsukawa, Y. Watanabe, T. Asada, and P. Y. Lagrée. One-dimensional model for propagation of a pressure wave in a model of the human arterial network: comparison of theoretical and experimental results. J. Biomech. Eng. 133:121,005 (2011).
30. Segers, P., F. Dubois, D. D. Wachter, and P. Verdonck. Role and relevancy of a cardiovascular simulator. Cardiovasc. Eng. 3:48–56 (1998).
31. Smith, N., A. Pullan, and P. Hunter. An anatomically based model of transient coronary blood flow in the heart. SIAM J. Appl. Math. 62:990–1018 (2001).
32. Steele, B., J. Wan, J. Ku, T. Hughes, and C. Taylor. In vivo validation of a one-dimensional finite-element method for predicting blood flow in cardiovascular bypass grafts. IEEE Trans. Biomed. Eng. 50:649–656 (2003).
33. Stergiopulos, N., Y. Tardy, and J. J. Meister. Nonlinear separation of forward and backward running waves in elastic conduits. J. Biomech. 26:201–209 (1993).
34. Stettler, J., P. Niederer, and M. Anliker. 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. 9:165–175 (1981).
35. Swillens, A., L. Lanoye, J. D. Backer, N. Stergiopulos, P. Verdonck, F. Vermassen, and P. Segers. Effect of an abdominal aortic aneurysm on wave reflection in the aorta. IEEE Trans. Biomed. Eng. 55:1602–1611 (2008).
36. Vermeersch, S.J., E. Rietzschel, M. D. Buyzere, L. V. Bortel, T. Gillebert, P. Verdonck, and P. Segers. The reservoir pressure concept: the 3-element windkessel model revisited? Application to the Asklepios population study. J. Eng. Math. 64:417–428 (2009).
37. Vlachopoulos, C., K. Aznaouridis, and C. Stefanadis. Prediction of cardiovascular events and all-cause mortality with arterial stiffness: a systematic review and meta-analysis. J. Am. Coll. Cardiol. 55:1318–1327 (2010).
38. Wang, J.J., A. O’Brien, N. Shrive, K. Parker, and J. Tyberg. Time-domain representation of ventricular-arterial coupling as a windkessel and wave system. Am. J. Physiol. Heart Circ. Physiol. 284:H1358–H1368 (2003).
39. Westerhof, N., G. Elzinga, and P. Sipkema. An artificial arterial system for pumping hearts. J. Appl. Physiol. 31:776–781 (1971).
40. Willemet, M., V. Lacroix, and E. Marchandise. Validation of a 1D patient-specific model of the arterial hemodynamics in bypassed lower-limbs: simulations against in vivo measurements. Med. Eng. Phys. 35:1573–1583 (2013).
41. Xiao, N., J. Alastruey, and C. Figueroa. A systematic comparison between 1-D and 3-D hemodynamics in compliant arterial models. Int. J. Numer. Methods Biomed. Eng. 30:204–231 (2014).
42. Zambanini, A., S. Cunningham, K. Parker, A. Khir, S. Thom, and A. Hughes. Wave-energy patterns in carotid, brachial, and radial arteries: a noninvasive approach using wave-intensity analysis. Am. J. Physiol. Heart Circ. Physiol. 289:H270–H276 (2005).