1. A method of continuous non-invasive monitoring of a plurality of arterial parameters of a patient, the method comprising: acquiring continuously measured ultrasound data via an ultrasound transducer attached to the patient for detecting a blood vessel using color flow processing within a monitoring scan plane; processing the continuously measured ultrasound data to generate continuous quantitative waveforms based on an estimated cross-sectional area of the blood vessel and an estimated volumetric flow rate of blood through the vessel; and displaying the generated continuous quantitative waveforms for monitoring the arterial parameters of the patient in real-time.