Chemical organization theory: towards a theory of constructive dynamical systems

Details Chemical organization theory: towards a theory of constructive dynamical systems Chemical organization theory: towards a theory of constructive dynamical systems

2005-01-12

arxiv.org/abs/q-bio/0501016v1

Bull. Math. Biol., 69(4):1199-1231, 2007

Biology

Quantitative Biology

Molecular Networks

20 pages, 4 figures

Scientific paper

10.1007/s11538-006-9130-8

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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