Development of a three-dimensional model of left ventricular flow dynamics

Document Type



Master of Science (MS)


Mechanical Engineering

First Advisor's Name

Richard T. Schoephoerster

First Advisor's Committee Title

Committee Chair

Second Advisor's Name

German Nunez

Third Advisor's Name

Cesar Levy

Fourth Advisor's Name

M. All Ebadian

Date of Defense



The most common cause of death in the USA is coronary artery disease, which manifests itself by abnormal left ventricular (LV) wall motion. Diagnostic and prognostic parameters in use do not take into account regional and temporal changes in the heart wall.

A three-dimensional numerical model was developed to simulate the flow patterns in a spherical left ventricle using the finite analytical method.

Velocity boundary conditions were computed from LV wall motion for normal and simulated abnormal cases.

A central ejection region (CER) was defined as the region in which velocity vectors were aligned +/- °5 from the long axis. The CER was extended to a quantitative CER coefficient.

The Ejection Pressure Gradients were defined as the pressures along line segments from the center of the outlet to points on the LV wall.



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