MomentClosure.jl

MomentClosure.jl derives time-evolution equations for statistical moments in stochastic chemical reaction networks to enable approximate analysis of stochastic biochemical kinetics.

Key Features:

• Automated Derivation: Generates time-evolution equations for moments up to any specified order.
• Wide Range of Closure Approximations: Implements diverse moment closure approximations essential for stochastic biochemical kinetics.
• Flexibility and Generality: Applicable to any chemical reaction network for analysis of molecular interaction dynamics under uncertainty.
• Automated Functionality: Automates derivation of moment equations and supports closure approximations when exact solutions are infeasible.

Scientific Applications:

• Systems Biology: Provides moment-based approximate analyses of stochastic biochemical systems as an efficient alternative to Monte Carlo simulations.
• Pharmacokinetics: Supports analysis of stochastic molecular interaction dynamics relevant to pharmacokinetic modeling.
• Synthetic Biology: Supports design and analysis of stochastic dynamics in synthetic biology applications.

Methodology:

Derives moment evolution equations from the chemical master equation using moment closure approximations, generating time-evolution equations for moments up to a specified order.