Some probability distributions in modeling DNA replication
type: Item
instance of: scholarly article
title: Some probability distributions in modeling DNA replication
zbMATH Open document ID: 1043.92010
author: A. Lachal
published in: The Annals of Applied Probability
publication date: 2004-03-21T00:00:00Z
review text: The author employs infinite products that arise in the theory of partitions to obtain explicit formulae for the Laplace transforms of some random variables introduced by \textit{R. Cowan} and \textit{S. N. Chiu} [J. Appl. Probab. 31, 301--308 (1994; Zbl 0798.92016)] to model the mechanism of a DNA molecule.
Mathematics Subject Classification ID: 92C40
Mathematics Subject Classification ID: 92C05
Mathematics Subject Classification ID: 60K05
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 2061214
zbMATH Keywords: renewal equation
zbMATH Keywords: functional differential equation
reviewed by: P. R. Parthasarathy
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aoap/1060202839
OpenAlex ID: W1970693458
cites work: Q4146776
cites work: Q3154968
cites work: Q4416750
cites work: A new discrete distribution arising in a model of DNA replication
cites work: A stochastic model of fragment formation when DNA replicates
cites work: A limit theorem for the replication time of a DNA molecule
cites work: A Markovian analysis of additive-increase multiplicative-decrease algorithms
cites work: Addendum to: `Quasi-renewal estimates' for modelling DNA replication
DOI: 10.1214/AOAP/1060202839
description: scientific article; zbMATH DE number 2061214