Formation Mechanism of Growing Random Patterns

我们主要研究了自然和社会中随机模式的普遍结构和统计性质三个主题。1. 我们建立了大肠杆菌和铜绿假单胞菌菌落模式随环境条件变化的形态学图。我们还研究了周期性集落生长时细胞密度的时空变化。2. 我们以细菌菌落和真实景观为例，研究了随机模式生长界面的尺度特性，特别是自亲和性。3. 我们已经奠定了基础，在复杂系统中看到的基本统计方面通常是由对数正态分布描述的，基于我们对县和市人口的观察，我们的身高和体重，等等。

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.