Red blood cells (RBCs) play an important role in physiological processes as they constitute a significant portion of the bloodstream. RBCs can undergo large deformations which allow them to pass through blood vessels over a wide range of diameters. As a result, they significantly influence vasculature hemodynamics, which motivates the understanding of RBC dynamics in the bloodstream. This study aims at developing a computational model that can accurately predict the evolution of the shape of the RBCs in response to external forces when it passes through a network of narrow capillaries. In this study, the RBC membrane, which is comprised of a lipid bilayer membrane connected to a spectrin network, is modeled using a coarse-grained mesoscopic model. The ability of the model to accurately simulate the outcomes of optical tweezers stretching experiments is tested to find strong agreement with the experiments.