Ali A, et al. (2012) Reproduction-time statistics and segregation patterns in growing populations. Phys Rev E Stat Nonlin Soft Matter Phys 85(2-1):021923
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 deltain[0,1], which includes deterministic (delta=0) and memory-less exponential distribution (delta=1) as extreme cases. We present convincing numerical evidence and heuristic arguments that the generalized model is still in the Kardar-Parisi-Zhang (KPZ) universality class, and the changes in patterns are due to changing prefactors in the scaling relations, which we are able to predict quantitatively. With the example of Saccharomyces cerevisiae, we show that our approach using the variation coefficient also works for more realistic reproduction time distributions.
|Status: Published||Type: Journal Article||PubMed ID: 22463260|
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