Atherectomy catheters and methods of using them are described herein. In particular, described herein are optical coherence tomography (OCT) catheters that may include a distal tip that can be deflected away from the long axis of the device using a multi-channel bushing. The bushing may include at a hinge point that is offset (e.g., located on a side of the elongate body near the distal end of the elongate body) and a rotatable cutter near an imaging assembly that can be driven against the wall with a high mechanical advantage.