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[Mathematical model for an evolutive and hierarchical living system, based on the theory of categories].

作者信息

Ehresmann A C, Vanbremeersch J P

出版信息

C R Acad Sci III. 1986;302(13):475-8.

PMID:3087593
Abstract

The notion of an evolutive hierarchical system proposed here retains the following characteristics of some natural systems, like living organisms: they have an internal organization consisting of more or less complex components with interrelations; they maintain their organization in time although their components are changing; they may be studied at several complexity levels (e.g., molecular, cellular, ...). The idea is to model the state of the system at a given instant by a category, the state transition by a functor, a complex object by the (direct) limit of a pattern of linked objects (its own organization). The emergence of new properties for a complex object is measured, and a development process is described.

摘要

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引用本文的文献

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Hierarchical evolutive systems: a mathematical model for complex systems.
Bull Math Biol. 1987;49(1):13-50. doi: 10.1007/BF02459958.