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Estimating the total rate of DNA replication using branching processes

  • Sara Larsson
  • Tobias Rydén
  • Ulla Holst
  • Maria C Johansson
  • Stina Oredsson
Publishing year: 2008
Language: English
Pages: 2177-2194
Publication/Series: Bulletin of Mathematical Biology
Volume: 70
Issue: 8
Document type: Journal article
Publisher: Springer

Abstract english

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.


  • Cancer and Oncology


  • ISSN: 1522-9602
Stina Oredsson
E-mail: stina [dot] oredsson [at] biol [dot] lu [dot] se


Functional zoology

+46 46 222 94 97



Principal investigator

LUCC - Lund University Cancer Centre

Research group

Animal Physiology


Cell proliferation

Doctoral students and postdocs

PhD Students, main supervisor

Wendy Soria Sotillo

PhD Students, assistant supervisor

Atena Malakpour Permlid