The linear cell-size-dependent branching process-Reference-Cited by-同舟云学术

The linear cell-size-dependent branching process

Published:1972-12 Issue:04 Volume:9 Page:687-696
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:J. Appl. Probab.

Author:

Clifford Peter,Sudbury Aidan

Abstract

In this paper is developed a theory of branching processes in which the division probability and rate of growth of cells depend only on their ‘size’ and in which ‘size’ is shared between daughters. Specific results are obtained in a linear case including the calculation of the correlation coefficient for the life spans of sisters.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference10 articles.

1. ON THE ROLE OF VARIABLE GENERATION TIME IN THE DEVELOPMENT OF A STOCHASTIC BIRTH PROCESS

2. An Age-Dependent Branching Process with Correlations Among Sister Cells

3. The distribution of inanimate marks over a non-homogeneous birth-death process

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1. Stochastic models in cell kinetics;Journal of Applied Probability;1988

2. The expected population size in a cell-size-dependent branching process;Journal of Applied Probability;1981-03

3. On the distribution of inanimate marks over a linear birth-and-death process;Journal of Applied Probability;1974-09

4. Asymptotic growth of a class of size-and-age-dependent birth processes;Journal of Applied Probability;1974-06

5. Some results for general cell-size-dependent branching processes;Journal of Applied Probability;1973-06