The lawsuit filed in Texas district court asks a judge to order John Peter Smith Hospital to remove life support for Marlise Munoz, who fell unconscious in November.
But the hospital says it can't follow the directive due to a state law that prohibits life-saving treatment from being denied to pregnant patients. Experts familiar with the law say the hospital is incorrectly applying the statute.
Erick Munoz has said a doctor told him his wife is considered brain-dead. Munoz says he and his wife are both paramedics and are familiar with end-of-life issues. He says his wife had made her wishes clear to him that she would not want life support in this kind of situation. Marlise Munoz's parents agree.
The health of the fetus is unknown. Munoz is believed to have been without oxygen for some time before her husband found her.
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The hospital has cited a provision of the Texas Advance Directives Act that reads: "A person may not withdraw or withhold life-sustaining treatment under this subchapter from a pregnant patient."
Experts interviewed by The Associated Press, including two who helped draft the legislation, said a brain-dead patient's case wouldn't be covered by the law.
Hospital spokeswoman JR Labbe has said hospital officials stand by their decision: "This is not a difficult decision for us. We are following the law."
Labbe did not immediately return an email message seeking comment on the lawsuit.