Formation Mechanism of Growing Random Patterns

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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.