The board may formulate and enforce rules and regulations to carry out the purposes and objectives of this article and the Moscone-Knox Professional Corporation Act, including rules and regulations requiring (a) that the articles of incorporation or bylaws of a dental corporation shall include a provision whereby the capital stock of that corporation owned by a disqualified person (as defined in the Moscone-Knox Professional Corporation Act), or a deceased person, shall be sold to the corporation or to the remaining shareholders of that corporation within the time as the rules and regulations may provide, and (b) that a dental corporation shall provide adequate security by insurance or otherwise for claims against it by its patients arising out of the rendering of professional services.