Waveform Post Sample Clauses

Waveform PostΒ processing Aortic Doppler flow velocity and aortic/ carotid pressure waveforms were stored and analysed in Matlab (2012b, Mathworks, USA) for wave intensity, wave decomposition and pulse wave analyses. The first systolic shoulder of the aortic/carotid pressure waveform was identified as the first local minimum of the first derivative of the pressure curve (and confirmed by visual inspection) to determine P1, P2 and AP, the difference between P2 and P1. Augmentation Index (AIx) was calculated as the percentage proportion of AP to PP. Figure 5: Aortic pressure and flow velocity waveforms and the components of central pulse pressure. P1 is the first shoulder of the waveform above diastolic pressure and AP is the difference between P2 and P1. Pressure wave decomposition into forward and backward waves was performed using the equations derived by Euler in 1775, based on the conservation of mass and momentum. The aorta was considered as an elastic tube, blood as an incompressible and inviscid fluid and the flow was assumed to be unidimentional. These equations were solved using the method of Xxxxxx 172 and the following formulas were obtained for FPW and BPW: 1 𝑑𝑃 π‘‘π‘ˆ πΉπ‘ƒπ‘Š = 2 ∫ ( 𝑑𝑑 + πœŒπ‘. 𝑑𝑑 ) 𝑑𝑑 1 𝑑𝑃 π‘‘π‘ˆ π΅π‘ƒπ‘Š = 2 ∫ ( 𝑑𝑑 βˆ’ πœŒπ‘. 𝑑𝑑 ) 𝑑𝑑 Where P and U are the pressure and the flow velocity respectively, T is the foot to foot duration of a pulse, ρ is the density of blood and c the speed of travel of waves equal to the local pulse wave velocity (PWV). The wave speed c was calculated using the single point method described by Davies et al using the following formula.173 𝑝 βˆ‘ π‘‘π‘ˆ2 Where P and U are the pressure and flow velocity respectively. This method of wave separation produces the same results as that performed in the frequency domain.174 Separation of the pressure wave allows the individual contributions of the FPW and BPW to each of the components (e.g. P1, P2 and AP) of the pressure pulse to be determined. Since the BPW is usually regarded as the result of β€œreflection” of the FPW. The ratio between the peak amplitude of FPW: BPW is often used to obtain a reflection coefficient. This allowed the contribution of the forward wave and reflected wave to AP to be assessed and hence to allow the actions of vasodilator drugs in reducing AP to be examined. Figure 6: Aortic pressure waveform decomposed into forward and backward pressure components. Wave intensity analysis of aortic pressure Wave intensity is the product of the first derivativ...
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