Michigan Compiled Laws, Chapter 330. Mental Health Code § 330.2031

Sec. 1031. If the defendant is determined incompetent to stand trial, and if the court determines that there is not a substantial probability that, if provided a course of treatment, he will attain competence to stand trial within the time limit established by section 1034,  1 the court may direct a prosecuting attorney to file a petition asserting that the defendant is a person requiring treatment as defined by section 401  2 or meets the criteria for judicial admission as defined by section 515  3 with the probate court of the defendant's county of residence.