Abstract
Amongst the available graph theories the one making use of “bond graphs” has been considered the most suitable in network thermodynamics for representing a wide range of physico-chemical processes in the form of networks. In this article a complete representation of chemical reactions, both far from- and near-equilibrium, by bond graphs, is proposed. In addition, a new proof of the Tellegen theorem is given, derived directly from the properties of bond graphs. A new insight into the general meaning of Tellegen's theorem in variable networks and its relevance to biological networks is thus provided. The structure of the network being represented by new elements — i.e. the junctions — in bond graphs, time variations of these elements have the meaning of changes in the structure itself, to that the Tellegen theorem appears as an invariance relation in networks where the structure is allowed to change.
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