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Mathematical model of a variable aperture mitral valve
Christoph Florian Franck1, Lee Waite
1Department of Applied Biology and Biomedical Engineering, Rose-Hulman Institute of Technology, Terre Haute, IN 47803, USA.
Biomedical Sciences Instrumentation
|June 28, 2002
Summary
A new model simulates mitral valve opening during diastolic filling, improving accuracy over previous fixed-area models. This enhanced diastolic filling model better matches experimental data for transmitral flow waveforms.
Area of Science:
- Cardiovascular Physiology
- Biomedical Engineering
- Computational Fluid Dynamics
Background:
- Previous diastolic filling models used a constant effective mitral valve area and impedance.
- These models did not accurately represent the dynamic opening of the mitral valve.
Purpose of the Study:
- To develop and validate a novel model for mitral valve opening during diastolic ventricular filling.
- To improve the accuracy of simulating transmitral flow waveforms.
Main Methods:
- Developed a second-order dynamics and Bernoulli's equation-based model.
- Modified a lumped variable diastolic filling model to incorporate a variable mitral valve aperture.
- Calibrated the combined model using porcine experimental data and artificial pressure gradients.
Main Results:
- The new model, featuring a variable mitral valve aperture, demonstrated improved agreement with experimental transmitral flow waveforms.
- Simulated waveforms from the variable aperture model showed better correlation with experimental data compared to the fixed aperture model.
Conclusions:
- The developed model accurately captures the mitral valve opening process during diastole.
- Incorporating a variable mitral valve aperture significantly enhances the prediction of transmitral flow dynamics.