A PCR birth process subject to an enzyme death process

J. Gani; R. J. Swift

doi:10.1080/15598608.2011.10412036

A PCR birth process subject to an enzyme death process

J. Gani, R. J. Swift^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	383-396
Number of pages	14
Journal	Journal of Statistical Theory and Practice
Volume	5
Issue number	3
DOIs	https://doi.org/10.1080/15598608.2011.10412036
Publication status	Published - 1 Sept 2011

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10.1080/15598608.2011.10412036

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title = "A PCR birth process subject to an enzyme death process",

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.",

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AB - 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.

KW - Birth process

KW - DNA polymerase

KW - Death process

KW - Gompertz growth law

KW - Polymerisation chain reaction (PCR)

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DO - 10.1080/15598608.2011.10412036

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JO - Journal of Statistical Theory and Practice

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A PCR birth process subject to an enzyme death process

Abstract

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