The present invention provides a deflectable catheter-based system for assisting in the delivery of therapeutic agents, cellular materials and the like to one or more sites in a target body tissue. The system provides for one or more injections to a predetermined needle insertion depth with a single core needle that can be advanced and retracted from the tip of the catheter. The catheter assembly includes a handle subassembly having a mechanism for setting and limiting the depth of insertion of the needle, a slide for moving the injection needle between retracted and extended positions, a return spring for biasing the needle to the retracted position, and a modified pulley mechanism for compensating for catheter shaft compression when the catheter is deflected.