Lawsuits by inmates contending that local, county, or state officials have deprived them of their constitutional rights are often termed lawsuits.

I believe the answer is: conditions of confinement lawsuits

conditions of confinement is created to ensure that people still maintain their civil rights even if they are placed behind bars.
This type of lawsuit is handled by The United States Department of Justice, Civil Rights Division, who conducted annual evaluation for all prisons in united states.