Cardiovascular diseases are the leading cause of death in modern civilization, which result from insufficient coronary blood flow. The majority of them can be attributed to atherosclerosis, which causes the development of plaques that protrude into the vessel lumens and either block or partially block blood flow. The partial blockage leads to the development of collateral coronary circulation that can eliminate any symptoms of cardiac dysfunction to some degree. When the collateral circulation is insufficient, the heart muscle becomes severely limited in its work output, resulting in a heart attack. The main focus of this thesis is to simulate the nonlinear dynamics of the atherosclerotic coronary artery as a tool to predict the occurrence of a heart attack. A three-dimensional fluid-structure interaction (FSI) model is reconstructed based on the patient-specific computerized tomography (CT) scans and simulated via the finite volume method using OpenFOAM® for the determination of regions with the highest von Misses and shear stresses. The arterial wall is assumed to be rigid, while the accumulated plaque is modeled as a hyperelastic incompressible body. The fluid model incorporates transient isothermal and laminar blood flow with simplified geometry and realistic hemodynamic conditions, where blood is modeled as a Newtonian and incompressible fluid. The atherosclerotic plaque is modeled as a homogeneous solid body with mixed material properties such as smooth muscle cells, collagen, and lipids. These are the main constituents of the plaque body, all significantly different in their stiffness level, which may be the main cause of plaque rupture and initiation of myocardial infarction. In the future, the study of arterial blood flow will lead to the prediction of individual hemodynamic flows in any patient, the development of diagnostic tools to quantify the disease, and the design of devices that mimic or alter blood flow. This field is rich in challenging problems in fluid mechanics involving three-dimensional, pulsating flows at the edge of turbulence.