A porous-medium approach is used for modeling mechanics of the left ventricle (LV) of the heart. As a first approximation, a one-dimensional configuration is adopted. Motion of the endocardium and epicardium is formulated explicitly as a periodic function of time, and the mass and momentum balance equations are solved analytically. Detailed blood pressure and velocity profiles in the LV cavity are obtained. Separate expressions are derived for the fluid pressure in the myocardium, the relative fluid-solid velocity, and the stress distribution in the solid portion of the wall.