Wave intensity amplification and attenuation in non-linear flow: Implications for the calculation of local reflection coefficients

Journal of Biomechanics

Volumn 41, Issue 16, 2008, Pages 3314-3321

  Mynard, Jonathan ^a,b   Penny, Daniel J ^a,b,c   Smolich, Joseph J ^a,b  

^a MURDOCH CHILDREN'S RESEARCH INSTITUTE   (Australia)

^b UNIVERSITY OF MELBOURNE   (Australia)

^c ROYAL CHILDREN'S HOSPITAL   (Australia)

Author keywords

Reflection coefficient; Wave intensity; Wave reflection

Indexed keywords

AMPLIFICATION; COMPUTER SYSTEMS; ERRORS; LINEARIZATION; METHOD OF MOMENTS; TIME DOMAIN ANALYSIS;

COMPUTER MODELS; DEGREE OF NON LINEARITIES; DOMAIN METHODS; ELASTIC NON LINEARITIES; HAEMODYNAMICS; LINEAR FLOWS; PEAK INTENSITIES; PULSE AMPLITUDES; REFLECTED WAVES; REFLECTION COEFFICIENT; REFLECTION COEFFICIENTS; SINGLE VESSELS; WAVE INTENSITIES; WAVE INTENSITY; WAVE INTENSITY ANALYSES; WAVE REFLECTION; WAVE REFLECTIONS; WAVE SPEEDS;

REFLECTION;

ARTICLE; COMPRESSION; COMPUTER MODEL; FLOW MEASUREMENT; LOCAL REFLECTION COEFFICIENT; MATHEMATICAL COMPUTING; PRIORITY JOURNAL; VELOCITY;

ANIMALS; ARTERIES; BIOLOGICAL CLOCKS; BLOOD FLOW VELOCITY; BLOOD PRESSURE; COMPUTER SIMULATION; ENERGY TRANSFER; HUMANS; MODELS, CARDIOVASCULAR; NONLINEAR DYNAMICS; OSCILLOMETRY; PULSATILE FLOW;

EID: 56549106805     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2008.10.002     Document Type: Article

References (39)

