Publications by authors named "Garrett R Dowdy"

Applying the method of moments to the chemical master equation 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.

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Article Synopsis
  • The method of moments offers a way to simplify the chemical master equation used in stochastic chemical kinetics, but it often leads to the closure problem, which leaves approximations without error estimates.
  • Various moment closure schemes have been proposed to address this issue, yet they still lack reliable bounds for the approximations made.
  • This paper introduces a new approach that uses semidefinite programming to determine rigorous bounds on key quantities like mean molecular counts and their variances, providing a more reliable check on moment closure approximations.
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