The center shall be administered by the board of trustees of mental institutions, as provided for in Sections 41-5-31 through 41-5-55, inclusive, and all subsequent laws enacted which define the powers and authority of the board. Provisions relating to the admission and care of residents and patients provided for hereinafter shall apply to all institutions for persons with an intellectual disability administered by the board, unless they are in conflict with the provisions of the above-mentioned laws.