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Unifying mass-action kinetics and Newtonian mechanics by means of Nambu brackets |
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| Authors: | T D Frank |
| Institution: | (1) UCD School of Physics, University College Dublin, Belfield, Dublin 4, Ireland;(2) Systems Biology Ireland, University College Dublin, Belfield, Dublin 4, Ireland;(3) Center for the Ecological Study of Perception and Action, Department of Psychology, University of Connecticut, 406 Babbidge Road, Storrs, CT, 06269, USA |
| 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. |
| Keywords: | Mass-action kinetics Nambu brackets Divergence of flow fields |
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