A lumped parameter model of left ventricular filling-pressure waveforms

Assessment of left-ventricular function and quantification of valve stenosis are important in clinical practice as well as in physiological research. This paper describes a mathematical model of diastolic ventricular filling and flow across the mitral valve. The model primarily consists of a system of three first-order, non-linear ordinary differential equations. The equations are solved in MATLAB using the ode45 command. The model generates pressure versus time waveforms for the atrium and ventricle, and flow versus time waveforms for mitral valve flow. Comparisons between model outputs and in-vivo data collected in two porcine experiments show excellent agreement.