FLT CREW EXPERIENCES LOSS OF ACFT NOSE TIRE TREAD ON TKOF. CONTINUE TO DESTINATION AND LAND UNDER EMERGENCY CONDITIONS.

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THE ACFT ARRIVED IN ZZZZ WITH A MAINT CARRYOVER (MCO) THAT SPECIFIED THAT THE R NOSE TIRE WAS WORN AND HAD A LIMITED NUMBER OF LNDGS REMAINING BEFORE IT HAD TO BE CHANGED. I PERFORMED THE WALKAROUND AND NOTED THE WORN TIRE BUT SAW NO REASON TO DEVIATE FROM THE STATUS OF THE TIRE AS DESCRIBED IN THE ACFT LOGBOOK. ACFT BOARDING; PUSHBACK; AND GND OPS WERE NORMAL. AT APPROX VR A LOUD BANG OCCURRED AND THE ACFT SHUDDERED CONTINUOUSLY UNTIL THE LNDG GEAR WAS RAISED. THE CAPT NOTED AN UNKNOWN BLACK PARTICLE FLY PAST THE COCKPIT TOWARD THE REAR OF THE ACFT. WE SUSPECTED A BLOWN NOSE TIRE IMMEDIATELY. WE DETERMINED THAT THE ACFT WAS AIRWORTHY AND THAT ENG INDICATIONS WERE NORMAL. DUE TO THE HVY WT PERFORMANCE CONSIDERATIONS IN EXTREMELY MOUNTAINOUS TERRAIN; WE DECIDED RAISING THE LNDG GEAR WAS THE BEST COURSE OF ACTION. ALTHOUGH WE WERE IN VMC CONDITIONS; THERE WERE NUMEROUS CUMULUS BUILDUPS THAT WERE A DEFINITE FACTOR IN THE MOUNTAINOUS TERRAIN. AFTER ACFT CLEANUP; CHKLIST COMPLETION; AND CLB COMMENCEMENT; WE CONTACTED ZZZZ TWR WHO RPTED THAT RUBBER HAD BEEN NOTED ON THE RWY. WE THEN CONTACTED OUR DISPATCHER AND MAINT CTL AND IN CONSULTATION WITH THEM DETERMINED THAT THE BEST COURSE WAS TO CONTINUE TO ZZZ. DISPATCH INFORMED ATC OF OUR SITUATION AND COORDINATED FOR A FLY-BY AT ZZZ. CLB; CRUISE; AND DSCNT WERE NORMAL. WE DECLARED AN EMER WITH ZZZ APCH CTL AND CONFIRMED THE FLY-BY PLAN WITH OBSERVATION BY THE TWR AND VARIOUS ACFT WAITING FOR TKOF. GEAR LOWERING WAS NORMAL WITH DOWN; 3 GREENS. TWR RPTED NOSE GEAR/TIRES APPEARED NORMAL. THE SAME RPT WAS RECEIVED FROM APPROX 6 ACFT LOCATED IN THE PROX OF RWY. EMER VEHICLES WERE PRESENT. APCH AND LNDG WERE NORMAL UNTIL NOSE GEAR TOUCHDOWN. AT NOSE GEAR TOUCHDOWN; THERE WAS MODERATE ACFT SHUDDER AND NOISE. DIRECTIONAL CTL WAS ADEQUATE WITH A MINOR AMOUNT OF RUDDER APPLICATION. THE SHUDDER WAS NOT CONTROLLABLE WITH VARYING AMOUNTS OF BACK-PRESSURE. WE STOPPED STRAIGHT AHEAD AND DETERMINED THE ACFT COULD TAXI SO WE CLRED THE RWY TO ALLOW FOR CONTINUOUS ARPT OPS. THE FIRE CHIEF; MAINT; OPS; AND ARPT PERSONNEL ALL CONCURRED THAT THE ACFT WAS SAFE TO BE TOWED TO THE GATE. PAX OFFLOAD WAS NORMAL. PRELIMINARY INSPECTION AFTER ARR REVEALED ALMOST TOTAL LOSS OF THE EXTERIOR TREAD ON THE R NOSE TIRE. THERE WAS MINOR COSMETIC DAMAGE TO THE FORWARD BELLY OF THE AIRPLANE. THERE APPEARED TO BE POSSIBLE DAMAGE TO THE BULKHEAD ON THE INTERIOR OF THE WHEEL WELL. THE L NOSE TIRE WAS TOTALLY INTACT/NORMAL. CONCLUSIONS/RECOMMENDATIONS: THE R NOSE TIRE BLEW AT VR CAUSING SOME DAMAGE AND MINOR CTL ISSUES ON TKOF AND LNDG. FLT OPS/MAINT SHOULD CONSIDER THE DISPATCH SUITABILITY OF TIRE MCO ISSUES AT HIGH ELEVATION ARPTS. A HVY WT HIGH SPD TKOF AT A HIGH ELEVATION ARPT MAY PROVIDE AN INADEQUATE SAFETY MARGIN.