The Polymerase Chain Reaction and Branching Processes
- 1 January 1995
- journal article
- Published by Mary Ann Liebert Inc in Journal of Computational Biology
- Vol. 2 (1) , 63-86
- https://doi.org/10.1089/cmb.1995.2.63
Abstract
We construct a mathematical model for the polymerase chain reaction and its mutations using the theory of branching processes. Under this model we study the number of mutations in a randomly chosen sequence after n PCR cycles. A method for estimating the mutation is proposed and the variance of this estimator is studied. We also study the distribution of the Hamming distance between two randomly chosen sequences and a method for estimating the mutation rate based on pairwise differences is proposed.Keywords
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