In the clinic, atherosclerosis has been associated with abnormal physiological conditions, such as high cholesterol level, high blood pressure and diabetes, but the mechanisms by which they are linked have not yet been determined. In recent years, hemodynamic factors have been found to have a great influence on atherosclerosis. In particular, wall shear stress (WSS), an important factor in atherosclerosis from the development of early lesions to the rupture of later plaques, is now one of the most important risk indicators of atherosclerosis. Here, we used a numerical investigation to determine the impact of four physiological parameters on vascular wall stress (including WSS and wall pressure) in the right coronary arteries, in order to assess their influence on atherosclerosis risk. Each parameter was investigated both separately and in integrated models. The results indicate that the blood flow rate has the most significant influence on WSS and plays a decisive role in the variation of WSS under normal physiological conditions. Blood pressure had a minor influence on WSS under conditions of a flexible vessel wall, but this effect was lost in the absence of flexibility. Blood viscosity and vascular elasticity could also affect WSS directly, but in vivo their influences were negligible.