NDLI: Electron transfer networks

Content Provider	Springer Nature Link
Author	Baigent, Stephen Banaji, Murad
Copyright Year	2007
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 modifications, to binary interconversion networks, where the only allowed reactions are interconversions between substrates, and inflow/outflow processes.
Ending Page	1370
Page Count	16
Starting Page	1355
File Format	PDF
ISSN	02599791
e-ISSN	15728897
Journal	Journal of Mathematical Chemistry
Issue Number	4
Volume Number	43
Language	English
Publisher	Springer Netherlands
Publisher Date	2007-07-06
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Theoretical and Computational Chemistry electron transfer Global stability Physical Chemistry Chemical kinetics reaction networks global stability Matrix norms, conditioning, scaling logarithmic norms Math. Applications in Chemistry
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Chemistry

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