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Self-Organization with Constraints-A Mathematical Model for Functional Differentiation

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Title: Self-Organization with Constraints-A Mathematical Model for Functional Differentiation
Authors: Tsuda, Ichiro Browse this author →KAKEN DB
Yamaguti, Yutaka Browse this author
Watanabe, Hiroshi Browse this author
Keywords: self-organization
functional differentiation
chaotic itinerancy
variational principle
cortical organization
Issue Date: Mar-2016
Publisher: MDPI
Journal Title: Entropy
Volume: 18
Issue: 3
Publisher DOI: 10.3390/e18030074
Abstract: This study proposes mathematical models for functional differentiations that are viewed as self-organization with external constraints. From the viewpoint of system development, the present study investigates how system components emerge under the presence of constraints that act on a whole system. Cell differentiation in embryos and functional differentiation in cortical modules are typical examples of this phenomenon. In this paper, as case studies, we deal with three mathematical models that yielded components via such global constraints: the genesis of neuronal elements, the genesis of functional modules, and the genesis of neuronal interactions. The overall development of a system may follow a certain variational principle.
Type: article
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 津田 一郎

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