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Unifying mass-action kinetics and Newtonian mechanics by means of Nambu brackets

Identifieur interne : 000662 ( Pmc/Corpus ); précédent : 000661; suivant : 000663

Unifying mass-action kinetics and Newtonian mechanics by means of Nambu brackets

Auteurs : T. D. Frank

Source :

RBID : PMC:3169697

Abstract

We demonstrate that elementary biochemical reactions defined by mass-action kinetics satisfy a particular Nambu structure. To this end, we express biochemical reaction equations in terms of Nambu brackets and certain ω-factors. The ω-factors account for the fact that mass-action kinetics exhibits in general flow fields with finite divergence. The proposed approach by means of Nambu brackets and ω-factors unifies divergence freeflow fields of Newtonian mechanics and flow fields with finite divergence of mass-action kinetics.


Url:
DOI: 10.1007/s10867-011-9230-z
PubMed: 22942482
PubMed Central: 3169697

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