Comptes Rendus
Statistics/Probability Theory
Estimation of the PCR efficiency based on a size-dependent modelling of the amplification process
Comptes Rendus. Mathématique, Volume 341 (2005) no. 10, pp. 631-634.

We propose a stochastic modelling of the PCR amplification process by a size-dependent branching process starting as a supercritical Bienaymé–Galton–Watson transient phase and then having a saturation near-critical size-dependent phase. This model based on the concept of saturation allows one to estimate the probability of replication of a DNA molecule at each cycle of a single PCR trajectory with a very good accuracy.

Nous proposons une modélisation stochastique du processus d'amplification par PCR s'appuyant sur un processus de branchement taille-dépendant qui débute par une phase transitoire de type Bienaymé–Galton–Watson supercritique et qui présente ensuite une phase de saturation taille-dépendante presque-critique. Cette modélisation basée sur le concept de saturation permet d'estimer la probabilité de réplication d'une molécule d'ADN à chaque cycle d'amplification à partir de l'observation d'une unique trajectoire d'amplification par PCR avec une très bonne précision.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2005.09.029
Nadia Lalam 1; Christine Jacob 2; Peter Jagers 3

1 EURANDOM, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
2 Unity of Applied Mathematics and Informatics, INRA, 78352 Jouy-en-Josas cedex, France
3 Chalmers University of Technology, 412 96 Göteborg, Sweden
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Nadia Lalam; Christine Jacob; Peter Jagers. Estimation of the PCR efficiency based on a size-dependent modelling of the amplification process. Comptes Rendus. Mathématique, Volume 341 (2005) no. 10, pp. 631-634. doi : 10.1016/j.crma.2005.09.029. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.09.029/

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