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Mathematical tools for modeling complex systems. (Outils mathématiques pour modéliser les systèmes complexes.) (French) Zbl 0766.92001

This paper provides a description for mathematicians of a model for complex biological systems that have memory. The model is based upon category theory, using in particular fibrations, sketches and completions. The paper gives the relevant definitions and shows how they can be combined to model a system that is able to piece together its experiences.
A presentation for non-mathematicians was given in the authors’ paper, Bull. Math. Biol. 49, 13–50 (1987; Zbl 0619.92001).

MSC:

92B05 General biology and biomathematics
92B99 Mathematical biology in general
18B99 Special categories
18B15 Embedding theorems, universal categories
93A13 Hierarchical systems
93A30 Mathematical modelling of systems (MSC2010)

Citations:

Zbl 0619.92001
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References:

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