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An analysis of the aortic pressure curve during diastole
Authors:Julia T. Apter
Affiliation:(1) Committee on Mathematical Biology, The University of Chicago, Chicago, USA
Abstract:Aortic diastolic pressure curves calculated on the basis of a constant peripheral resistance do not predict humps like those found in actual clinical records. The present study considers the form of the aortic pressure curve to be expected during diastole if blood flowed out of the aorta against a peripheral resistance (R) that changed in response to baroreceptor stimulation. Assumptions are (1) baroreceptor stimulation is provided by arterial pressures above a threshold pressureP *; (2) pressures aboveP * occur during late systole and early diastole; (3) peripheral resistance starts to respond a given time interval Δ afterP reachesP * in systole; (4) Δ is less than the duration of time betweenP * occurring during early diastole and the end of the cardiac cycle. The present analysis predicts humps in the diastolic pressure curve, the humps occurring at times when the peripheral resistance time course alters. Initially,R is considered constant at its maximal valueR 0, then it changes in response to pressures during systole (assumed to have a parabolic time course), then changes in response to pressures during early diastole (assumed to have an exponential time course), and then changes in response to pressures later in diastole. The humps so predicted occur at times consistent with the location of humps in clinical records. What is more, this analysis predicts no humps in association with an unresponsive peripheral resistance as in essential hypertension, in agreement with clinical findings.
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