BOSTON (AP) — The highest court in Massachusetts is scheduled to hear arguments in the case of a Wellesley doctor convicted of killing his wife in 1999.

WBZ NewsRadio 1030’s Ben Parker reports

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Dirk Greineder, a well-known allergist at Brigham & Women’s Hospital, was convicted of first-degree murder in the death of his wife, Mabel.

In June, the U.S. Supreme Court, citing its recent rulings on DNA testimony, ordered the state’s highest court to reconsider the case.

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Oral arguments are scheduled Thursday before the Supreme Judicial Court.

A DNA expert testified for prosecutors even though she didn’t do the DNA testing herself. Greineder’s lawyers say that violated his constitutional right to confront witnesses against him.

Prosecutors said Greineder killed his wife after she discovered his secret life of prostitutes and pornography. Greineder says she was killed by a stranger.

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Copyright 2012 The Associated Press.