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What can be observed in real time PCR and when does it show?
Pavel Chigansky1, Peter Jagers2, Fima C Klebaner3
1Department of Statistics, The Hebrew University, Mount Scopus, 91905, Jerusalem, Israel.
Journal of Mathematical Biology
|July 2, 2017
Summary
Determining initial DNA copy numbers in quantitative PCR is possible when all strands replicate (rate v=1). However, a lower replication rate introduces uncertainty, hiding the true starting molecule count.
Area of Science:
- Molecular Biology
- Mathematical Biology
- Biophysics
Background:
- Quantitative PCR (qPCR) amplifies DNA from low initial concentrations.
- Early amplification approximates doubling, later becoming linear.
- Observing low molecule numbers is challenging due to inherent randomness.
Purpose of the Study:
- To determine if initial DNA copy numbers can be accurately estimated in qPCR.
- To investigate the impact of replication rates on initial copy number determination.
- To explore this as a specific case of inferring population origins.
Main Methods:
- Utilized a generalized branching process model.
- Incorporated Michaelis-Menten enzyme kinetics.
- Analyzed the influence of the Michaelis-Menten constant relative to initial copy numbers.
Main Results:
- Initial copy number determination is fully possible when the initial replication rate (v) is one.
- A replication rate less than one leads to partial determination, introducing a 'veil of uncertainty'.
- This uncertainty phenomenon is a novel observation in population growth models.
Conclusions:
- The initial replication rate critically affects the ability to determine starting DNA quantities in qPCR.
- A rate of v=1 ensures accurate initial copy number recovery.
- Lower rates obscure initial quantities, highlighting a general principle in population dynamics.
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