Medical monitoring and treatment apparatus, which is controlled by a plurality of control sources, includes a “personal medical device” (PMD) or an “implantable medical device” (IMD), respectively carried by, or implanted in, a patient. The PMD/IMD is alternatively self-controlled or controlled by one or more local external control stations, at or near the location of the patient, and/or one or more remote external control stations, remote from the patient. Either or both of the local and remote stations may be operated by a person, such as the patient, a patient facilitator and/or a medical professional, or the stations may operate automatically. Since the device is controlled by multiple sources, hierarchies are used to select the source of control.