Lumped parameter peripheral circulation model from Stergiopulos et al. (1999) Am J Physiol 276: H81-H88.

Description

The model simulates a peripheral circulation using lumped 
parameters for arterial resistance, inertance, and compliance, 
and peripheral arterial network resistance. The single-
beat human aortic flow function in Figure 4A, Type C of 
Stergiopulos et al. (1999) was scanned and reproduced 
digitally. One-hundred copies were concatenated into an 
single data file used as the driving flow in the model. 
Constants used to fit the aortic pressure waveform in Figure
 4B, Type C were used to parameterize the model. The model 
produces an aortic pressure waveform fit comparable to 
Stergiopulos et al. (1999) Figure 4D, Type C. 

PARAMETERS:

 CODEWORD|SYMBOL|    NAME    |      UNITS       |          DESCRIPTION             
-----------------------------------------------------------------------------------

 C        C      Compliance   ml/mmHg            Total arterial compliance 
 L               Inertance    mmHg*sec^2/ml      Arterial inertance
 Pout     P      Pressure     mmHg               Downstream blood pressure
 Rc       R      Resistance   mmHg*sec/ml        Characteristic resistance
 Rp       R      Resistance   mmHg*sec/ml        Peripheral resistance
-----------------------------------------------------------------------------------


VARIABLES:

 CODEWORD|SYMBOL|    NAME    |      UNITS       |          DESCRIPTION             
-----------------------------------------------------------------------------------

 Fin      F      Flow         ml/sec             Aortic flow signal (Fig. 4A, Type C
                                                    in Stergiopulos et al. 1999)
 Pdata    P      Pressure     mmHg               Recorded aortic pressure (Fig. 4B,
                                                    Type C in Stergiopulos et al. 1999)
 FRc      F      Flow         ml/sec             Flow through characteristic resistor
 FL       F      Flow         ml/sec             Flow through inductor
 FC       F      Flow         ml/sec             Radial flow in periphery
 FRp      F      Flow         ml/sec             Forward flow in periphery
 Pao      P      Pressure     mmHg               Aortic pressure
 Pp       P      Pressure     mmHg               Peripheral (arterial) pressure
 Vp       V      Volume       ml                 Peripheral blood volume
-----------------------------------------------------------------------------------

 EXAMPLE PARAMETER SET:
 t.min = 0
 t.max = 25
 t.delta = 0.01
 Rc = 0.045
 C = 2.53
 L = 0.0054
 Rp = 0.64924
 tau = 30
 Pout = 0
 FL__init = 0
 Vp__init = 300
 Fin = Flow
 Pdata = Pressure
 solver.ode_which = CVode

Equations

The equations for this model may be viewed by running the JSim model applet and clicking on the Source tab at the bottom left of JSim's Run Time graphical user interface. The equations are written in JSim's Mathematical Modeling Language (MML). See the Introduction to MML and the MML Reference Manual. Additional documentation for MML can be found by using the search option at the Physiome home page.