Interacting cutting blades, forming a part of a rotary tissue cutter, has an outer cutting blade 28 including an edge 36 defining a port 34 formed near a distal end 30 of the outer cutting blade 28. An inner cutting blade 12 for rotation relative to the outer cutting blade 28 is held within the outer cutting blade 28. The inner cutting blade 12 includes one or more cutting elements 20 formed near a distal end 18 such that an edge 14 of the inner cutting blade 12 forms resilient frictional contact with the edge 36 and the cutting elements 20 each have a convex shape such that an apex 22 of each of the cutting elements 20 extends within the port 34 and beyond an inner surface 38 of the outer cutting blade 28 as the inner cutting blade 12 is rotated within the outer cutting blade 28.