Bernoulli Equation in the Mitral Valve of Heart

Karvandi M,Ranjbar S

doi:10.15744/2394-6504.4.102

Abstract

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.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.

Highlights

In the past decade, finite element modeling of complete heart valves has greatly aided evaluation of heart valve surgery, design of bioprosthetic valve replacements, and general understanding of healthy and abnormal cardiac function
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
In this study we developed the first three-dimensional mitral valve modeling based on Bernoulli’s equation and mathematical techniques to solve them in the characterization of mitral valve leaflets in continuum equations of inelasticity framework based on echocardiography

Summary

Introduction

Finite element modeling of complete heart valves has greatly aided evaluation of heart valve surgery, design of bioprosthetic valve replacements, and general understanding of healthy and abnormal cardiac function. Such a model must be based on an accurate description of the mechanical behavior of the valve material. 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 based on echocardiographic datasets. 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

Results

Conclusion