A method is provided for noninvasive, continuous, real-time monitoring of a patients arterial blood pressure using Doppler probes and a blood pressure cuff for measurement of a patients systolic and diastolic blood pressures at a major distal artery. A continuous Doppler blood flow velocity measurement is used to generate a waveform signal correlating to a cuffs measurements of systolic and diastolic pressures. In addition, a method determines cerebral blood perfusion by providing at least two Doppler probes, one of which is placed at a distal artery with a blood pressure cuff and another of which is placed over the carotid artery or the middle cerebral artery. An algorithm calculates systolic and diastolic pressures at the distal artery and at the carotid artery or the middle cerebral artery as a function of the continuously measured Doppler blood flow velocities.