Ali, Adnan, Somfai, Ellák and Grosskinsky, Stefan. (2012) Reproduction-time statistics and segregation patterns in growing populations. Physical Review E, Vol.85 (No.2). Article no. 021923. ISSN 1063-651X

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Abstract

Pattern formation in microbial colonies of competing strains under purely space-limited population growth has recently attracted considerable research interest. We show that the reproduction time statistics of individuals has a significant impact on the sectoring patterns. Generalizing the standard Eden growth model, we introduce a simple one-parameter family of reproduction time distributions indexed by the variation coefficient d [0,1], which includes deterministic (d = 0) and memory-less exponential distribution (d = 1) as extreme cases. We present convincing numerical evidence and heuristic arguments that the generalized model is still in the KPZ universality class, and the changes in patterns are due to changing prefactors in the scaling relations, which we are able to predict quantitatively. At the example of Saccharomyces cerevisiae, we show that our approach using the variation coefficient also works for more realistic reproduction time distributions.

Item Type:	Journal Article
Subjects:	Q Science > QR Microbiology
Divisions:	Faculty of Science > Centre for Complexity Science Faculty of Science > Mathematics Faculty of Science > Physics
Library of Congress Subject Headings (LCSH):	Microorganisms -- Mathematical models, Microorganisms -- Reproduction, Microorganisms -- Growth
Journal or Publication Title:	Physical Review E
Publisher:	American Physical Society
ISSN:	1063-651X
Date:	27 February 2012
Volume:	Vol.85
Number:	No.2
Number of Pages:	10
Page Range:	Article no. 021923
Identification Number:	10.1103/PhysRevE.85.021923
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	Engineering and Physical Sciences Research Council (EPSRC)
Grant number:	EP/E501311/1 (EPSRC)
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URI:	http://wrap.warwick.ac.uk/id/eprint/41609

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