A stochastic model of cell division (with application to fission yeast)
type: Item
instance of: scholarly article
title: A stochastic model of cell division (with application to fission yeast)
zbMATH Open document ID: 0617.92011
DOI: 10.1016/0025-5564(87)90090-3
author: Wolfgang Alt
author: John J. Tyson
published in: Mathematical Biosciences
publication date: 1987-01-01T00:00:00Z
review text: During steady-state asynchronous growth and division of cells in culture, there is considerable variation in the size of age of cells at division. We attribute this variability to stochastic fluctuations in the rates of synthesis and degradation of a division-activator protein. We show that the probability density functions for size and age at division are approximately gaussian with means and variances specified in terms of N (the total number of activator molecules in a dividing cell), \(\lambda\) (the first-order rate constant for activator degradation), and r (the specific growth rate of the cells). By comparing theoretical distributions with experimental histograms for dividing yeast cells, we conclude that in fission yeast \(N\cong 220\) and \(\lambda\) /r\(\cong 8\).
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 60J85
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 4001928
zbMATH Keywords: fission yeast
zbMATH Keywords: DNA-division
zbMATH Keywords: biochemistry
zbMATH Keywords: diffusion approximation
zbMATH Keywords: stopping-time distributions
zbMATH Keywords: birth processes
zbMATH Keywords: eukaryotes
zbMATH Keywords: growth and division of cells in culture
zbMATH Keywords: synthesis
zbMATH Keywords: degradation
zbMATH Keywords: division-activator protein
MaRDI profile type: Publication
full work available at URL: 0025-5564(87)90090-3
OpenAlex ID: W2027346734
cites work: ON THE ROLE OF VARIABLE GENERATION TIME IN THE DEVELOPMENT OF A STOCHASTIC BIRTH PROCESS
cites work: Q3903082
cites work: Globally asymptotic properties of proliferating cell populations
cites work: Q3721531
cites work: Q3895284
description: scientific article; zbMATH DE number 4001928