Specific immune responses refers to the fact that immunoglobulins are produced which are specific to the antigens that stimulated their production, this response leads to the production of memory cells which remain circulating in the blood stream should re-infection occur the response would be faster.pecific immune responses refers to the fact that immunoglobulins are produced which are specific to the antigens that stimulated their production, this response leads to the production of memory cells which remain circulating in the blood stream should re-infection occur the response would be faster.