Science University Research Symposium (SURS)
Publication Date
2025
College
College of Sciences & Mathematics
Department
Math and Computer Science, Department of
SURS Faculty Advisor
Jordan Brown
Presentation Type
Oral Presentation
Abstract
Patients with aortic valve stenosis often have calcified valve leaflets that impede blood flow. Transcatheter aortic valve replacement (TAVR) offers patients a minimally invasive option to replace their aortic valve by guiding a catheter through their blood vessels to deploy a bioprosthetic valve. We developed a 0-D model of the left heart to investigate TAVR performance in a patient-specific context. To achieve this, we constructed a lumped-parameter representation of cardiovascular dynamics, incorporating flows, pressures, resistances, and compliances of the heart chambers and valves. These physiological elements were represented through a system of differential equations, which we solved numerically using Backward Euler. We simulated flow and pressure dynamics upstream and downstream of the aortic valve to better capture post-TAVR behavior. By tuning the model to post-TAVR clinical data found in the literature, we demonstrated its ability to capture patient-specific hemodynamics. This tuning allows for more accurate simulation of post-TAVR cardiac dynamics, providing cardiologists with a tool to optimize patient outcomes.
Recommended Citation
Jamullamudi, Jo D.; Bui, Anna D.; Olopade, Daniel; and Gonzalez, Kevin, "Computational Modeling of Post-TAVR Cardiovascular Dynamics Using Reduced-Order Models" (2025). Science University Research Symposium (SURS). 274.
https://repository.belmont.edu/surs/274
