Abstract
The mitral valve, which lies between the left atrium and the left ventricle, plays an important role in controlling the uniflux of blood from the left atrium to the left ventricle as one of the four human heart valves. A precise description of the shape of human mitral valve has vital significance in studying its physiological structure and periodic movement. Unsatisfyingly, there is almost no unified mathematical description of the same shape of human mitral valve in literature. In this paper, we present a geometric model for human mitral valve, as an elastic shell with a special shape. Parametric equations for the shape of human mitral valve are provided, including the anterior and the posterior parts, which can be thought as portions of two interfacing semi-elliptic cylindrical shells. The minor axis of one ellipse is equal to the major axis of the other. All the parameters are determined from the statistical data. Comparison of fitting results with existing examples validates the accuracy of our geometric model. Based on the fitting shape, one can further simulate the physiological function of the mitral valve using a suitable dynamic physical equation.
Highlights
Research shows that the heart valves open and close about 3 × 109 times in a human lifetime [1]
The mitral valve, located between the left atrium and the left ventricle [2], is one of four important human heart valves which periodically open and close under the differential pressure of the heart and blood coupling [3]. It plays an important role in maintaining the uniflux of blood from the left atrium to the left ventricle
We describe the shape of the human mitral valve leaflets and provide parametric equations based on statistical data of the human mitral valve
Summary
Research shows that the heart valves open and close about 3 × 109 times in a human lifetime [1]. We describe the shape of the human mitral valve leaflets and provide parametric equations based on statistical data of the human mitral valve.
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