Wave intensity analysis and the development of the reservoir-wave approach

Medical and Biological Engineering and Computing

Volumn 47, Issue 2, 2009, Pages 221-232

  Tyberg, John V ^a   Davies, Justin E ^b   Wang, Zhibin ^c   Whitelaw, William A ^d   Flewitt, Jacqueline A ^a   Shrive, Nigel G ^a   Francis, Darryl P ^b   Hughes, Alun D ^b   Parker, Kim H ^e   Wang, Jiun Jr ^a  

^a UNIVERSITY OF CALGARY   (Canada)

^b ST MARY S HOSPITAL   (United Kingdom)

^c QINGDAO UNIVERSITY MEDICAL COLLEGE   (China)

^d UNIVERSITY OF CALGARY   (Canada)

^e IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Aorta; Frank; Pressure; Reservoir; Wave; Wave intensity analysis; Windkessel

Indexed keywords

AORTA; FRANK; RESERVOIR; WAVE INTENSITY ANALYSIS; WINDKESSEL;

BLOOD VESSELS; FREQUENCY DOMAIN ANALYSIS; MEDICAL IMAGING; TIME DOMAIN ANALYSIS; WAVE EFFECTS;

BLOOD PRESSURE;

AORTA; BLOOD FLOW VELOCITY; BLOOD PRESSURE; HEMODYNAMICS; HUMANS; MODELS, CARDIOVASCULAR; PULSATILE FLOW; VASCULAR RESISTANCE;

EID: 60649120516     PISSN: 01400118     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11517-008-0430-z     Document Type: Review

References (28)

1. Alexander RS (1953) The genesis of the aortic standing wave. Circ Res 1:145-151
2. Arts T, Kruger RTI, van Greven W, Lambregts JAC, Reneman RS (1979) Propagation velocity and reflection of pressure waves in the canine coronary artery. Am J Physiol Heart Circ Physiol 237:H469-H474
3. Bers DM (2001) Excitation-contraction coupling and cardiac contractile force. Kluwer Academic Press, Dordrecht
4. Davies JE, Manisty CH, Hadjiloizou N, Aguado-Sierra J, Malik IS, Foale RA, Hughes AD, Mayet J (2008) A unifying explanation of the aortic pressure waveform in humans. J Am Coll Cardiol 49:397A-398A.2007
5. Davies JE, Whinnett ZI, Francis DP, Manisty CH, Aguado-Sierra J, Willson K, Foale RA, Malik IS, Hughes AD, Parker KH, Mayet J (2006) Evidence of a dominant backward-propagating "suction" wave responsible for diastolic coronary filling in humans, attenuated in left ventricular hypertrophy. Circulation 113:1768-1778. doi: 10.1161/ CIRCULATIONAHA.105.603050
6. Davis MJ, Ferrer PN, Gore RW (1986) Vascular anatomy and hydrostatic pressure profile in the hamster cheek pouch. Am J Physiol 250:H291-H303
7. Flewitt JA, Hobson TN, Wang J Jr, Johnston CR, Shrive NG, Belenkie I, Parker KH, Tyberg JV (2007) Wave intensity analysis of left ventricular filling: Application of windkessel theory. Am J Physiol Heart Circ Physiol 292:H2817-H2823. doi: 10.1152/ajpheart.00936.2006
8. Frank O (1899) Die Grundform des Arteriellen Pulses. Erste Abhandlung. Mathematische Analyse. Z Biol 37:483-526
9. Khir AW, O'Brien A, Gibbs JSB, Parker KH (2001) Determination of wave speed and wave separation in the arteries. J Biomech 34:1145-1155. doi: 10.1016/S0021-9290(01)00076-8
10. Lighthill MJ (1978) Waves in fluids. Cambridge University Press, Cambridge
11. McDonald DA (1955) The relation of pulsatile pressure to flow in arteries. J Physiol 127:533-552
12. Murgo JP, Westerhof N, Giolma JP, Altobelli SA (1980) Aortic input impedance in normal man: Relationship to pressure wave forms. Circulation 62:105-116
13. Nichols WW, O'Rourke MF (2005) McDonald's blood flow in arteries. Oxford University Press, New York
14. Parker KH (2008) An introduction to wave intensity analysis. Med Biol Eng Comput
15. Parker KH, Jones CJH (1990) Forward and backward running waves in the arteries: Analysis using the method of characteristics. J Biomech Eng 112:322-326. doi: 10.1115/1.2891191
16. Parker KH, Jones CJH, Dawson JR, Gibson DG (1988) What stops the flow of blood from the heart? Heart Vessels 4:241-245. doi: 10.1007/BF02058593
17. Peterson LH (1954) The dynamics of pulsatile blood flow. Circ Res 2:127-139
18. Remington JW, O'Brien LJ (1970) Construction of aortic flow pulse from pressure pulse. Am J Physiol 218:437-447
19. Sagawa K, Lie RK, Schaefer J (1990) Translation of Otto Frank's paper "Die Grundform des Arteriellen Pulses" Zeitschrift fur Biologie 37:483-526 (1899). J Mol Cell Cardiol 22:253-277. doi: 10.1016/ 0022-2828(90)91459-K
20. Sun Y-H, Anderson TJ, Parker KH, Tyberg JV (2000) Wave-intensity analysis: A new approach to coronary dynamics. J Appl Physiol 89:1636-1644
21. Tyberg JV, Shrive NG, Bouwmeester JC, Parker KH, Wang JJ (2008) The reservoir-wave paradigm: Potential implications for hypertension. Curr Hypertens Rep 4:203-212. doi: 10.2174/157340208785132572
22. Wang JJ, Flewitt JA, Shrive NG, Parker KH, Tyberg JV (2006) Systemic venous circulation. Waves propagating on a windkessel: Relation of arterial and venous windkessels to systemic vascular resistance. Am J Physiol Heart Circ Physiol 290:H154-H162. doi: 10.1152/ ajpheart.00494.2005
23. Wang JJ, O'Brien AB, Shrive NG, Parker KH, Tyberg JV (2003) Time-domain representation of ventricular-arterial coupling as a windkessel and wave system. Am J Physiol Heart Circ Physiol 284:H1358-H1368
24. Wang JJ, Shrive NG, Parker KH, Tyberg JV (2008) Effects of vasoconstriction and vasodilatation on LV and segmental circulatory energetics. Am J Physiol Heart Circ Physiol 294:H1216-H1225. doi: 10.1152/ajpheart.00983.2007
25. Wang Z, Jalali F, Sun YH, Wang JJ, Parker KH, Tyberg JV (2005) Assessment of left ventricular diastolic suction in dogs using wave-intensity analysis. Am J Physiol Heart Circ Physiol 288:H1641-H1651. doi: 10.1152/ajpheart.00181.2004
26. Westerhof N, Elzinga G, Sipkema P (1971) An artificial arterial system for pumping hearts. J Appl Physiol 31:776-781
27. Westerhof N, Sipkema P, van den Bos GC, Elzinga G (1972) Forward and backward waves in the arterial system. Cardiovasc Res 6:648-656. doi: 10.1093/cvr/6.6.648
28. Womersley JR (1955) 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