Police said it could be at least two weeks before toxicology results are available to shed more light on the death of Julia Niswender, 23, a junior in the university's communications department.
Police also said there were no outward signs of trauma to Ms. Niswender's body, but there were "indicators of possible foul play." Authorities are investigating the death as a homicide.
Ms. Niswender, a 2008 Monroe High School graduate, was found dead inside her off-campus apartment in the 1100 block of Huron River Drive at about 9:30 p.m. Tuesday, after family and friends reported not having heard from her in several days.
Police said they have been able to generate leads and continue to investigate.
Anyone with information about the case is asked to call Sgt. Tom Eberts at 734-482-9878 or Crime Stoppers at 1-800-773-2587.