Title to all real, personal, and mixed property of whatever nature of each of the branches of the University of Georgia is vested in the board of regents, to be held by the board in trust for the benefit and use of the institutions entitled thereto, it being the purpose and intent of the General Assembly that the board shall hold title to the property or assets of each institution so that each institution shall receive the use and benefit of the property devoted to its use; and in no event shall the property or assets of one institution be subject to the liabilities or obligations of any other institution; provided, however, that this restriction shall not prevent the board from utilizing the facilities, educational or otherwise, of one school for the advancement or assistance of another.