1. Aguado-Sierra, J., Parker, K.H., Davies, J.E., Francis, D., Hughes, A.D., Mayet, J., 2006. Arterial pulse wave velocity in coronary arteries. Engineering in Medicine and Biology Society 28th Annual International Conference of the IEEE. Lyon, France, pp. 867-870.
2. Anliker M., Rockwell R.L., and Ogden E. Nonlinear analysis of flow pulses and shock waves in arteries, part II: parametric study related to clinical problems. Zeitschrift fur Angewandte Mathematik und Physik (ZAMP) 22 3 (1971) 563-581
3. Bleasdale R.A., Mumford C.E., Campbell R.I., Fraser A.G., Jones C.J., and Frenneaux M.P. Wave intensity analysis from the common carotid artery: a new noninvasive index of cerebral vasomotor tone. Heart & Vessels 18 4 (2003) 202-206
4. Bodley W.E. The non-linearities of arterial blood flow. Physics in Medicine and Biology 16 4 (1971) 663-672
5. Brin K., and Yin F. Effect of nitroprusside on wave reflections in patients with heart failure. Annals of Biomedical Engineering 12 2 (1984) 135-150
6. Davies J.E., Whinnett Z.I., Francis D.P., Manisty C.H., Aguado-Sierra J., Willson K., Foale R.A., Malik I.S., Hughes A.D., Parker K.H., and 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 (2006) 1768-1778
7. Duan B., and Zamir M. Pressure peaking in pulsatile flow through arterial tree structures. Annals of Biomedical Engineering 23 6 (1995) 794-803
8. Fujimoto S., Mizuno R., Saito Y., and Nakamura S. Clinical application of wave intensity for the treatment of essential hypertension. Heart & Vessels 19 1 (2004) 19-22
9. Greenwald S.E., Carter A.C., and Berry C.L. Effect of age on the in vitro reflection coefficient of the aortoiliac bifurcation in humans. Circulation 82 1 (1990) 114-123
10. Hobson T.N., Flewitt J.A., Belenkie I., and Tyberg J.V. Wave intensity analysis of left atrial mechanics and energetics in anesthetized dogs. American Journal of Physiology-Heart & Circulatory Physiology 292 3 (2007) H1533-H1540
11. Hollander E.H., Wang J.J., Dobson G.M., Parker K.H., and Tyberg J.V. Negative wave reflections in pulmonary arteries. American Journal of Physiology-Heart & Circulatory Physiology 281 2 (2001) H895-H902
12. Jones C.J., and Sugawara M. "Wavefronts" in the aorta-implications for the mechanisms of left ventricular ejection and aortic valve closure. Cardiovascular Research 27 11 (1993) 1902-1905
13. Jones C.J., Parker K.H., Hughes R., and Sheridan D.J. Nonlinearity of human arterial pulse wave transmission. Journal of Biomechanical Engineering 114 1 (1992) 10-14
14. Jones C.J., Sugawara M., Kondoh Y., Uchida K., and Parker K.H. Compression and expansion wavefront travel in canine ascending aortic flow: wave intensity analysis. Heart & Vessels 16 3 (2002) 91-98
15. Khir A.W., and Parker K.H. Measurements of wave speed and reflected waves in elastic tubes and bifurcations. Journal of Biomechanics 35 6 (2002) 775-783
16. Khir A.W., and Parker K.H. Wave intensity in the ascending aorta: effects of arterial occlusion. Journal of Biomechanics 38 4 (2005) 647-655
17. Khir A.W., Henein M.Y., Koh T., Das S.K., Parker K.H., and Gibson D.G. Arterial waves in humans during peripheral vascular surgery. Clinical Science 101 6 (2001) 749-757
18. Koh T.W., Pepper J.R., DeSouza A.C., and Parker K.H. Analysis of wave reflections in the arterial system using wave intensity: a novel method for predicting the timing and amplitude of reflected waves. Heart & Vessels 13 3 (1998) 103-113
19. Kohler W., and Papanicolaou G.C. Power reflection from a lossy one-dimensional random medium. SIAM Journal on Applied Mathematics 30 2 (1976) 263-268
20. Laogun A.A., and Gosling R.G. In vivo arterial compliance in man. Clinical Physics and Physiological Measurement 3 3 (1982) 201-212
21. Latham R.D., Westerhof N., Sipkema P., Rubal B.J., Reuderink P., and Murgo J.P. Regional wave travel and reflections along the human aorta: a study with six simultaneous micromanometric pressures. Circulation 72 6 (1985) 1257-1269
22. Mynard J.P., and 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 24 5 (2008) 367-417
23. Nichols W.W., Denardo S.J., Wilkinson I.B., McEniery C.M., Cockcroft J., and O'Rourke M.F. Effects of arterial stiffness, pulse wave velocity, and wave reflections on the central aortic pressure waveform. Journal of Clinical Hypertension 10 4 (2008) 295-303
24. Niki K., Sugawara M., Chang D., Harada A., Okada T., Sakai R., Uchida K., Tanaka R., and Mumford C.E. A new noninvasive measurement system for wave intensity: evaluation of carotid arterial wave intensity and reproducibility. Heart & Vessels 17 1 (2002) 12-21
25. O'Rourke M.F., and Kelly R.P. Wave reflection in the systemic circulation and its implications in ventricular function. Journal of Hypertension 11 4 (1993) 327-337
26. Parker K.H., and Jones C.J. Forward and backward running waves in the arteries: analysis using the method of characteristics. Journal of Biomechanical Engineering 112 3 (1990) 322-326
27. Parker K.H., Jones C.J., Dawson J.R., and Gibson D.G. What stops the flow of blood from the heart?. Heart & Vessels 4 4 (1988) 241-245
28. Penny D.J., Mynard J.P., and Smolich J.J. Aortic wave intensity analysis of ventricular-vascular interaction during incremental dobutamine infusion in adult sheep. American Journal of Physiology-Heart & Circulatory Physiology 294 1 (2008) H481-H489
29. Pythoud F., Stergiopulos N., and Meister J.J. Separation of arterial pressure waves into their forward and backward running components. Journal of Biomechanical Engineering 118 3 (1996) 295-301
30. Raichel D.R. The Science and Applications of Acoustics (2006), Springer Science and Business Media Inc., New York, USA
31. Raines J.K., Jaffrin M.Y., and Shapiro A.H. A computer simulation of arterial dynamics in the human leg. Journal of Biomechanics 7 1 (1974) 77-91
32. Segers P., De Backer J., Devos D., Rabben S.I., Gillebert T.C., Van Bortel L.M., De Sutter J., De Paepe A., and Verdonck P.R. Aortic reflection coefficients and their association with global indexes of wave reflection in healthy controls and patients with Marfan's syndrome. American Journal of Physiology-Heart & Circulatory Physiology 290 6 (2006) H2385-H2392
33. Shoucri R., and Shoucri M. Application of the method of characteristics for the study of shock waves in models of blood flow in the aorta. Cardiovascular Engineering 7 1 (2007) 1-6
34. Smolich J.J., Mynard J.P., and Penny D.J. Simultaneous pulmonary trunk and pulmonary arterial wave intensity analysis in fetal lambs: evidence for cyclical, midsystolic pulmonary vasoconstriction. American Journal of Physiology-Regulatory, Integrative & Comparative Physiology 294 5 (2008) R1554-R1562
35. Stergiopulos N., Tardy Y., and Meister J.J. Nonlinear separation of forward and backward running waves in elastic conduits. Journal of Biomechanics 26 2 (1993) 201-209
36. van der Heijden-Spek J.J., Staessen J.A., Fagard R.H., Hoeks A.P., Boudier H.A.S., and Van Bortel L.M. Effect of age on brachial artery wall properties differs from the aorta and is gender dependent: a population study. Hypertension 35 2 (2000) 637-642
37. Weber T., Auer J., Lamm G., O'Rourke M.F., and Eber B. Arterial stiffness, central blood pressures, and wave reflections in cardiomyopathy-implications for risk stratification. Journal of Cardiac Failure 13 5 (2007) 353-359
38. Westerhof N., Sipkema P., van den Bos G.C., and Elzinga G. Forward and backward waves in the arterial system. Cardiovascular Research 6 6 (1972) 648-656
39. Zambanini A., Cunningham S.L., Parker K.H., Khir A.W., Mc G.T.S.A., and Hughes A.D. Wave-energy patterns in carotid, brachial, and radial arteries: a noninvasive approach using wave-intensity analysis. American Journal of Physiology-Heart & Circulatory Physiology 289 1 (2005)