Provides easy-to-understand descriptions of the echocardiographic software used with different echocardiography machines

Explains how to exploit the benefits of the software in diagnosis and treatment

Highlights links between cardiology and the basic sciences

Offers a sound basis for further advanced and novel research

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.