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FMITest.mo
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FMITest.mo
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within ;
package FMITest
model HemodynamicsSmith_shallow
extends Cardiovascular.Icons.Runnable_Shallow;
import Physiolibrary.Hydraulic.Components.*;
ElasticVesselElastance aorta(
ZeroPressureVolume=0,
volume_start=0.0001241,
Elastance=92165766.41999) annotation (Placement(transformation(extent=
{{-130,-30},{-110,-10}})));
ElasticVesselElastance venaCava(
ZeroPressureVolume=0,
volume_start=0.0002952,
Elastance(displayUnit="Pa/m3") = 786602.0857485)
annotation (Placement(transformation(extent={{-130,24},{-110,44}})));
IdealValveResistance aorticValve(Pknee=0, _Ron(displayUnit=
"(mmHg.s)/ml") = 2399802.97347)
annotation (Placement(transformation(extent={{-68,-30},{-88,-10}})));
Resistor Rsys(Resistance(displayUnit="(mmHg.s)/ml") = 145054757.50752)
annotation (Placement(transformation(
extent={{-10,-10},{10,10}},
rotation=90,
origin={-120,6})));
IdealValveResistance tricuspidValve(Pknee=0, _Ron(displayUnit=
"(mmHg.s)/ml") = 3159740.5817355)
annotation (Placement(transformation(extent={{-62,24},{-42,44}})));
Inertia Lav(I(displayUnit="mmHg.s2/ml") = 16250.665802014,
volumeFlow_start(displayUnit="m3/s") = -1.4e-8) annotation (
Placement(transformation(
extent={{-10,-10},{10,10}},
rotation=180,
origin={-44,-20})));
Inertia Lpv(I(displayUnit="mmHg.s2/ml") = 19822.372560862,
volumeFlow_start(displayUnit="m3/s") = -1.9e-9)
annotation (Placement(transformation(extent={{32,24},{52,44}})));
IdealValveResistance pulmonaryValve(Pknee=0, _Ron(displayUnit=
"(mmHg.s)/ml") = 733273.1307825)
annotation (Placement(transformation(extent={{62,24},{82,44}})));
ElasticVesselElastance pulmonaryArteries(
ZeroPressureVolume=0,
useExternalPressureInput=true,
volume_start=3.904e-05,
Elastance(displayUnit="Pa/m3") = 49195960.956135)
annotation (Placement(transformation(extent={{102,24},{122,44}})));
Resistor Rpul(Resistance(displayUnit="(mmHg.s)/ml") = 20691634.526808)
annotation (Placement(transformation(
extent={{-10,-10},{10,10}},
rotation=270,
origin={114,4})));
ElasticVesselElastance pulmonaryVeins(
ZeroPressureVolume=0,
useExternalPressureInput=true,
volume_start=0.0008269,
Elastance(displayUnit="Pa/m3") = 973253.4281295)
annotation (Placement(transformation(extent={{104,-30},{124,-10}})));
IdealValveResistance mitralValve(Pknee=0, _Ron(displayUnit=
"(mmHg.s)/ml") = 2106493.721157)
annotation (Placement(transformation(extent={{52,-30},{32,-10}})));
Inertia Ltc(I(displayUnit="mmHg.s2/ml") = 10678.18997523,
volumeFlow_start(displayUnit="m3/s") = 0.0001372)
annotation (Placement(transformation(extent={{-88,24},{-68,44}})));
Inertia Lmt(I(displayUnit="mmHg.s2/ml") = 10261.557514558,
volumeFlow_start(displayUnit="m3/s") = 0.0001141) annotation (
Placement(transformation(
extent={{-10,-10},{10,10}},
rotation=180,
origin={70,-20})));
Physiolibrary.Types.Constants.FrequencyConst HR(k=1.3333333333333)
annotation (Placement(transformation(extent={{-44,0},{-28,14}})));
Physiolibrary.Types.Constants.PressureConst IntraThoracicPressure(k=-533.28954966)
annotation (Placement(transformation(extent={{38,12},{50,20}})));
VentricularInteraction_flat ventricularInteraction_flat(
lambdas(displayUnit="1/m3") = 435000,
lambdarv(displayUnit="1/m3") = 23000,
