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Journal of Mathematical Chemistry

, Volume 50, Issue 1, pp 1–8 | Cite as

Parametric uniqueness of deficiency zero reaction networks

  • Dávid Csercsik
  • Gábor SzederkényiEmail author
  • Katalin M. Hangos
Brief Communication

Abstract

In this paper it is shown that deficiency zero mass action reaction networks containing one terminal linkage class are parametrically and therefore structurally unique with a fixed complex set. Clearly, weakly reversible deficiency zero networks with one linkage class belong to this class. However, it is shown through an illustrative example that deficiency zero networks with several linkage classes can have multiple dynamically equivalent realizations, even if the individual linkage classes are weakly reversible.

Keywords

Reaction kinetic systems Mass action kinetics Dynamical equivalence 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Dávid Csercsik
    • 1
  • Gábor Szederkényi
    • 1
    Email author
  • Katalin M. Hangos
    • 1
    • 2
  1. 1.Process Control Research Group, Computer and Automation Research InstituteHungarian Academy of SciencesBudapestHungary
  2. 2.Department of Electrical Engineering and Information SystemsUniversity of PannoniaVeszprémHungary

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