The linear cell-size-dependent branching process
- 1 March 1972
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 9 (04) , 687-696
- https://doi.org/10.1017/s0021900200036081
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.Keywords
This publication has 7 references indexed in Scilit:
- Solution to a mathematical model of cell growth, division, and deathMathematical Biosciences, 1970
- An Age-Dependent Branching Process with Correlations Among Sister CellsJournal of Applied Probability, 1969
- The distribution of inanimate marks over a non-homogeneous birth-death processBiometrika, 1969
- Statistics and dynamics of procaryotic cell populationsMathematical Biosciences, 1967
- Cell Growth and DivisionBiophysical Journal, 1967
- SOME FEATURES OF THE GENERATION TIMES OF INDIVIDUAL BACTERIABiometrika, 1955
- ON THE ROLE OF VARIABLE GENERATION TIME IN THE DEVELOPMENT OF A STOCHASTIC BIRTH PROCESSBiometrika, 1948