The multi-phase, multi-component nature of the blood flow and its dynamics through the vascular network is certainly complex. Differential forces and moments generated on the suspensions as they pass through the arterial circulation, generates significant changes to its interaction with the lumen surface. This, in turn, makes some sites more prone to the initiation and growth of atherosclerotic plaques. The near-wall hemodynamics and its interaction result in the site-specific accumulation of substances such as low-density lipoprotein (LDL). The present study investigates the influence of wall shear stress (WSS) on the concentration of LDL at the lumen surface of the blood vessels using a continuum description. To this end, appropriate model geometries are constructed for disease conditions such as aneurysms and stenosed arteries. Computational fluid dynamics (CFD) simulations are performed and associated flow topology is analyzed. The influence of clinically relevant conditions such as flow pulsatility, vessel wall curvature, blood rheology, etc. is investigated to study the correlation between WSS and LDL concentration. It was observed that, although steady periodic conditions are established for the flow field within 3-4 cardiac cycles, LDL concentration in the vicinity of the wall evolves only over a much larger number of cardiac cycles. For the size of the carotid artery, it is of the order of 40-60 cycles. However, to achieve computational economy, dynamic mode decomposition (DMD) was utilized to obtain the cyclic velocity field that enables reconstruction of the flow field data from the DMD modes instead of solving the Navier-Stokes equation. Finally, the developed coupled solver is utilized to study the LDL evolution in a clinically relevant patient-specific geometry.