Stochasticity in the dynamics of small reacting systems requires discrete-probabilistic models of reaction kinetics instead of traditional continuous-deterministic ones. The master probability equation is a complete model of randomly evolving molecular populations. Because of its ambitious character, the master equation remained unsolved for all but the simplest of molecular interaction networks. With the first solution of chemical master equations (CMEs), a wide range of experimental observations of small-system interactions may be mathematically conceptualized.
Bibliographical noteFunding Information:
This work was supported by a grant from the National Institutes of Health (American Recovery and Reinvestment Act grant GM086865 ) and a grant from the National Science Foundation ( CBET-0644792 ) with computational support from the Minnesota Supercomputing Institute (MSI) . Support from the University of Minnesota Digital Technology Center and the University of Minnesota Biotechnology Institute is also acknowledged.
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