Abstract
Open reaction systems which are of the quasi-thermodynamic type exhibit a certain dynamic regularity, e.g. asymptotic stability for steady states in which all concentrations are positive (Horn & Jackson 1972). In this paper it is shown that with certain open reaction systems there may be associated a graph, called the complex graph , such that the non-existence of ‘even cycles’ and ‘odd dumbbells’ in that graph ensures quasi-thermodynamic behaviour for the underlying open system. Furthermore, an introduction is given to the combinatorial analysis of open reaction systems.
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More From: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
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