Modeling the Genesis of Components in the Networks of Interacting Units

Modeling the Genesis of Components in the Networks of Interacting Units
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DOI:
10.1007/978-94-017-9548-7_84
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发表时间:
2015
期刊:
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影响因子:
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通讯作者:
I. Tsuda;Y. Yamaguti;Hiroshi Watanabe
I. Tsuda;Y. Yamaguti;Hiroshi Watanabe
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文献类型:
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作者:
I. Tsuda;Y. Yamaguti;Hiroshi Watanabe

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从系统开发的角度,我们研究了组件是如何在由交互单元组成的网络系统中出现的。我们提出了两个具有变分原理的数学模型:一个处理从相互作用的映射中出现的类神经元组件,另一个处理从相互作用的类神经元单元中出现的层次化的类模块组件。在这两个模型中,信息的最大传输都被用作“变分”原则。这种类型的数学模型为考虑胚胎和干细胞的细胞分化机制以及大脑的功能分化提供了基础。
From the viewpoint of system development, we investigate how components emerge in a network system consisting of interacting units. We propose two mathematical models with ‘variational’ principles: one treats the emergence of neuron-like components from interacting maps, and the other one treats the emergence of hierarchical module-like components from interacting neuron-like units. In both models, maximum transmission of information was used as a ‘variational’ principle. This type of mathematical model provides a basis for consideration of the mechanism of cell differentiation in embryos and stem cells, and of functional differentiation in the brain.