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Kim H. Parker added textbf_C10_This_summary_repeats__.tex
almost 9 years ago
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\textbf{[C10].} This summary repeats many of the errors discussed previously. In summary: $P_{res}$ is a wave. $P_{res} \ne 2 P^b$ during systole. $P_{exc}$ is only 'almost reflection-less' during systole and is, in fact the backward wave intensity based on excess pressure during systole is very similar in magnitude to the backward wave intensity based on the measured pressure.
\textbf{[C11].} The reservoir pressure shares some characteristics with Frank's Windkessel model (e.g. conservation of mass in the whole arterial system) but cannot be considered to be a lumped model since Pr is seen as a propagating waveform. Probably the best theoretical description of the reservoir pressure is in Parker et al. Med. Biol. Eng. Comp. (2012) where we defined
\[
P(x,t) = P_{res}(t - \tau(x)) + P_{exc}(x,t)
\]
where $\tau(x)$ is a delay time related to the wave propagation time from the aortic root to location $x$. Using a variation method we showed that the reservoir pressure defined in this way gives the minimum hydraulic work that the ventricle must do to produce a given volume flow rate $Q_{LV}(t)$.
