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

DOI10.1239/aap/1086957587zbMath1051.92021OpenAlexW2158274955MaRDI QIDQ4819497

Peter Jagers, Nadia Lalam, Christine Jacob

Publication date: 24 September 2004

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1086957587

zbMATH Keywords

conditional least squarespolymerase chain reactionDNA moleculesize-dependent branching

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Applications of statistics to biology and medical sciences; meta analysis (62P10) Applications of branching processes (60J85) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40)

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A quantitative approach for polymerase chain reactions based on a hidden Markov model ⋮ Conditional least squares estimation in nonstationary nonlinear stochastic regression models ⋮ Modelling the PCR amplification process by a size-dependent branching process and estimation of the efficiency ⋮ Estimation of the reaction efficiency in polymerase chain reaction ⋮ A minimally parametrized branching process explaining plateau phase of qPCR amplification ⋮ What can be observed in real time PCR and when does it show? ⋮ Bayesian Estimation for Quantification by Real-time Polymerase Chain Reaction Under a Branching Process Model of the DNA Molecules Amplification Process ⋮ Ancestral inference for branching processes in random environments and an application to polymerase chain reaction ⋮ A PCR birth process subject to an enzyme death process ⋮ Estimation of the PCR efficiency based on a size-dependent modelling of the amplification process

Cites Work

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• Estimation of the offspring mean in a supercritical or near-critical size-dependent branching process
• Modelling the PCR amplification process by a size-dependent branching process and estimation of the efficiency