To analyse the dynamic behavior of the whole cardiovascular system, the transient responses of the system parameters to sudden hemodynamic change have been formulated as developed from the theory of the circulatory equilibrium by Guyton. The time constant
T in the transient venous pressure change has been given by
T=
Cv/ (
GVR+
GCO), where
Cv is the systemic venous compliance, and
GVR and
GCO are the gradient (conductances) of the venous return curve and the cardiac output curve, respectively.
The
in-vivo measurement of these parameters was carried out in the acute and chronic experiments in dogs by the technique of right heart bypass using an artificial pump. A transient change in the central venous pressure was induced by exact stepwise changes in the cardiac output function of the artificial pump. The time course of the consequent venous pressure was almost a monoexponential function of time which allowed accurate measurement of the time constant
T. The gradient of the venous return curve
GVR was calculated from the differences in cardiac output (Δ
CO) and venous pressure (Δ
Pv) between the two equilibrating conditions before and after the transient change by
GVR=-Δ
CO/Δ
Pv. Together with the known value of the gradient of cardiac output function of the artificial pump
GCO, the systemic venous compliance
Cv was estimated from the above equation. The mean values of
T and
Cv measured under anesthetized states were 3.9± 0.69 (SD) s and 1.79±0.13 (SD) ml/mmHg/kg, and those measured under conscious states were 4.1± 0.84 (SD) s and 1.60±0.22 (SD) ml/mmHg/kg, respectively. The results obtained from the conscious states showed significant decreases in the values of venous compliance against those obtained from the anesthetized conditions (
p<0.05). The C, values measured by this transient method were comparable with those measured with the steady method previously reported by other investigators.
It is concluded that the time constant of the venous pressure change is a good index to represent the transient response of the circulatory system and that the transient method presented here is a reliable technique to estimate systemic venous compliance in conscious animals.
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