Michigan Compiled Laws, Chapter 330. Mental Health Code § 330.1278

Sec. 278. (1) An individual who is taken to an approved service program or emergency medical service under section 276(1)  1continues to be in protective custody.Except as otherwise provided in section 281a, 281b, or 281c,  2 the individual shall not be detained once the individual is medically examined and found not to be incapacitated. An individual found by medical examination to be incapacitated shall be detained, except as otherwise provided in section 281a, 281b, or 281c, until the individual is no longer incapacitated or for not more than 72 hours after the individual is taken to the approved service program or emergency medical service. An individual may consent to remain in the program for as long as the health professional in charge believes appropriate.

(2) An individual who is taken to an approved service program or emergency medical service under section 276(5) shall be discharged to a peace officer after the individual is no longer incapacitated. An individual who remains incapacitated at the expiration of 72 hours after the individual has been taken to the approved service program or emergency medical service shall be discharged to a peace officer unless 1 of the following circumstances applies: