Wave intensity10/30/2022 ![]() ![]() Riemann GFB (1859) Üeber die Fortzflanzung ebener Luftwellen von endlicher Schwingungsweite. Pythoud F, Stergiopulos N, Meister J-J (1996) Separation of arterial pressure waves into their forward and backward running components. Press WH, Flannery BP, Teukolsky SA, Vetterling WT (2002) Numerical recipes in C++ : the art of scientific computing, 2nd edn. Peterson LH, Shepard EW (1955) Symposium on applied physiology in modern surgery: some relationships of blood pressure to cardiovascular system. Parker KH, Jones CJH (1990) Forward and backward running waves in the arteries: analysis using the method of characteristics. Papageorgiou GL, Jones NB, Redding VJ, Hudson N (1990) The area ratio of normal arterial junctions and its implications in pulse wave. Ohte N, Narita H, Sugawara M, Niki K, Lkada T, Harada A, Hayano J, Kimura G (2003) Clincal usefulness of carotid arterial wave intensity in assessing left ventricular systolic and early diastolic performance. Nichols WW, O’Rourke MF (2005) McDonald’s blood flow in arteries: theoretical, experimental and clinical principles, 5th edn. McDonald DA (1974) Blood flow in arteries, 2nd edn. Matthys KS, Alastruey J, Peiró J, Khir AW, Segers P, Verdonck PR, Parker KH, Sherwin SJ (2007) Pulse wave propagation in a model human arterial network: assessment of 1-D numerical simulations against in vitro measurements. Am J Physiol Heart Circ Physiol 295(2):H482–H490 Kolyva C, Spaan JAE, Pick JJ, Siebes M (2008) “Windkesselness” of coronary arteries hampers assessment of human coronary wave speed by single-point technique. Apund Eggers et Socios, pp 814–823įranke VE, Parker KH, Wee LY, Fisk NM, Sherwin SJ (2003) Time domain computational modelling of 1D arterial networks in monochorionic placentas. In: Fuss PH, Fuss Petropoli N (eds) Opera posthuma mathematica et physica anno 1844 detecta, vol 2. #Wave intensity proProc R Soc Lond B 93:298–306Įuler L (1775) Principia pro motu sanguinis per arterias determinando. ![]() ISSN: 0954-4119īramwell JC, Hill AV (1922) The velocity of the pulse wave in man. J Eng Med (Proc Inst Mech Eng Part H) 222:403–416. ![]() Finally, the reservoir-wave hypothesis that the arterial and venous pressure can be conveniently thought of as the sum of a reservoir pressure arising from the total compliance of the vessels (the Windkessel effect) and the pressure associated with the waves is discussed.Īguado-Sierra J, Alastruey J, Wang J-J, Hadjiloizou N, Davies J, Parker KH (2007) Separation of the reservoir and wave pressure and velocity from measurements at an arbitrary location in arteries. Given c, it is possible to separate the waveforms into their forward and backward components. Two methods, the PU-loop and the sum of squares, are given for calculating the wave speed c from simultaneous measurements of P and U at a single location. It is positive for forward waves and negative for backward waves, providing a convenient tool for quantifying the timing, direction and magnitude of waves. The net wave intensity d Pd U is the flux of energy per unit area carried by the wavefronts. The measured waveforms of pressure P and velocity U are described as the summation of successive wavefronts that propagate forward and backward through the vessels with magnitudes d P ± and d U ±. ![]() It is based on the method of characteristics solution of the 1-D equations derived from the conservation of mass and momentum in elastic vessels. Wave intensity analysis applies methods first used to study gas dynamics to cardiovascular haemodynamics. ![]()
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