Recently, there has been renewed interest in estimating total arterial
compliance. Because it cannot be measured directly, a lumped model is
usually applied to derive compliance from aortic pressure and flow. T
he archetypical model, the classical two-element windkessel, assumes 1
) system linearity and 2) infinite pulse wave velocity. To generalize
this model, investigators have added more elements and have incorporat
ed nonlinearities. A different approach is taken here. It is assumed t
hat the arterial system 1) is linear and 2) has finite pulse wave velo
city. In doing so, the windkessel is generalized by describing complia
nce as a complex function of frequency that relates input pressure to
volume stored. By applying transmission theory, this relationship is s
hown to be a function of heart rate, peripheral resistance, and pulse
wave reflection. Because this pressure-volume relationship is generall
y not equal to total arterial compliance, it is termed apparent compli
ance.'' This new concept forms the natural counterpart to the establis
hed concept of apparent pulse wave velocity.