Ying Sun, Professor, Biomedical Engineering Dept. Of .

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Electrical Analog Model ofthe Cardiovascular SystemYing Sun, Professor, Biomedical EngineeringDept. of Electrical, Computer & Biomedical Engineering

MathematicalModeling andSimulation of theCardiovascularSystem

Electrical Analog Model of theCardiovascular System

Electrical Analog Model of theCardiovascular SystemVenous Right HeartPulmonaryLeft alLVAD

Intra-Aortic Balloon Pump (IABP)

Optimization ofIABP ParametersBalloonConfigurationsTimingSun Y. Modeling the dynamicinteraction between left ventricle andintraaortic balloon pump.American Journal of Physiology261(4) (Heart Circulatory Physiology30): H1300-H1311, 1991.

Coupling Between Right and Left Ventricles HemodynamicTransseptalPericardialWhich one is moreimportant?Sun Y, Beshara M, Lucariello RJ,Chiaramida SA. A comprehensivemodel for right-left heart interactionunder the influence of pericardium andintrathoracic pressure. American J.Physiology 272 (3 Pt 2; Heart CircPhysiol 41): H1499-H1515, Mar. 1997.

Electrical Analog Model of theCardiovascular SystemVenous Right HeartPulmonaryLeft alLVAD

Validation – Cath Lab Data (Pressures)avxySun, Chiaramida et al., American J of Physiology 1997

Validation – Doppler Echocardiographic DataSun, Chiaramida et al., American J of Physiology 1997

Validation – Valsalva Maneuver.Valsalva ManeuverModel Representation1601AorticPressure14020042Pressure (mmHg)Pressure (mmHg)120Measured Arterial 0pit01505101520250510152025Time (s)Time (s)Sun, Chiaramida et al., American J of Physiology 1997

Coupling Between Right and Left Ventricles HemodynamicTransseptal 2%Pericardial 20%

Left Ventricular Assist Device(LVAD)LVLA

Left Ventricular Assist Device (LVAD)LVLA

3D Model of theLeft Ventriclewith InfarctionA finite element modelof the left ventricleinteracts dynamicallywith the circulatorymodel at a 5-ms timestep.US Patent No. US 8,295,907 B2,October 23, 2012

3D LV Model and Hemodynamic WaveformsFor an infarct size of 20% of the total left ventricular mass,the LV ejection fraction reduces from 59% to 41%.

ValidationThe integrated modelpredicts the decreaseof LV ejectionfraction and theincrease of LVvolumes as infarctsize increases inconsistence withclinical data (Sciagraet al. European JNuclear Medicine &Molecular Imaging31: 969-974, 2004).

Surgical Ventricular RestorationTo remove infarction and to restore a remodeled leftventricle to its optimal size and shape for a patientwith congestive heart failure

Model Predictionsof LV pressureand volumewaveforms for a40% infarctionunder variouspreoperative LVgeometries

Optimal Infarct Removal forVarious LV Geometries with a 40%Preoperative Infarction

SummaryMathematical models and simulations can beuseful for biomedical research for thefollowing purposes: Data regressionMechanism explanationHypothesis formulationOutcome prediction

the Cardiovascular System Ying Sun, Professor, Biomedical Engineering . Dept. of Electrical, Computer & Biomedical Engineering . Mathematical Modeling and Simulation of the Cardiovascular System. Electrical Analog Model of the Cardiovascular System. Electrical Analog Model of the Cardiovascular System Right Heart Pulmonary Left Heart LV-Aorta .

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