Total Effective Vascular Compliance of a Global Mathematical Model for the Cardiovascular System

In this work, we determined the total effective vascular compliance of a global closed-loop model for the cardiovascular system by performing an infusion test of 500 mL of blood in four minutes. Our mathematical model includes a network of arteries and veins where blood flow is described by means of a one-dimensional nonlinear hyperbolic PDE system and zero-dimensional models for other cardiovascular compartments. Some mathematical modifications were introduced to better capture the physiology of the infusion test: (1) a physiological distribution of vascular compliance and total blood volume was implemented, (2) a nonlinear representation of venous resistances and compliances was introduced, and (3) main regulatory mechanisms triggered by the infusion test where incorporated into the model. By means of presented in silico experiment, we show that effective total vascular compliance is the result of the interaction between the assigned constant physical vascular compliance and the capacity of the cardiovascular system to adapt to new situations via regulatory mechanisms.

Total vascular pressure-volume relationship in conscious rats with chronic heart failure

To define the changes in the venous circulation in chronic left ventricular (LV) failure, we measured the mean circulatory filling pressure (MCFP), blood volume, and effective vascular compliance in conscious rats with heart failure, 3 wk after coronary ligation. Rats with myocardial infarction and LV end-diastolic pressure (EDP) greater than 15 mmHg were considered to have chronic heart failure. Rats with chronic heart failure (n = 11) showed an increase (P less than 0.001) in LV EDP to 24 +/- 2 mmHg compared with 6 +/- 1 mmHg in sham-operated (n = 9) and 7 +/- 1 mmHg in normal (n = 6) rats. In the rats with chronic heart failure the MCFP was increased to 9.9 +/- 0.2 mmHg (P less than 0.001) compared with 7.6 +/- 0.2 mmHg in the sham-operated and 7.7 +/- 0.2 mmHg in the normal rats. Effective vascular compliance was determined from MCFP-blood volume curves. In rats with chronic heart failure, the effective vascular compliance was decreased to 2.40 +/- 0.08 ml X mmHg-1 X kg-1 from 3.34 +/- 0.16 in sham-operated rats and 3.35 +/- 0.22 ml X mmHg-1 X kg-1 in normal rats. The blood volume and the unstressed vascular volume of the rats with chronic heart failure were not statistically different from the sham-operated rats. These results suggest that venous capacitance is decreased in chronic heart failure, due to a decrease in effective vascular compliance with no significant change in unstressed vascular volume. Hexamethonium chloride did not alter the effective vascular compliance of the rats with heart failure.(ABSTRACT TRUNCATED AT 250 WORDS)