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Journal of Statistical Theory and Practice

, Volume 5, Issue 3, pp 383–396 | Cite as

A PCR Birth Process Subject to an Enzyme Death Process

  • J. Gani
  • R. J. Swift
Article

Abstract

The PCR process is modelled as a birth process for DNA strands, subject to a death process for enzymes. The case of 1 DNA strand and 1 enzyme is considered first, and generalized to the n strand and b enzyme case. Finally an approximate process is considered which gives a good approximation for the expected number of DNA strands.

AMS Subject Classification

Primary: 60J80 Secondary: 92D20 

Key-words

DNA polymerase Polymerisation chain reaction (PCR) Birth process Death process Gompertz growth law 

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Copyright information

© Grace Scientific Publishing 2011

Authors and Affiliations

  1. 1.Mathematical Sciences InstituteAustralian National UniversityCanberraAustralia
  2. 2.Department of Mathematics and StatisticsCalifornia State Polytechnic UniversityPomonaUSA

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