Chemical systems consisting only of elementary steps – a paradigma for nonlinear behavior
 Thomas Wilhelm
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We present a new analytic method which allows one to interpret a mass‐action kinetic reaction of arbitrary molecularity as the limit case of a sequence of bimolecular steps. Together with other technics (transformation of an arbitrary ODE into a polynomial ODE [8]; transformation of a polynomial ODE into a form which can be interpreted as a mass‐action kinetic system [10]), it is thus possible to construct an at most bimolecular mass‐action kinetic system with the same dynamic behavior as an arbitrary ODE. Furthermore, we demonstrate necessary improvements of the transformation given in [10]. Is is also shown that an arbitrary single mass‐action kinetic reaction can be understood as a sequence of two reactions with a short‐living intermediate. In particular, it therefore follows that an autocatalytic reaction can always be approximated by two nonautocatalytic ones without changing the dynamics of the whole system.
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 Title
 Chemical systems consisting only of elementary steps – a paradigma for nonlinear behavior
 Journal

Journal of Mathematical Chemistry
Volume 27, Issue 12 , pp 7188
 Cover Date
 20001001
 DOI
 10.1023/A:1019131221994
 Print ISSN
 02599791
 Online ISSN
 15728897
 Publisher
 Kluwer Academic PublishersPlenum Publishers
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