Formation Mechanism of Growing Random Patterns

我们主要研究了自然界和社会中随机模式的普适结构和统计性质。1.我们已经建立了形态图，细菌种大肠杆菌和铜绿假单胞菌的菌落模式如何改变时，环境条件的变化。我们还研究了周期性菌落生长时细胞密度的时空变化。2.以细菌菌落和真实的景观为例，研究了随机模式生长界面的标度特性，特别是自仿射特性。3.我们已经奠定了这样的基础，即在复杂系统中看到的基本统计方面通常可以用对数正态分布来描述，这是基于我们对都道府县和市的人口、我们的身高和体重等的观察。

We have mainly studied three topics on universal structural and statistical properties of random patterns seen in nature and our society. 1. We have established morphological diagrams on how colony patterns of bacterial species Escherichia coli and Pseudomonas aeruginosa change when environmental conditions vary. We have also studied the spatiotemporal change of cell density when periodic colony growth occurs. 2. We have investigated scaling properties, especially self-affinity, of growing interface of random patterns, by taking bacterial colonies and real landscapes as examples. 3. We have laid the foundation that the fundamental statistical aspects seen in complex systems in general are described by lognormal distributions, based on our observations of prefectural and municipal populations, our body height and weight, and so on.