NAMBU BRACKET FORMULATION OF NONLINEARBIOCHEMICAL REACTIONS BEYOND ELEMENTARYMASS ACTION KINETICS

T. D. FRANK

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NAMBU BRACKET FORMULATION OF NONLINEARBIOCHEMICAL REACTIONS BEYOND ELEMENTARYMASS ACTION KINETICS

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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 Narnbu brackets. Finally, we solve the sign problem that arises in the context of coupled biochemical reactions.

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《Journal of nonlinear mathematical physics》 |2012年第1期|1250007:1-1250007:17|共11页
作者
T. D. FRANK;
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作者单位

UCD School of Physics, University College DublinBelfield, Dublin .4, Ireland;

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正文语种英语
中图分类理论物理学;
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Nambu brackets; biochemical reactions; stoichiometric matrix;

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NAMBU BRACKET FORMULATION OF NONLINEARBIOCHEMICAL REACTIONS BEYOND ELEMENTARYMASS ACTION KINETICS

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