Essept(displayUnit="mmHg/ml") = 6499999676.0309,
V0peri=0.0002,
Pi0sept=148.00118226939,
Pi0rv=28.757638965416,
Pi0lv=16.038683206025,
Pi0peri=66.701190423724,
Esrv=77993596.637775,
Eslv=383941811.27772,
lambdalv=33000,
lambdaperi=30000)
annotation (Placement(transformation(extent={{-18,-12},{20,28}})));
equation
connect(aorta.q_in, Rsys.q_in) annotation (Line(
points={{-120,-20},{-120,-4}},
color={0,0,0},
thickness=1,
smooth=Smooth.None));
connect(Rsys.q_out, venaCava.q_in) annotation (Line(
points={{-120,16},{-120,34}},
color={0,0,0},
thickness=1,
smooth=Smooth.None));
connect(pulmonaryValve.q_out, pulmonaryArteries.q_in) annotation (Line(
points={{82,34},{112,34}},
color={0,0,0},
thickness=1,
smooth=Smooth.None));
connect(pulmonaryArteries.q_in, Rpul.q_in) annotation (Line(
points={{112,34},{114,34},{114,14}},
color={0,0,0},
thickness=1,
smooth=Smooth.None));
connect(Rpul.q_out, pulmonaryVeins.q_in) annotation (Line(
points={{114,-6},{114,-20}},
color={0,0,0},
thickness=1,
smooth=Smooth.None));
connect(aorticValve.q_out, aorta.q_in) annotation (Line(
points={{-88,-20},{-120,-20}},
color={0,0,0},
thickness=1,
smooth=Smooth.None));
connect(venaCava.q_in, Ltc.q_in) annotation (Line(
points={{-120,34},{-88,34}},
color={0,0,0},
thickness=1,
smooth=Smooth.None));
connect(pulmonaryVeins.q_in, Lmt.q_in) annotation (Line(
points={{114,-20},{80,-20}},
color={0,0,0},
thickness=1,
smooth=Smooth.None));
connect(Lav.q_out, aorticValve.q_in) annotation (Line(
points={{-54,-20},{-68,-20}},
color={0,0,0},
thickness=1,
smooth=Smooth.None));
connect(Ltc.q_out, tricuspidValve.q_in) annotation (Line(
points={{-68,34},{-62,34}},
color={0,0,0},
thickness=1,
smooth=Smooth.None));
connect(Lpv.q_out, pulmonaryValve.q_in) annotation (Line(
points={{52,34},{62,34}},
color={0,0,0},
thickness=1,
smooth=Smooth.None));
connect(mitralValve.q_in, Lmt.q_out) annotation (Line(
points={{52,-20},{60,-20}},
color={0,0,0},
thickness=1,
smooth=Smooth.None));
connect(tricuspidValve.q_out, ventricularInteraction_flat.rvflow)
annotation (Line(
points={{-42,34},{0.62,34},{0.62,28}},
color={0,0,0},
thickness=1,
smooth=Smooth.None));
connect(Lpv.q_in, ventricularInteraction_flat.rvflow) annotation (Line(
points={{32,34},{0.62,34},{0.62,28}},
color={0,0,0},
thickness=1,
smooth=Smooth.None));
connect(ventricularInteraction_flat.lvflow, Lav.q_in) annotation (Line(
points={{1,-12},{2,-12},{2,-20},{-34,-20}},
color={0,0,0},
thickness=1,
smooth=Smooth.None));
connect(mitralValve.q_out, Lav.q_in) annotation (Line(
points={{32,-20},{-34,-20}},
color={0,0,0},
thickness=1,
smooth=Smooth.None));
connect(HR.y, ventricularInteraction_flat.HR) annotation (Line(
points={{-26,7},{-22,7},{-22,8},{-14.2,8}},
color={0,0,127},
smooth=Smooth.None));
connect(IntraThoracicPressure.y, ventricularInteraction_flat.Pth)
annotation (Line(
points={{51.5,16},{58,16},{58,8},{16.58,8}},
color={0,190,190},
smooth=Smooth.None));
connect(pulmonaryArteries.externalPressure, IntraThoracicPressure.y)
annotation (Line(
points={{120,42},{120,46},{86,46},{86,16},{51.5,16}},
color={0,190,190},
smooth=Smooth.None));
connect(pulmonaryVeins.externalPressure, IntraThoracicPressure.y)
annotation (Line(
points={{122,-12},{122,16},{51.5,16}},
color={0,190,190},
smooth=Smooth.None));
annotation (
Diagram(coordinateSystem(preserveAspectRatio=false, extent={{-160,-100},
