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.
Accepted:
Published online:
Nadia Lalam 1; Christine Jacob 2; Peter Jagers 3
@article{CRMATH_2005__341_10_631_0,
author = {Nadia Lalam and Christine Jacob and Peter Jagers},
title = {Estimation of the {PCR} efficiency based on a size-dependent modelling of the amplification process},
journal = {Comptes Rendus. Math\'ematique},
pages = {631--634},
publisher = {Elsevier},
volume = {341},
number = {10},
year = {2005},
doi = {10.1016/j.crma.2005.09.029},
language = {en},
}
TY - JOUR AU - Nadia Lalam AU - Christine Jacob AU - Peter Jagers TI - Estimation of the PCR efficiency based on a size-dependent modelling of the amplification process JO - Comptes Rendus. Mathématique PY - 2005 SP - 631 EP - 634 VL - 341 IS - 10 PB - Elsevier DO - 10.1016/j.crma.2005.09.029 LA - en ID - CRMATH_2005__341_10_631_0 ER -
%0 Journal Article %A Nadia Lalam %A Christine Jacob %A Peter Jagers %T Estimation of the PCR efficiency based on a size-dependent modelling of the amplification process %J Comptes Rendus. Mathématique %D 2005 %P 631-634 %V 341 %N 10 %I Elsevier %R 10.1016/j.crma.2005.09.029 %G en %F CRMATH_2005__341_10_631_0
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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