Preface -- 1. Studying the deformation of left ventricular myocardium based on different techniques regarding to the echocardiography -- 2. Left ventricular modeling as a polygon -- 3. Considering the torsion calculation of left ventricular muscle by Speckle Tracking in echocardiography -- 4. Motion analysis of left ventricular inner-wall -- 5. Generalized strain components of the left ventricular myocardium -- 6. Mathematical techniques to assess left ventricular myocardial forces based on echocardiography -- 7. Left ventricular fiber arrangements and orientations -- 8. Left ventricular myocardial force vectors- Mathematical work lab -- 9. Laganjian mechanic of the left ventricle -- 10. Dynamic features creating (which cause) the blood direction inside the left ventricle -- 11. A novel quantitative indicator of the left ventricular contraction based on volume changes of the left ventricular myocardial segments -- 12. Different Mathematical Techniques to Measure Left Ventricular 2D Deformations: Strain Imaging -- 13. Bernoulli Equation in the Mitral Valve of Heart -- 14. Discovery and the development of the mathematical solution for patient-specific human heart modelling based on echocardiographic imaging. .