The invention relates to automatically adjusting an acquisition protocol for dynamic medical imaging, such as dynamic CT, MR1 or PET imaging. The protocols are adjusted based on anatomic and dynamic models (10, 12, 14) which are individualized or fitted to each patient based on a scout scan (6, 8). The adjustment can compensate for changes in the patient due to patient motion (e.g. breathing or heartbeat) or flow of contrast or tracing agent during the sequence. This ensures that changes in the reconstructed images are indicative of pathological changes in the patient and not caused by patient motion or changes in scanning parameters or timing. The dynamic model can be a motion model (12) used to predict the motion of anatomic/physiologic features, typically organs, during scanning, or a haemodynamic model (14) used to predict flow of the contrast agent allowing for precise timing of the scanning sequence.