1. A method for continuously and non-invasively monitoring blood pressure of a patient, the method comprising the steps of: positioning at least two non-invasive ultrasound sensors aligned with a blood vessel of the patient, the ultrasound sensors being operable to determine the diameter of the blood vessel and the flow rate of blood through the blood vessel; utilizing a transmission line model to represent the blood vessel, where the voltage at each node of the transmission line model corresponds to the blood pressure; and using a transmission-line-based computation to estimate the blood pressure.