An infusion system and pump with configurable closed loop delivery rate catch-up including an infusion system having a medication management unit and a medical device. The medication management unit has programming code to: provide a graphical user interface for modifying a drug library receive a catch-up rate factor update the drug library with the catch-up rate factor and transmit the updated drug library to the medical device. The medical device has programming code to: receive the updated drug library receive a desired infusion rate calculate expected accumulated infusion volume from the desired infusion rate request delivery of the infusion at the desired infusion rate determine actual accumulated infusion volume at a particular time increase the infusion rate by the catch-up rate factor to generate a catch-up infusion rate when at the particular time the actual accumulated infusion volume is less than expected and request infusion at the catch-up infusion rate.
