title: Solution of Chemical Master Equations for Nonlinear Stochastic Reaction Networks.
abstract: 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, a wide range of experimental observations of small-system interactions may be mathematically conceptualized.
authors.affiliation: Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN 55455, USA.
authors.forename: Patrick
authors.initials: P
authors.lastname: Smadbeck
authors.affiliation: Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN 55455, USA.
authors.forename: Yiannis N
authors.initials: YN
authors.lastname: Kaznessis
keywords: Chemical Master Equation; Closure Scheme; Stochastic Reaction Networks