A PCR Birth Process Subject to an Enzyme Death Process
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 ClassificationPrimary: 60J80 Secondary: 92D20
Key-wordsDNA polymerase Polymerisation chain reaction (PCR) Birth process Death process Gompertz growth law
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