Mathematical model of a variable aperture mitral valve
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Updated: Sep 24, 2026

An Image Guided Transapical Mitral Valve Leaflet Puncture Model of Controlled Volume Overload from Mitral Regurgitation in the Rat
Published on: May 19, 2020
Christoph Florian Franck1, Lee Waite
1Department of Applied Biology and Biomedical Engineering, Rose-Hulman Institute of Technology, Terre Haute, IN 47803, USA.
Abstract:
Previous models of pressure and flow waveforms during diastolic ventricular filling by the Waite et al. [2] described mitral valve behavior by a constant effective valve area and a constant valve impedance. A model to describe the opening process of the mitral valve was developed. The model is based on second-order dynamics and Bernoulli's equation. The earlier lumped variable model for diastolic filling was modified to reflect a variable mitral valve aperture. The combined model was calibrated using pressure and flow waveforms from porcine experiments and artificial transmitral pressure gradient waveforms. A comparison between the results of the combined model and the earlier fixed aperture model shows better agreement of experimental and simulated transmitral flow waveform in the combined model.
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