Kabul, Afghanistan (CNN) -- An elite U.S. special forces team rescued an American doctor who had been abducted in Afghanistan, but lost one of their own members in the mission, officials said. Dr. Dilip Joseph was freed 11 hours after his captors released two other kidnapped staffers of his nonprofit agency, Morning Star Development, the organization said Sunday. Hours later, U.S. Defense Secretary Leon Panetta announced that "a U.S. service member was killed in the operation." A U.S. official said the man who was shot dead belonged to the Navy's Special Warfare Development Group, more commonly known as SEAL Team Six. The elite unit is the same one that took part in the raid that killed al Qaeda leader Osama bin Laden, but the official didn't know if the fallen service member was involved in that operation.
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NEW: The freed doctor's family thanks U.S. and allied partners, grieves lost U.S. service member
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Dr. Dilip Joseph was among 3 abducted while returning from a rural clinic, officials say
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2 local Afghan leaders say smugglers are responsible; ISAF blames the Taliban
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A U.S. official says the man killed in the rescue was a member of Navy SEAL Team Six
"We are incredibly grateful for the multiple agencies of the @placeholder government that have supported us in this difficult time, and especially the quick response by our military and partner allies to rescue Dilip," the family said.