While noise is generally associated with uncertainties and often has a negative connotation
in engineering, living organisms have evolved to adapt to (and even exploit) such …

The method of moments has been proposed as a potential means to reduce the
dimensionality of the chemical master equation (CME) appearing in stochastic chemical …

Multimodality is a phenomenon which complicates the analysis of statistical data based
exclusively on mean and variance. Here, we present criteria for multimodality in hierarchic …

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 …

Perturbation bounds are powerful tools for investigating the phenomenon of insensitivity to
perturbations, also referred to as stability, for stochastic and deterministic systems. This …

Deterministic and stochastic models of chemical reaction kinetics can give starkly different
results when the deterministic model exhibits more than one stable solution. For example, in …

Many chemical reaction networks in biological systems present complex oscillatory
dynamics. In systems such as regulatory gene networks, cell cycle, and enzymatic …

We present a new method for calculating the time-transient behavior of stochastic reaction
networks. We first derive the set of equations for the moments of the master probability …

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 …

Distributions appear in many forms in models of chemical engineering systems. Such
distributions account for microscopic variability in the system while simultaneously …