{160,100}}), graphics={Rectangle(extent={{-158,62},{-82,-34}},
lineColor={28,108,200}),Rectangle(extent={{-84,54},{92,-46}},
lineColor={28,108,200})}),
Icon(coordinateSystem(extent={{-160,-100},{160,100}})),
Documentation(info="<html>
<p>Cardiovascular model implemented per description of Smith et al. Parametrized to the imlpementation of Brian Carlson, UNI MICH</p>
<p>[12] B. W. Smith, J. G. Chase, R. I. Nokes, G. M. Shaw, G. Wake, Minimal Haemodynamic System Model Including Ventricular Interaction and Valve Dynamics., Medical Engineering & Physics 26 (2) (2004) 131–139. doi:10.1016/j.medengphy.2003.10.001.</p>
<p>[13] CellML implementation at URL: http://models.cellml.org/exposure/9d046663ba5cac5c8a61ac146183614b/smith_chase_nokes_shaw_wake_2004.cellml/view</p>
</html>"),
experiment(StopTime=5));
end HemodynamicsSmith_shallow;
model VentricularInteraction_flat
import Physiolibrary.Types.*;
Volume Vsept(start=0.000002), Vperi;
parameter Volume V0sept=0.000002, V0peri;
Pressure Psept, Pperi;
parameter Pressure Pi0sept, Pi0rv, Pi0lv, Pi0peri
"peak isovolumic pressure";
parameter HydraulicElastance Essept, Esrv, Eslv
"elastance of systole";
parameter Real A=1, B=80, CC=60/B/2;
Time tm;
discrete Time HP "heart period";
discrete Time t0 "time of beginning of the cardiac cycle";
discrete Time ts "duration of systole";
parameter Cardiovascular.Model.Smith2004.Parts.HydraulicLambda lambdas;
parameter Cardiovascular.Model.Smith2004.Parts.HydraulicLambda lambdarv;
parameter Cardiovascular.Model.Smith2004.Parts.HydraulicLambda lambdalv;
parameter Cardiovascular.Model.Smith2004.Parts.HydraulicLambda lambdaperi;
Physiolibrary.Hydraulic.Interfaces.HydraulicPort_a rvflow annotation (
Placement(transformation(extent={{-48,20},{-28,40}}),
iconTransformation(extent={{-12,90},{8,110}})));
Physiolibrary.Hydraulic.Interfaces.HydraulicPort_a lvflow annotation (
Placement(transformation(extent={{-46,-22},{-26,-2}}),
iconTransformation(extent={{-10,-110},{10,-90}})));
RealIO.FrequencyInput HR annotation (Placement(transformation(extent=
{{-78,-40},{-38,0}}), iconTransformation(extent={{-100,-20},
{-60,20}})));
RealIO.PressureInput Pth annotation (Placement(transformation(extent=
{{-6,24},{14,44}}), iconTransformation(
extent={{-20,-20},{20,20}},
rotation=180,
origin={82,0})));
Physiolibrary.Types.RealIO.VolumeOutput Vlv(start=
0.0001042) annotation (Placement(
transformation(extent={{20,-100},{40,-80}}), iconTransformation(extent={
{20,-100},{40,-80}})));
Physiolibrary.Types.RealIO.VolumeOutput Vrv(start=0.0001042) annotation (Placement(
transformation(extent={{20,-100},{40,-80}}), iconTransformation(extent={
{20,80},{40,100}})));
equation
//timing
tm = time - pre(t0);
when {initial(),tm >= pre(HP)} then
HP = 1/HR;
t0 = time;
ts = 0.16 + 0.3*HP;
end when;
// septum
Psept = lvflow.pressure - rvflow.pressure;
Psept = (Vsept - V0sept)*A*exp(-B*(tm - CC)^2)*Essept + (1 - A*exp(-B
*(tm - CC)^2))*Pi0sept*(exp(lambdas*Vsept) - 1);
// rightventricle
rvflow.pressure - Pperi = (Vrv + Vsept)*A*exp(-B*(tm - CC)^2)*Esrv +
(1 - A*exp(-B*(tm - CC)^2))*Pi0rv*(exp(lambdarv*(Vrv + Vsept)) - 1);
der(Vrv) = rvflow.q;
//leftventricle
lvflow.pressure - Pperi = (Vlv - Vsept)*A*exp(-B*(tm - CC)^2)*Eslv +
(1 - A*exp(-B*(tm - CC)^2))*Pi0lv*(exp(lambdalv*(Vlv - Vsept)) - 1);
der(Vlv) = lvflow.q;
//pericardium
Vperi = Vrv + Vlv;
