State police worked Friday to reconstruct a fatal car crash involving a trooper.

Trooper Jonathan Biven, who was in his cruiser, crossed the center line of U.S. 31W in Barren County on Thursday afternoon and collided head-on with a 2003 Ford Mustang driven by Nurcan Ceylan, state police said.

Ceylan, 33, was flown to Hardin Memorial Hospital in Elizabethtown, where she was pronounced dead.

Lt. David Jude, spokesman for the state police, said Friday that it wasn't clear why Biven swerved into the other lane.

Investigators will talk to Biven and other potential witnesses and look at a range of other information, including data from the vehicles' crash-data recorders, to try to figure out the cause. "They've got to sit down and work the puzzle," Jude said.

Biven was not on an emergency call at the time of the accident.

Jude said he understood Biven was returning from training at a shooting range.

Biven received facial injuries and was released after treatment at T.J. Samson Community Hospital in Glasgow, Jude said.

A passenger in Ceylan's car, Samuel H. Parker, 54, was treated at the scene, police said.

Biven, Ceylan and Parker all were wearing safety belts, according to a news release.

Ceylan and Parker were from New Jersey, but had been living recently in Greensburg, police said.

Alcohol and drugs are not suspected as factors in the wreck, which happened four miles north of Park City at 3:47 p.m. CDT.

Biven has been with the state police since 2003 and has worked as a trooper and detective, Jude said. There is no policy requiring troopers involved in fatal wrecks to take leave while the incident is under investigation. Biven may return to work when he is ready to do so, Jude said.