A method and apparatus for the detection of the onset of hypoglycaemia is described. A portable sensor worn by a subject is used to detect a physiological tremor signal. The tremor signal is analysed over a period of time, and an alarm is generated when a change in the physiological tremor signal indicative of the onset of hypoglycaemia in the subject is detected. A patient or carer can then perform appropriate action, such as performing a finger prick test to determine blood sugar test and treating as required. The portable sensor can be used to detect a tremor signal indicative of the, the onset of hypoglycaemia such as a signal corresponding to a decrease in blood glucose level (BGL) below 5 mmol/l. The portable sensor can use an accelerometer and may be worn on a limb, such as an arm or leg. The sensor can be used to measure the power of the tremor signal and detect a change, such as an increase in power over time and/or an increase in the rate of change of power over time. Filtering the signal may include filtering signals outside of the range 0-50 Hz, or more specifically 7-15 Hz.