One of the aims in this thesis is to improve Dissipative Particle Dynamics (DPD) method with representing appropriate propositions and algorithms. These suggestions which are our innovations in the research, will solve some deficiencies in DPD and make this method more efficient due to lower DPD particles and simulating time. Some of these improvements are essential to extol to another numerical model stated as Low-Dimensional (LD) model. Eventually using this model, the Red Blood Cells (RBCs), plasma and a simple vessel are simulated numerically. LD-RBC model is developed due to new formulation of single particle in DPD. Then one of the most important purposes in this research is to investigate and evaluate this new formulation and LD model. Thus this efficient model is implemented to simulate hydrodynamically and rheologically the complex suspension of red cells in the blood. After these modeling, it was found LD-RBC model is able to capture the essential mechanics properties of these suspensions economically because of the low number of particles. In the end we compare the mechanical properties of the healthy RBCs and malaria infected cells at different stages of parasite development. Keywords: Dissipative Particle Dynamics (DPD) method, Low-Dimensional (LD) model, new formulation of single particle in DPD , Red Blood Cells (RBCs), malaria infected cells.