The Polymerase Chain Reaction and Branching Processes

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1995 English Publisher:SAGE PublicationsJournal:Journal of Computational Biology, volume 2, pages 63-86 (issn: 1066-5277, eissn: 1557-8666,

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Authors: Fengzhu Sun;

doi: 10.1089/cmb.1995.2.63

pmid: 7497121

The Polymerase Chain Reaction and Branching Processes

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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.

Related Organizations

University of Southern California
United States
University of California System
United States

Keywords

Base Sequence, Decision Trees, Molecular Sequence Data, DNA, Poisson Distribution, Models, Theoretical, Polymerase Chain Reaction, Mathematics, DNA Primers

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