HOUSTON (CNN) — Jurors in the trial of Andrea Yates began deliberating her fate Tuesday afternoon after attorneys and prosecutors made closing arguments about whether the Texas mother was sane the day she drowned her five children in the family bathtub.

The panel of eight women and four men went behind closed doors to decide whether she was guilty of capital murder or not guilty because of the psychosis that gave her delusions.

A conviction would bring either life in prison or death by lethal injection, while an acquittal would send her to a state mental hospital until she is deemed cured.

The Yates children

Yates is charged with two counts of capital murder for the deaths last summer of Noah, 7, John, 5, and Mary, 6 months. One of the counts covers the two eldest children. She is not on trial for the drownings of Luke, 3, and Paul, 2.

Prosecutors said Yates knew what she was doing was wrong, and she acted deliberately when she drowned the children.

"This is a crime of horrific proportions. This is a crime where she made a choice, knowing it was a sin, she had to conceal this act because others would stop her from doing it," prosecutor Kaylynn Williford said in her closing argument. "It was wrong in the eyes of God, and it was wrong in the eyes of the law."

Prosecutors also suggested that Yates may have killed the children to get back at her husband, Russell.

After the closing arguments, Russell Yates said, "I think anyone who has a mental illness (and) who watched that should be offended."

Andrea Yates has confessed to killing the children, but has pleaded not guilty by reason of insanity.

Prosecutor Wendell Owmby

"If this woman doesn't meet the test of insanity in this state, then nobody does," defense attorney George Parnham told the jury. "We might as well wipe it from the books."

Prosecutor Joseph Owmby during Tuesday's closing arguments. Yates attorney Wendell Odom argued that Yates was an "extremely sick woman" when she drowned the children.

"The state is looking for a technicality on how to convict her, because some people simply do not want to accept the fact that you can be so mentally ill that you kill five people," he said.

Odom said that a number of the medical experts who testified said Yates was the sickest patient they had ever seen, suffering from schizophrenia, depression and other mental conditions. He said those conditions, combined with postpartum depression following Mary's birth, cause a "full-blown psychosis."

Odom also challenged the credibility of several prosecution witnesses, including high-profile UCLA psychiatrist Dr. Park Dietz -- implying his testimony might be for sale.

"I know one thing, that if we had between $50,000 and $100,000 and we called him first, Park Dietz might have been testifying for the defense," Odom said.

Dietz had testified that Yates was mentally ill, but still knew that her actions were legally and morally wrong. They also played video and audio tapes in which Yates confessed to the killings and said what she did was wrong.

Under Texas law, if jurors believe Yates knew right from wrong at the time of the killings, they cannot find her legally insane.

Williford described the steps Yates took in preparation to drown the children and said it took about three minutes for Paul to lose consciousness.

Defense lawyer Wendell Odom

"I would ask that you take at least three minutes of silence, and sit there in silence and realize, realize how long it takes for a child to lose voluntary control of their body," she said.

Yates' attorneys asked for a mistrial Tuesday, after prosecutor Joseph Owmby asked jurors to look at the charges against Yates, saying "there was no question" that Yates acted knowingly and intentionally when she drowned her five children.

Odom argued a new trial should be granted because Owmby inappropriately defined the charges.

Judge Belinda Hill did not comment on the motion, and Owmby continued presenting his closing argument.

The arguments wrapped up three weeks of testimony from police, medical experts and family members. The defense rested Monday after calling rebuttal witnesses in the trial of Andrea Yates. The prosecution rested over the weekend.

Yates remained unemotional during the closing arguments, as she has through most of the trial.

The charges Yates faces are based on provisions in Texas statutes. One charge covers the intentional deaths of two people in the same event or scheme; the other covers the death of a child under 6.

The prosecution does not contest that Yates suffered from a severe mental disease, but contends she knew killing her children was wrong and that the acts were premeditated.

The prosecution has not charged Yates in the deaths of two children, preserving its right to charge her later. Legal analysts have speculated whether or not this would constitute double jeopardy — trying a person twice for the same crime — which is unconstitutional.

If Yates is acquitted, the court will have to wait at least 30 days before deciding whether she should be committed to a mental hospital or go free.