PA44 STUDENT PILOT WITH INSTRUCTOR ABOARD HAS SIMULATED LEFT ENGINE FAILURE AT LOW SPEED. THE STUDENT FAILS TO REACT AND THE INSTRUCTOR IS SLOW TO TAKE CONTROL; WHICH ALLOWS THE ACFT TO DEPART THE RWY.

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ON APR/WED/07 AT APPROX XA00 DURING A MULTI-ENG TRAINING FLT; I ELECTED TO GIVE A STUDENT A SIMULATED ENG-OUT ON TKOF AT APPROX 10 KIAS. THIS WAS THE FOURTH TIME I HAVE GIVEN THE STUDENT THE SITUATION AND HE HANDLED IT PROPERLY BY CLOSING BOTH THROTTLES PREVIOUSLY. THIS STUDENT HAS NOT HAD ANY FLT TRAINING IN THE PAST 3 YRS; SO HE SOMETIMES HAS DELAYED REACTIONS; BUT THIS TIME HE DID NOT REACT AT ALL. I IMMEDIATELY PULLED THE R MIXTURE CTL TO IDLE CUT-OFF WHERE THE L ALREADY WAS FOR THE SIMULATED ENG-OUT AND VERBALIZED MY FLT CTLS WHILE SIMULTANEOUSLY TRYING TO CLOSE THE THROTTLES AND MAINTAIN DIRECTIONAL CTL; BUT THE STUDENT FROZE AND WOULD NOT RELEASE THE CTLS. HE SNAPPED OUT OF IT AFTER I YELLED AT HIM AND FORCED HIM OFF THE FLT CTLS. I DODGED THE RWY LIGHTS AND SAFELY STOPPED THE ACFT IN THE GRASS TO THE L OF RWY 36. I THEN RESTARTED BOTH ENGS AND TAXIED TO THE RAMP. AFTER FURTHER INSPECTION BY MYSELF AND CERTIFIED MAINT PERSONNEL; NO DAMAGE TO THE ARPT OR ACFT OCCURRED DURING THE INCIDENT. I FEEL THAT I TOOK THE APPROPRIATE ACTIONS FOR THE GIVEN SITUATION AND THE RESULT CAME OUT WITH NO DAMAGE TO PROPERTY; PERSONS; OR ACFT. I BELIEVE THE PROB HERE IS THE FACT THAT THE STUDENT IS 'RUSTY' AND SLOW TO REACT. MAYBE A SOLUTION FOR FUTURE REF COULD BE WAVING MY HAND IN FRONT OF THE STUDENT TO GET HIS/HER ATTN.