Research Article

Stochastic Modeling and Dynamic Analysis of the Cardiovascular System with Rotary Left Ventricular Assist Devices

Table 1

Model parameters for the cardiovascular-LVAD system.

Circuit parametersValuePhysiological Meaning

Resistance (mmHgs/ml)
Rs1.0000Systemic Vascular Resistance
RM0.0050Mitral Valve Resistance
RA0.0010Aortic Valve Resistance
Rc0.0398Characteristic Resistance
Ri0.0677Inlet Pump Resistance
Ro0.0677Outlet Pump Resistance
Rp0.17070Pump Resistance
RkSee (1)Suction Resistance 
α = -3.5 s/ml and = 1 mmHg
Compliance (ml/mmHg)
C(t)Time-varyingLeft Ventricular Compliance
CR4.4000Left Atrial Compliance
Cs1.3300Systemic Compliance
CA0.0800Aortic Compliance
Inertances (mmHgs2/ml)
Ls0.0005Inertance of Blood in Aorta
Li0.0127Inlet Inertance
Lo0.0127Outlet Inertance
Lp0.02177Pump Inertance
Valves (no units)
DM/Mitral Valve
DA/Aortic Valve