A computer model of early diastolic filling through the mitral valve

Abstract

The current paper presents a computer model of early diastolic (E-wave) left ventricular filling through the mitral valve. It is believed that this lumped-parameter model will be clinically useful, for example in the diagnosis of diastolic dysfunction. The model is based on the solution of the ordinary differential equations describing flow through the mitral valve, as well as equations that model the intrinsic and extrinsic behaviour of a mitral valve with variable orifice area (mimicking the opening and closing of the valve leaflets). The model was developed and calibrated using porcine data. The model has now been further validated in 12 canine trials. Values are reported of canine atrial and ventricular stiffness, active relaxation characteristics, valve natural frequency, damping coefficient, and effective orifice area measured by solving the inverse problem to obtain a best-fit match between canine empirical and simulated waveforms. The best fit was determined by minimizing the error between the simulated and empirical pressure and velocity waveforms using a minimized sum-of-squares figure of merit. The paper also presents human data addressing the feasibility of using the model in man, with Doppler velocity waveforms as the primary input to the model. The paper reports parameters measured in human patients by solving the inverse problem.