Stationary Size Distributions of Growing Cells with Binary and Multiple Cell Division

Rading, M. M., Engel, T. A., Lipowsky, R., Valleriani, A. (October 2011) Stationary Size Distributions of Growing Cells with Binary and Multiple Cell Division. Journal of Statistical Physics, 145 (1). pp. 1-22. ISSN 0022-4715

DOI: 10.1007/s10955-011-0305-9


Populations of unicellular organisms that grow under constant environmental conditions are considered theoretically. The size distribution of these cells is calculated analytically, both for the usual process of binary division, in which one mother cell produces always two daughter cells, and for the more complex process of multiple division, in which one mother cell can produce 2(n) daughter cells with n = 1, 2, 3, .... The latter mode of division is inspired by the unicellular algae Chlamydomonas reinhardtii. The uniform response of the whole population to different environmental conditions is encoded in the individual rates of growth and division of the cells. The analytical treatment of the problem is based on size-dependent rules for cell growth and stochastic transition processes for cell division. The comparison between binary and multiple division shows that these different division processes lead to qualitatively different results for the size distribution and the population growth rates.

Item Type: Paper
Uncontrolled Keywords: cell size distribution structured populations multiple cell division stochastic cell division population balance equations chlamydomonas-reinhardtii population balance generation time growth-rate cycle model volume light
Subjects: organs, tissues, organelles, cell types and functions > cell types and functions > cell functions > cell division
CSHL Authors:
Communities: CSHL labs > Engel lab
Depositing User: Matt Covey
Date: October 2011
Date Deposited: 14 Aug 2017 20:25
Last Modified: 14 Aug 2017 20:25

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