Modelling the physiological processes leading to myocardial infarction can help ameliorate the severity of the condition by improving early detection. Thus, the aim of this study was to model the cardiovascular system and simulate its response to myocardial infarction. Two methods were deployed for this simulation. The first method is the Computational Fluid Mechanics approach, simulated using Mathematica and the solutions of the resulting equations were obtained using Differential Transform Method. The second method is the Lumped Parameter method, simulated using MATLAB/Simulink. With Computational Fluid Mechanics, at 0% blockage within the arteries, no significant stress on the arterial wall was observed. At 10% and 50% blockage levels, a gradual increase in stress from the inlet through the entire arteries' length was observed. 100% blockage resulted in an exponential increase in the stress. A similar output was seen with the Lumped Parameter approach. The blood flow decreases rapidly and reaches zero at a pressure of about 170mmHg. The responses of the different arteries to myocardial infarction as simulated can be applied in the early detection of heart diseases.