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Estimating the total rate of DNA replication using branching processes

Larsson Lönn, Sara LU ; Rydén, Tobias LU ; Holst, Ulla LU ; Johansson, Maria C LU and Oredsson, Stina LU (2008) In Bulletin of Mathematical Biology 70(8). p.2177-2194
Abstract
Increasing the knowledge of various cell cycle kinetic parameters, such as the length of the cell cycle and its different phases, is of considerable importance for several purposes including tumor diagnostics and treatment in clinical health care and a deepened understanding of tumor growth mechanisms. Of particular interest as a prognostic factor in different cancer forms is the S phase, during which DNA is replicated. In the present paper, we estimate the DNA replication rate and the S phase length from bromodeoxyuridine-DNA flow cytometry data. The mathematical analysis is based on a branching process model, paired with an assumed gamma distribution for the S phase duration, with which the DNA distribution of S phase cells can be... (More)
Increasing the knowledge of various cell cycle kinetic parameters, such as the length of the cell cycle and its different phases, is of considerable importance for several purposes including tumor diagnostics and treatment in clinical health care and a deepened understanding of tumor growth mechanisms. Of particular interest as a prognostic factor in different cancer forms is the S phase, during which DNA is replicated. In the present paper, we estimate the DNA replication rate and the S phase length from bromodeoxyuridine-DNA flow cytometry data. The mathematical analysis is based on a branching process model, paired with an assumed gamma distribution for the S phase duration, with which the DNA distribution of S phase cells can be expressed in terms of the DNA replication rate. Flow cytometry data typically contains rather large measurement variations, however, and we employ nonparametric deconvolution to estimate the underlying DNA distribution of S phase cells; an estimate of the DNA replication rate is then provided by this distribution and the mathematical model. (Less)
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organization
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type
Contribution to journal
publication status
published
subject
in
Bulletin of Mathematical Biology
volume
70
issue
8
pages
2177 - 2194
publisher
Springer
external identifiers
  • wos:000259962900003
  • scopus:53849087811
ISSN
1522-9602
DOI
10.1007/s11538-008-9339-9
language
English
LU publication?
yes
id
aaaecefb-1d83-4664-b710-01c29df8de0d (old id 633097)
alternative location
http://www.ncbi.nlm.nih.gov/pubmed/18818973?dopt=Abstract
date added to LUP
2007-11-29 13:42:29
date last changed
2017-01-01 05:03:21
@article{aaaecefb-1d83-4664-b710-01c29df8de0d,
  abstract     = {Increasing the knowledge of various cell cycle kinetic parameters, such as the length of the cell cycle and its different phases, is of considerable importance for several purposes including tumor diagnostics and treatment in clinical health care and a deepened understanding of tumor growth mechanisms. Of particular interest as a prognostic factor in different cancer forms is the S phase, during which DNA is replicated. In the present paper, we estimate the DNA replication rate and the S phase length from bromodeoxyuridine-DNA flow cytometry data. The mathematical analysis is based on a branching process model, paired with an assumed gamma distribution for the S phase duration, with which the DNA distribution of S phase cells can be expressed in terms of the DNA replication rate. Flow cytometry data typically contains rather large measurement variations, however, and we employ nonparametric deconvolution to estimate the underlying DNA distribution of S phase cells; an estimate of the DNA replication rate is then provided by this distribution and the mathematical model.},
  author       = {Larsson Lönn, Sara and Rydén, Tobias and Holst, Ulla and Johansson, Maria C and Oredsson, Stina},
  issn         = {1522-9602},
  language     = {eng},
  number       = {8},
  pages        = {2177--2194},
  publisher    = {Springer},
  series       = {Bulletin of Mathematical Biology},
  title        = {Estimating the total rate of DNA replication using branching processes},
  url          = {http://dx.doi.org/10.1007/s11538-008-9339-9},
  volume       = {70},
  year         = {2008},
}