CLEVELAND, Ohio -- The Cuyahoga County Sheriff's Department will launch an investigation into the November death of Tanisha Anderson who died in custody of Cleveland police.

The Cuyahoga County Prosecutor's Office on Tuesday asked the department to initiate an independent investigation into the 37-year-old's Nov. 13 death.

"As with any investigation, our detectives will do an impartial and thorough job," Cuyahoga County Sheriff Cliff Pinkney said in a press release Tuesday afternoon.

Pinkney said he would not set "an artificial timeline" for his detectives to complete the investigation.

The investigation centers on an incident involving officers Scott Aldridge and Bryan Myers. The officers were called to Anderson's East Side home after her family said she was disturbing the peace, Cleveland police said. They agreed to let the officers take Anderson, who suffered from mental illness, to St. Vincent Charity Hospital for a mental-health evaluation.

Anderson struggled with the officers and refused to get into the back of the police car. Cleveland police said Anderson kicked at the officers.

She died after Aldridge and Myers restrained her in a prone position on the ground, according to the Cuyahoga County Medical Examiner's Office. Heart disease and bipolar disorder were contributing factors to her death, which was ruled a homicide.

Cleveland police's use of deadly force investigation team submitted its findings in Anderson's death to the prosecutor's office in February.

Cuyahoga County Prosecutor Timothy J. McGinty said previously that he planned to turn the investigation over to an independent agency ever since his office received the file, according to spokesman Joe Frolik.

Frolik stressed that Tuesday's move is not a rejection of the Cleveland police department's investigation of itself.

"It raises everybody's credibility and confidence," he said.

Frolik said prosecutors reviewed the investigation and removed statements officers made to internal investigators that cannot be included in a criminal investigation.

The move comes 10 days after McGinty's office released a redacted copy of the sheriff department's investigation into the Nov. 22 death of 12-year-old Tamir Rice who was shot by a Cleveland police officer outside Cudell Recreation Center.

Pinkney oversaw that investigation and was criticized by activists and members of the Rice family for the length of the investigation.

City and county officials are negotiating an agreement that would have the sheriff's department investigate any death that occurs at the hands of a Cleveland police officer.

Anderson's death came weeks before the U.S. Department of Justice released findings in an investigation that examined the Cleveland police department's use of force practice. Among its findings, the Justice Department said that too many police officers do not properly use de-escalatation tactics to avoid using force against a person going through a mental health episode.

The investigation also found that, although nearly 400 officers have received specialized training from the Alcohol, Drug Addiction & Mental Health Services Board, the department's deployment plan often ends up with untrained officers responding to calls for people in mental-health crises.

Police will not say if the officers involved in her death received that training.

As part of its agreement with the Justice Department, the Cleveland police department must put together a mental health advisory committee to help officers develop better strategies for responding to incidents involving people with mental-health issues.

A judge approved the consent decree agreement earlier this month.

Attorney David Malik represents the Anderson family in a civil lawsuit filed against the department and the officers involved in her death.

"We are just encouraged that there's going to be, we hope, a thorough investigation," Malik said.