There’s no dispute that a Kansas University librarian died in her bedroom last summer after letting out muffled screams in the night. There’s no dispute that her husband, a carpenter and former Christian-school trustee, was at the scene.

But jurors must decide this week whether Mary E. Miller’s death on July 28, 2004, was a homicide, and, if so, whether there is proof beyond a reasonable doubt that her husband, Martin K. Miller, was the killer. He faces one count of premeditated first-degree murder, and deliberations are expected to begin today.

“We’re not asking the jurors to consider any lesser offenses,” defense attorney Mark Manna said. “It’s either he did it, or he didn’t do it.”

Here is a recap of the key evidence in the case:

¢ Autopsy: There were no immediate signs of foul play, but coroner Erik Mitchell testified he was confident the death was a strangulation.

Mitchell said that during the autopsy, he found bruises in the muscles and cartilage inside Mary Miller’s neck, signs that pressure had been applied. Mitchell also found tiny, pinpoint bruises inside her eyelids, a symptom that often appears as blood pressure rises in the head during strangulation.

Defense attorney Manna, however, noted that some signs of strangulation weren’t present, including discoloration to her face and bruises on the skin of her neck. He argued it’s possible her death was a heart attack.

¢ Changed story: At first, Martin Miller repeatedly denied being in his bedroom that night and hearing his wife make noises. But after his children told police they’d heard him comforting their mother as she screamed, he changed his story and admitted being in the room.

The story he told jurors last week was that he fell asleep on the toilet, woke up to hear his wife making noise in the next room, then went to comfort her. He said he didn’t previously admit being in the room because he panicked and was scared he’d be blamed for failing to call for medical help.

¢ Internet search: An examination of Miller’s computer found that at about 12:15 a.m. the night of the death, he had searched the Internet for terms including “deepest ‘sleep pattern.'”

Miller initially told police he was sleeping at 12:15 a.m., but he changed his story after the computer exam and after his daughter said she’d heard him walk down the hall and boot up the computer about that time.

¢ Motive: Prosecutors don’t have to prove a motive, but they allege Miller wanted to be free to pursue sexual relationships with other women. One of the witnesses at trial was a Eudora woman with whom he’d had a four-year affair that occasionally was disguised as Bible study.

He also had listed himself on three adult online dating services, something he said happened as an extension of his addiction to pornography.

But Miller didn’t want to get divorced, prosecutors allege, in part because he opposed it for religious reasons and believed he could lose leadership roles with his church and his children’s Christian school.

Prosecutors also allege the Millers were having increasing financial problems and that Martin Miller wanted to collect more than $300,000 in life insurance.

Manna, however, argues that his client had no motive. He said Mary Miller knew of her husband’s addiction to pornography and may have known about his affair.

Manna argued it wasn’t true Miller would be disowned by friends if he were divorced, and he said the couple’s financial troubles had been going on for years.