Electron transfer networks

Murad Banaji, Stephen Baigent

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Abstract

In this paper we study electron transfer networks. These are generalisations of electron transport chains, and consist of a set of substrates which can exist in reduced and oxidised forms. The reduced forms can transfer electrons to the oxidised forms, and there are some electron inflow and outflow processes. We show that under mild assumptions, such systems can have only very simple behaviour, with a single globally stable equilibrium. To prove this we show that the Jacobian of the system has negative logarithmic norm in an appropriate norm. From this result, uniqueness and global stability of any equilibrium follows. The results extend, with only minor modifcations, to binary interconversion networks, where the only allowed reactions are interconversions between substrates, and inflow/outflow processes.
Original languageEnglish
Pages (from-to)1355-1370
JournalJournal of Mathematical Chemistry
Volume43
Issue number4
Early online date6 Jul 2007
DOIs
Publication statusPublished - May 2008

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