Disclosed herein are catheter control handles that include various cam-based mechanisms for controlling the circumferential angle and radial magnitude of flexion of an attached catheter. Control handles can comprise a housing defining a longitudinal axis extending in distal and proximal directions, a cam member that is movable axially relative to the housing and also movable rotationally about the longitudinal axis relative to the housing, at least one follower engaged with the cam member such that the at least one follower moves relative to the handle in response to the movement of the cam member, and pull wires that are coupled to the at least one follower and that extend distally out of the handle and into a steerable catheter. The at least one follower can comprise plural axial sliders, a gimbal mechanism, a ball and socket mechanism, or other mechanisms.