Abstract
In a previous publication (Horn & Jackson 1972) there was defined a class of open reaction systems, calledquasi-thermodynamic mass-action systems,whose statics and dynamics exhibit a regularity similar to that which can be found with closed systems. For instance, it was shown that in quasi-thermodynamic systems all equilibria areasymptotically stableand satisfy conditions of existence and uniqueness relative to certain subsets of the composition space. In this paper quasi-thermodynamic behaviour is related to the properties of a digraph (‘reaction diagram ’) and a set of vectors (‘complexes’) that may be associated with certain open reaction systems. The results presented allow the determination of the qualitative statics and dynamics of a large class of open reaction systems by simple computational procedures.
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More From: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
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