The embodiments herein provide a method and a system for modeling left ventricle of heart for echocardiography machines. The method comprising the steps of taking a test case for performing echocardiography by a cardiac machine, obtaining echocardiography data from a plurality of myocardial segments, applying mathematical formulas for assumptions based on blood properties at a myocardial muscle sample and deriving coefficients of algebraic equations of quadratic forms from the mathematical formulas, calculating mathematical behavior of the myocardial muscle sample using the algebraic equations, estimating the left ventricle as a fabricated object using the quadratic forms and deriving a physical and mathematical model for the left ventricle. The echocardiography data of the myocardial muscle sample includes the velocity, displacement, strain rate and strain corresponding to the motion and deformation of the muscle volume sample having attached strain components to each myocardial muscle sample.