B767 ACFT IN CRUISE IN SOUTH AMERICA; CAPT RPTR INFORMED BY FLT ATTENDANT THAT THE FO; ON CREW REST; WAS HAVING CONVULSIONS. CAPT CHKED; SAW FO'S CONDITION; RETURNED TO COCKPIT; DECLARED AN EMER AND PROCEEDED DIRECT TO DEST WHERE FLT WAS MET BY MEDICAL PERSONNEL.

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APPROX 250 NM SE OF BOG; ONE OF THE FLT ATTENDANTS CAME TO THE COCKPIT TO INFORM ME THAT FO WAS IN THE CREW REST SEAT HAVING CONVULSIONS. I IMMEDIATELY WENT BACK TO ASSESS THE SIT. I OBSERVED BLOOD COMING FROM THE L CORNER OF HIS MOUTH AND HIS EYES ROLLED BACK AND TO THE R. I SHOOK THE FO WHILE REPEATEDLY CALLING HIS NAME. FO WAS TOTALLY UNRESPONSIVE. I THEN ORDERED THE FLT ATTENDANT TO MAKE A PA FOR A PHYSICIAN. I RETURNED TO THE COCKPIT; DECLARED AN EMER; AND PROCEEDED DIRECT TO BOGOTA. I INFORMED DISPATCH VIA SATCOM SHORTLY THEREAFTER. THE REQUEST FOR PARAMEDICS WAS MADE BOTH THROUGH DISPATCH AND ATC. 15 MINS PRIOR TO LNDG; FO RETURNED TO THE COCKPIT HAVING NO RECOLLECTION OF PRIOR EVENTS. I THEN ORDERED HIM TO RETURN TO THE CREW REST SEAT FOR THE REMAINDER OF THE FLT. THE APCH AND LNDG WAS UNEVENTFUL. A COCKPIT CREW LAYING OVER IN BOG WAS CALLED OUT TO FLY THE REMAINDER OF THE TRIP WHILE THE IO AND MYSELF DEADHEADED TO BASE. MANY THANKS GO OUT TO ALL THOSE WHO ASSISTED; ESPECIALLY DISPATCH -- INCLUDING AN ACR FLT WHO RELAYED THE INITIAL CALLS TO BOG ATC DUE TO THE POOR RADIO RECEPTION AND XMISSION IN THAT AREA. THERE WERE A COUPLE OF TOOLS THAT WERE INDISPENSABLE IN DEALING WITH THIS SIT WHICH WERE SATCOM AND EGPWS. SATCOM WAS USED EXTENSIVELY COMMUNICATING WITH DISPATCH TO EXPEDITE THE DEP OUT OF BOG SINCE NO GATE AGENTS WERE AVAILABLE TO ASSIST. IF SATCOM HAD NOT BEEN AVAILABLE; THE FLT WOULD HAVE BEEN CANCELED DUE TO THE FACT THAT THE FLT ATTENDANT'S SCHEDULED DUTY WOULD HAVE BEEN EXCEEDED. SINCE IT WAS THE FIRST TIME FOR THE IO AND MYSELF TO FLY INTO BOG; THE TERRAIN MAPPING FEATURE INCREASED THE COMFORT FACTOR IN A TASK SATURATED ENVIRONMENT. ALSO; IT SHOULD BE NOTED THAT IO HAD ONLY 120 HRS IN THE B757/B767; YET PERFORMED EXCEEDING WELL -- A TESTAMENT TO THE TRAINING THAT HE RECEIVED.