Frank, Till D.Till D.Frank2013-11-282013-11-282012 Infor2012-01Journal of Nonlinear Mathematical Physicshttp://hdl.handle.net/10197/5002We 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.enThis is an electronic version of an article published in Journal of Nonlinear Mathematical Physics (2012) 19(1): 81-97. Journal of Nonlinear Mathematical Physics is available online at: www.tandfonline.com, DOI: http://dx.doi/org/10.1142/S1402925112500076.Nambu bracketsbiochemical reactionsstoichiometric matrixJournal Article191819710.1142/S14029251125000762013-11-27https://creativecommons.org/licenses/by-nc-nd/3.0/ie/