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Reproduction-time statistics and segregation patterns in growing populations
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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. doi:10.1103/PhysRevE.85.021923 ISSN 1063-651X.
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WRAP_Grosskinsky_Reproduction_1111.2992v1.pdf - Submitted Version - Requires a PDF viewer. Download (743Kb) |
Official URL: http://pre.aps.org/accepted/E/a2070R13Y4210700e87e...
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 | ||||
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Subjects: | Q Science > QR Microbiology | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Research Centres > Centre for Complexity Science Faculty of Science, Engineering and Medicine > Science > Mathematics Faculty of Science, Engineering and Medicine > Science > Physics |
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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 | ||||
Official Date: | 27 February 2012 | ||||
Dates: |
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Volume: | Vol.85 | ||||
Number: | No.2 | ||||
Number of Pages: | 10 | ||||
Page Range: | Article no. 021923 | ||||
DOI: | 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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