-[*The chemical master equation*](https://en.wikipedia.org/wiki/Master_equation) (CME) describes the time development of this distribution[^1]. In fact, this equation is at the core of chemical reaction network kinetics, with all other approaches (such as ODE, SDE, and Jump simulations) being derived as various approximations of it. The CME is a system of ODEs, with one variable *for each possible state of the system*. Each of the ODE's variables describes (the rate of change in) the probability of the system being in that state. For a system with a single species $X$, the CME looks like
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