NAMBU BRACKET FORMULATION OF NONLINEAR BIOCHEMICAL REACTIONS BEYOND ELEMENTARY MASS ACTION KINETICS
|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||Online since:||2013-11-28T15:02:45Z||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)||Journal:||Journal of Nonlinear Mathematical Physics||Volume:||19||Issue:||1||Start page:||81||End page:||97||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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