Bernoulli Equation in the Mitral Valve of Heart

Abstract

Background: The mechanics of the mitral valve leaflet as a nonlinear, inelastic and anisotropic soft tissue results from an integrated response of many mathematical/physical indexes’ that illustrate the tissue. Objectives: The objective of this paper is to study and give an algorithm for the mechanisms of mitral valve of the heart based on mathematical techniques and Bernoulli’s equation. Methods and Results: Utilizing mathematical techniques and Bernoulli’s equation, we can make a geometrical modeling of the mitral valve leaflets and give available and valuable clinical benefit information of the Mitral valve behaviors for physician. Echocardiography was performed on healthy volunteers. Data evaluated included: velocity (radial, longitudinal, rotational and vector point), displacement (longitudinal and rotational), strain rate (longitudinal and circumferential) and strain (radial, longitudinal and circumferential) of all leaflet segments. Using these data, force vectors of myocardial samples and a new formula that was provided by Bernoulli equation, we were able to see what’s happening around the mitral valve of heart. All data were estimated/run by MATLAB software.