NAMBU BRACKET FORMULATION OF NONLINEAR BIOCHEMICAL REACTIONS BEYOND ELEMENTARY MASS ACTION KINETICS

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Title: NAMBU BRACKET FORMULATION OF NONLINEAR BIOCHEMICAL REACTIONS BEYOND ELEMENTARY MASS ACTION KINETICS
Authors: Frank, Till D.
Permanent link: http://hdl.handle.net/10197/5002
Date: Jan-2012
Abstract: We develop a Nambu bracket formulation for a wide class of nonlinear biochemical reactions by exploiting previous work that focused on elementary biochemical mass action reactions. To this end, we consider general reaction mechanisms including for example enzyme kinetics. Furthermore, we go beyond elementary reactions and account for reactions involving stoichiometric coefficients different from unity. In particular, we show that the stoichiometric matrix of biochemical reactions can be expressed in terms of Nambu brackets. Finally, we solve the sign problem that arises in the context of coupled biochemical reactions.
Type of material: Journal Article
Publisher: Informa UK (Taylor & Francis)
Copyright (published version): 2012 Informa UK (Taylor & Francis)
Keywords: Nambu brackets;biochemical reactions;stoichiometric matrix
DOI: 10.1142/S1402925112500076
Language: en
Status of Item: Peer reviewed
Appears in Collections:SBI Research Collection

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