A mathematical model of aortic valve vibration.
It has been shown experimentally that the second heart sound is produced by diastolic vibrations of the closed aortic valve. In the present paper a mathematical model of this vibration is developed from first principles. The model assumes a one dimensional but non-linear fluid behavior. The problem is coupled through a non-linear, planar valve. A solution is obtained using the method of characteristics developed in finite difference form. The resulting valve frequency and amplitude are in good agreement with patient data. The model predicts a strong dependency of response on the valve forcing function and valve stiffness; and a weaker dependency of response on valve mass.
D001021:Aortic Valve / Q000502:physiology*; D006347:Heart Sounds; D006801:Humans; D008433:Mathematics; D008955:Models, Cardiovascular; D014732:Vibration