Polymerase chain reaction(PCR) is an important diagnosis tool in molecular biology
which have been greatly improved by PCR.However
optimizing the experimental conditions is still a problem for PRC.Computer biology can be a solution to this problem.In this paper
developments of the mathematical models for PCA are reviewed.It is believed that this kind of research efforts shall be helpful for optimizing the experimental conditions and providing guidance for the biologists and understanding the mechanism of PCR.