ZI-Closure Scheme: A Method to Solve and Study Stochastic Reaction Networks

  • M. Vlysidis
  • P. H. Constantino
  • Y. N. Kaznessis


We use an example to present in exhaustive detail the algorithmic steps of the zero-information (ZI) closure scheme (Smadbeck and Kaznessis, Proc Natl Acad Sci USA 110:14261–14265, 2013). ZI-closure is a method for solving the chemical master equation (CME) of stochastic chemical reaction networks.



This work was supported by a grant from the National Institutes of Health (GM111358) and a grant from the National Science Foundation (CBET-1412283). This work utilized the high-performance computational resources of the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation grant number ACI-1053575. Support from the University of Minnesota Digital Technology Center, from the Minnesota Supercomputing Institute (MSI), and from CAPES—Coordenaçäo de Aperfeiçoamento de Pessoal de Nível Superior—Brazil is gratefully acknowledged. This work was partially completed Spring 2016, when YNK was Visiting Scholar at the Isaac Newton Institute of Mathematical Sciences at the University of Cambridge, attending the programme Stochastic Dynamical Systems in Biology.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • M. Vlysidis
    • 1
  • P. H. Constantino
    • 1
  • Y. N. Kaznessis
    • 1
  1. 1.Department of Chemical Engineering and Materials ScienceUniversity of MinnesotaMinneapolisUSA

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