dorsal/arxiv
View SchemaChemical organization theory: towards a theory of constructive dynamical systems
| Authors | Peter Dittrich, Pietro Speroni di Fenizio |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0501016 |
| URL | https://arxiv.org/abs/q-bio/0501016 |
| DOI | 10.1007/s11538-006-9130-8 |
| Journal | Bull. Math. Biol., 69(4):1199-1231, 2007 |
Abstract
Complex dynamical networks consisting of many components that interact and produce each other are difficult to understand, especially, when new components may appear. In this paper we outline a theory to deal with such systems. The theory consists of two parts. The first part introduces the concept of a chemical organization as a closed and mass-maintaining set of components. This concept allows to map a complex (reaction) network to the set of organizations, providing a new view on the system's structure. The second part connects dynamics with the set of organizations, which allows to map a movement of the system in state space to a movement in the set of organizations.
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"abstract": "Complex dynamical networks consisting of many components that interact and\nproduce each other are difficult to understand, especially, when new components\nmay appear. In this paper we outline a theory to deal with such systems. The\ntheory consists of two parts. The first part introduces the concept of a\nchemical organization as a closed and mass-maintaining set of components. This\nconcept allows to map a complex (reaction) network to the set of organizations,\nproviding a new view on the system\u0027s structure. The second part connects\ndynamics with the set of organizations, which allows to map a movement of the\nsystem in state space to a movement in the set of organizations.",
"arxiv_id": "q-bio/0501016",
"authors": [
"Peter Dittrich",
"Pietro Speroni di Fenizio"
],
"categories": [
"q-bio.MN"
],
"doi": "10.1007/s11538-006-9130-8",
"journal_ref": "Bull. Math. Biol., 69(4):1199-1231, 2007",
"title": "Chemical organization theory: towards a theory of constructive dynamical systems",
"url": "https://arxiv.org/abs/q-bio/0501016"
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