Chemical master equation
= Chemical master equation
{wiki}
For reactions with <stoichiometric vectors> $\nu_r$ and <reaction propensity functions> $a_r$, the probability mass function $p(x,t)$ obeys
$$
\partial_t p(x,t)=\sum_r\left[a_r(x-\nu_r)p(x-\nu_r,t)-a_r(x)p(x,t)\right].
$$
It is the <forward operator of a Markov jump process> equation for the copy-number <continuous-time Markov chain>.