  Applying the method of moments to the chemical master equation (CME)
appearing in stochastic chemical kinetics often leads to the so-called closure
problem. Recently, several authors showed that this problem can be partially
overcome using moment-based semidefinite programs (SDPs). In particular, they
showed that moment-based SDPs can be used to calculate rigorous bounds on
various descriptions of the stochastic chemical kinetic system's stationary
distribution(s) -- for example, mean molecular counts, variances in these
counts, and so on. In this paper, we show that these ideas can be extended to
the corresponding dynamic problem, calculating time-varying bounds on the same
descriptions.
