Modelling the PCR amplification process by a size-dependent branching process and estimation of the efficiency

Modelling the PCR amplification process by a size-dependent branching process and estimation of the efficiency

N. Lalam, C. Jacob, and P. Jagers

Source: Adv. in Appl. Probab. Volume 36, Number 2 (2004), 602-615.

Abstract

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 allows us to estimate the probability of replication of a DNA molecule at each cycle of a single PCR trajectory with a very good accuracy.

Primary Subjects: 60J80, 62F12

Secondary Subjects: 62P10

Keywords: Polymerase chain reaction; size-dependent branching; kinetic model; conditional least squares

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aap/1086957587
Mathematical Reviews number (MathSciNet): MR2058151
Digital Object Identifier: doi:10.1239/aap/1086957587
Zentralblatt MATH identifier: 02103404

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