The increase of Low-Density Lipoproteins (LDL) in blood flow and their concentrations and sediments near the vessel wall lead to Atherosclerosis causing cardiovascular diseases.Because of the difference in velocity near the wall of the blood vessel system and the permeability of the wall in different positions, LDL surface concentration is different in artery wall. Therefore, the LDL mass transfer in the arteries could be an effective step to understanding the disease process. The purpose of this work is to investigate the LDL mass transfer in vessel walls using the Lattice Boltzmann Method (LBM). High Schmidt number of LDL leads to numerical instability of LBM. In order to solve this problem, LBM and Finite Volume Method (FVM) are combined. In this hybrid method, the blood velocity field is solved by LBM using the single relaxation time, (SRT), model and FVM is used for LDL concentration equation, The relationship between the two grids is done using interpolation. LBM is able to simulate flow and mass transfer for the Schmidt number (Sc), up to 3000 only if the time consuming multi relaxation time is used and for higher Sc number, Convergence is not achieved. However, the purposed hybrid method suggested in this work can be used to solve the problem for Sc as high as 10 7 that this range of Sc has not been simulated yet. In order to confirm the results, the equations are also of the hybrid simulation and the available results in the literature and noticeable decrease in CPU time compared with when the LBM is used for both flow and mass transfer, indicates the ability of the hybrid method.Finally, Lumen Surface Concentration (LSC) of LDL in right coronary artery with curved and rectangular shape of stenosis and simple geometry for Newtonian and non-Newtonian fluids have numerically investigated. The results show the Concentration Polarization (CP) phenomenon and LSC for Non-Newtonian fluid is less than that of Newtonian fluid. LSC increases by increasing in filtration rate (high blood pressure) and decreasing in velocity and wall shear stress. At the separation point for Newtonian fluid and at separation and reattachment points for Non-Newtonian fluid, LSC extremely increases. The length of the recirculation region for non-Newtonian fluid is less than that of Newtonian fluid. When stenosis starts, first, it grows rapidly and then, slowly goes forward, narrowing the section of the vessel. The artery with rectangular stenosis, has high LSC rise at the beginning and end of stenosis. In these points, wall shear stress reduced. Due to the change in susceptible places for disease development, a fix geometry for the growth of stenosis can’t be found Keywords: Lattice Boltzmann Method, Hybrid Method, Finite Volume Method, Mass Transfer, LDL, Schmidt number, Stenosis.