A computer model for simulating pressure and flow propagation in the human arterial system is developed. The model is based on the one-dimensional flow equations and includes non-linearities arising from geometry and material properties. Fifty five arterial segments, representing the various major arteries, are combined to form the model of the arterial system. Particular attention is paid to the development of peripheral pressure and flow pulses under normal flow conditions and under conditions of arterial disease. Cases investigated include arteriosclerosis and hypertension as well as the presence of single or multiple vascular occlusions. Results demonstrate that the model is capable of simulating arterial flow in a satisfactory manner.