When monitoring physiological parameters (e.g., blood pressure, heart rate, etc.) of a patient, a threshold limit (30) is set (e.g., automatically or manually) and the monitored parameter is continuously compared to the threshold limit, which may be constant or may vary with time. An alarm (36) is triggered if the monitored parameter exceeds the threshold limit at any time, or if the monitored parameter has not reached a target value by the end of a predefined time period by which an administered drug or therapy should have been effective.