Minimal-copy-ratio of templates is a problem in detecting early stage cancer where minimal copies of somatic cancer-specific mutations are targeted in the presence of large copies of wildtype genome DNA, commonly a 1/10,000 or even less minimal-copy-ratio between the mutant target and wildtype control templates. To overcome this problem, delayed pyrophosphorolysis activated polymerization (delayed-PAP) was developed which can delay product accumulation of the wildtype control to a much later time or cycle by up to 15 cycles or by 30,000 folds. In the multiplex format, delayed-PAP is particularly useful to amplify not only the wildtype control but also mutant target templates accurately and consistently in the minimal-copy-ratio situation.