For the purpose of carrying out this chapter, the board shall have the power and authority to designate facilities for the detention and treatment of persons found to be infected with a sexually transmitted disease and to designate any such facility in any hospital or other public or private institution, other than a jail or correctional facility, having, or which may be provided with, such necessary detention, segregation, isolation, clinic and hospital facilities as may be required and prescribed by the board, and to enter into arrangements for the conduct of such facilities with the public officials or persons, associations, or corporations in charge of or maintaining and operating such institutions.