Today, the main cause of mortality in the world remains cardiovascular diseases. In this case, the combined pathology of the neck and head arteries, in which atherosclerosis affects the carotid arteries and there is a change in blood flow in the vertebral arteries or in the circle of Willis due to aplasia of the communicating artery, significantly increases the risk of aneurysms formation and their subsequent rupture. Assessing the risk of complications in this type of pathological condition may allow the physician to initiate timely preventive measures in specific clinical cases. The paper presents the results of modelling various variants of combined pathologies in the arteries of the neck and head. The segment under consideration includes sections of the common carotid, external and internal carotid arteries, as well as vessels of the circle of Willis and the basilar artery. The main idea of the study was to create a prognostic model to assess the risks of aneurysm formation in the circle of Willis and atherosclerotic plaque rupture in the carotid arteries. Such a system may be useful for physicians in routine practice when planning treatment tactics in patients with combined pathologies of the arterial channel. Based on the literature analysis, a number of pathologies of the cerebral and carotid arteries, most frequently occurring in various combinations, were identified: stenoses of the ICA (30 % and 70 %) and aplasia (absence) of one of the connecting arteries were considered from the point of view of geometrical features. In addition, the character of blood flow in the basilar artery, which can change its direction in steal-syndrome, was taken into account. Based on the analysis of blood flow and wall shear stress, two degrees of risk of aneurysm formation were distinguished. High risk corresponds to cases for which both of these values were statistically significantly different from the norm. Medium risk corresponds to cases for which only one of the values was statistically significantly different from the norm. For models containing atherosclerotic plaques, data on shear and normal stresses on the surfaces of atherosclerotic plaques were tabulated. The risk of plaque rupture on each side was determined for each case by analysing the result sets 11 combinations of pathological conditions with increased risk were indicated.