Pperi = Pth + Pi0peri*(exp(lambdaperi*(Vperi - V0peri)) - 1);
annotation (Icon(coordinateSystem(preserveAspectRatio=false, extent={
{-100,-100},{100,100}}), graphics={Text(
extent={{102,-32},{76,-20}},
lineColor={0,0,255},
fillColor={255,170,170},
fillPattern=FillPattern.Forward,
textString="Pth"),Text(
extent={{-100,-22},{-74,-34}},
lineColor={0,0,255},
textString="HR"),Rectangle(
extent={{-20,80},{20,-60}},
lineColor={0,0,255},
fillPattern=FillPattern.Solid,
fillColor={0,0,255}),Text(
extent={{-100,-60},{100,-80}},
lineColor={0,0,255},
textString="%name")}));
end VentricularInteraction_flat;
model Smith_patSpec
extends HemodynamicsSmith_shallow(
venaCava(volume_start=V_vc0),
Ltc(volumeFlow_start=Q_tc0),
pulmonaryArteries(volume_start=V_pa0),
pulmonaryVeins(volume_start=V_pu0),
Lpv(volumeFlow_start(displayUnit="ml/min") = Q_pv0),
Lmt(volumeFlow_start(displayUnit="ml/min") = Q_mt0),
Lav(volumeFlow_start(displayUnit="ml/min") = Q_av0),
aorta(volume_start=V_ao0),
ventricularInteraction_flat(Vlv(start=V_lv0), Vrv(start=V_rv0)));
parameter Physiolibrary.Types.Mass BW = 72.3 "Body weight";
parameter Modelica.SIunits.Length Hgt = 178 "Body height";
parameter Boolean isMan = true;
parameter Physiolibrary.Types.Volume TotBV = if isMan then ((0.3669 * (Hgt/100)^3) + (0.03219 * BW) + 0.6041) * 1000 else ((0.3561 * (Hgt/100)^3) + (0.03308 * BW) + 0.1833) * 1000 "total blood volume ( Nadler et al. Surgery 51:224,1962)";
constant Real ml2m3 = 1/1000/1000;
constant Real min2s = 1/60;
parameter Physiolibrary.Types.Volume CircBV = 0.30 * TotBV*ml2m3;
parameter Physiolibrary.Types.Volume V_lv0 = (94.6812/1500) * CircBV;
parameter Physiolibrary.Types.Volume V_rv0 = (90.7302/1500) * CircBV;
parameter Physiolibrary.Types.Volume V_pa0 = (43.0123/1500) * CircBV;
parameter Physiolibrary.Types.Volume V_pu0 = (808.458/1500) * CircBV;
parameter Physiolibrary.Types.Volume V_ao0 = (133.338/1500) * CircBV;
parameter Physiolibrary.Types.Volume V_vc0 = (329.780/1500) * CircBV;
parameter Physiolibrary.Types.VolumeFlowRate Q_mt0 = 245.581*min2s*ml2m3;
parameter Physiolibrary.Types.VolumeFlowRate Q_av0 = -1e-3*min2s*ml2m3;
parameter Physiolibrary.Types.VolumeFlowRate Q_tc0 = 190.066*min2s*ml2m3;
parameter Physiolibrary.Types.VolumeFlowRate Q_pv0 = -1e-3*min2s*ml2m3;
Physiolibrary.Hydraulic.Sensors.PressureMeasure pressureMeasure
annotation (Placement(transformation(extent={{-114,-96},{-134,-76}})));
Modelica.Blocks.Interfaces.RealOutput pressure
annotation (Placement(transformation(extent={{-136,-100},{-156,-80}})));
equation
connect(pressureMeasure.q_in, aorta.q_in) annotation (Line(
points={{-120,-92},{-120,-20}},
color={0,0,0},
thickness=1));
connect(pressureMeasure.pressure, pressure)
annotation (Line(points={{-130,-90},{-146,-90}}, color={0,0,127}));
annotation (Documentation(info="<html>
<p>All params checked manually in the model</p>
<p>Following params are not inlcuded in the Modelica model:</p>
<p><br>% Left ventricle free wall parameters</p>
<p>V_d_lvf = 0; % LV ES zero P volume (mL) </p>
<p>V_0_lvf = 0; % LV ED pressure param (mL) </p>
<p>% Right ventricle free wall parameters</p>
<p>V_d_rvf = 0; % RV ES zero P volume (mL)</p>
<p>V_0_rvf = 0; % RV ED pressure param (mL)</p>
</html>"));
end Smith_patSpec;
annotation (uses(Physiolibrary(version="2.3.2-beta"), Modelica(version=
"3.2.2")));
end FMITest;