Mathematical Study of Pattern Formation and Information in Biological Systems

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We demonstrated experimentally that the plasmodium of Physarum polycephalum can promote formation of networks equivalent to the transportation network such as railroad system. We presented a new method of network design by constructing mathematical models. Also, we proposed models which describe how information works in the determining process of the geometry of early cleavage and in the formation of branching structure such as lung and blood vessel. We developed mathematical methods that can describe the mechanism combining biological pattern formation and information.