生长种群的生殖时间统计和分离模式
Reproduction time statistics and segregation patterns in growing populations
摘要：
在纯粹空间有限的种群增长下竞争菌株的微生物菌落的模式形成最近吸引了相当大的研究兴趣。我们表明，个人的繁殖时间统计有显着的影响，分区模式。推广标准的Eden增长模型，引入一个简单的单参数繁殖时间分布族，其指标为变异系数δ \in [0，1]，其中包括确定性分布（δ = 0）和无记忆指数分布（δ = 1）的极端情况.我们提出了令人信服的数值证据和启发式的论点，广义模型仍然是在KPZ普适性类，模式的变化是由于不断变化的前因子的标度关系，我们能够定量预测。在酿酒酵母的例子中，我们表明，我们的方法使用的变异系数也适用于更现实的再现时间分布。
英文摘要：
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 δ \in [0, 1], which includes deterministic (δ = 0) and memoryless exponential distribution (δ = 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.
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