The carotid artery represents a crucial component of the cardiocirculatory system, playing a fundamental role in the delivery of oxygenated blood to the brain. The typical distensibility of the artery wall is altered by aging and by the presence of cardiovascular diseases (CVD). The vascular tissue shows nonlinear and anisotropic mechanical behavior, due to the action of collagen fibers constituting it. Understanding the pathophysiology of the carotid artery is crucial for CVD prevention, early diagnosis, and treatment. Within the field of numerical modeling, computational fluid dynamics (CFD) represents a powerful and reliable tool used to study vascular hemodynamics and its relationship with the onset and progression of atherosclerosis (AS).