Peristaltic micropump assemblies configured to pump fluid from a patient and/or deliver pharmaceutical agents to the patient are provided. In some embodiments, a micropump assembly can include a rotor configured to rotate about an axis and comprising a compressing member configured to rotate along a circumference, and a fluid chamber positioned at least partially around the circumference. The fluid chamber includes a round outer ring and a membrane attached to the outer ring and opposing an inner face of the outer ring. The compressing member is configured to compress the fluid chamber and move a fluid through the fluid chamber. The assembly can fit within a housing that is sized and shaped to be implanted in the patient. For example, the micropump assembly can be inserted into the patient's ocular cavity and configured to displace fluid from the patient's eye.