It depends upon the methodology you are using, but by varying the number of cycles, or the Mn concentration are two common ways to control mutation rate in error prone PCR.
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Error-prone PCR (epPCR) introduces random mutations during DNA amplification by using low-fidelity DNA polymerases or modifying reaction conditions to decrease polymerase fidelity. To regulate the number of random mutations, you can adjust several parameters:
Polymerase Choice: Using low-fidelity polymerases such as mutant versions of Pyrococcus furiosus DNA polymerase, which lack proofreading activity, can significantly increase mutation rates [1].
Reaction Conditions: Adding agents like propan-1-ol can induce mutagenesis by destabilizing the polymerase, thus increasing error rates [2].
MnCl2 Concentration: Incorporating manganese ions instead of magnesium can increase error rates due to altered nucleotide incorporation fidelity [2].
By fine-tuning these conditions, you can control the mutation frequency in epPCR.
Reference
[1] Biles, B. D., & Connolly, B. (2004). Low-fidelity Pyrococcus furiosus DNA polymerase mutants useful in error-prone PCR.. Nucleic acids research, 32 22, e176 .
[2] Claveau, S., Sasseville, M., & Beauregard, M. (2004). Alcohol-mediated error-prone PCR.. DNA and cell biology, 23 11, 789-95 .