Literature DB >> 7497121

The polymerase chain reaction and branching processes.

F Sun1.   

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.

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Year:  1995        PMID: 7497121     DOI: 10.1089/cmb.1995.2.63

Source DB:  PubMed          Journal:  J Comput Biol        ISSN: 1066-5277            Impact factor:   1.479


  13 in total

1.  Taq DNA polymerase slippage mutation rates measured by PCR and quasi-likelihood analysis: (CA/GT)n and (A/T)n microsatellites.

Authors:  Deepali Shinde; Yinglei Lai; Fengzhu Sun; Norman Arnheim
Journal:  Nucleic Acids Res       Date:  2003-02-01       Impact factor: 16.971

2.  Establishment of new mutations in changing environments.

Authors:  Stephan Peischl; Mark Kirkpatrick
Journal:  Genetics       Date:  2012-04-27       Impact factor: 4.562

3.  Thermodynamic prediction of protein neutrality.

Authors:  Jesse D Bloom; Jonathan J Silberg; Claus O Wilke; D Allan Drummond; Christoph Adami; Frances H Arnold
Journal:  Proc Natl Acad Sci U S A       Date:  2005-01-11       Impact factor: 11.205

4.  Protein stability promotes evolvability.

Authors:  Jesse D Bloom; Sy T Labthavikul; Christopher R Otey; Frances H Arnold
Journal:  Proc Natl Acad Sci U S A       Date:  2006-03-31       Impact factor: 11.205

5.  The optimal burst of mutation to create a phenotype.

Authors:  J J Bull
Journal:  J Theor Biol       Date:  2008-06-18       Impact factor: 2.691

6.  Efficiency of DNA replication in the polymerase chain reaction.

Authors:  G Stolovitzky; G Cecchi
Journal:  Proc Natl Acad Sci U S A       Date:  1996-11-12       Impact factor: 11.205

Review 7.  Mutant library construction in directed molecular evolution: casting a wider net.

Authors:  Tian-Wen Wang; Hu Zhu; Xing-Yuan Ma; Ting Zhang; Yu-Shu Ma; Dong-Zhi Wei
Journal:  Mol Biotechnol       Date:  2006-09       Impact factor: 2.860

8.  Quantifying the adaptive potential of an antibiotic resistance enzyme.

Authors:  Martijn F Schenk; Ivan G Szendro; Joachim Krug; J Arjan G M de Visser
Journal:  PLoS Genet       Date:  2012-06-28       Impact factor: 5.917

9.  A graphical simulation model of the entire DNA process associated with the analysis of short tandem repeat loci.

Authors:  Peter Gill; James Curran; Keith Elliot
Journal:  Nucleic Acids Res       Date:  2005-01-28       Impact factor: 16.971

10.  Evolution favors protein mutational robustness in sufficiently large populations.

Authors:  Jesse D Bloom; Zhongyi Lu; David Chen; Alpan Raval; Ophelia S Venturelli; Frances H Arnold
Journal:  BMC Biol       Date:  2007-07-17       Impact factor: 7.431

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