 Translational burst size

The expected number of proteins produced by one messenger RNA before its removal. With biological translation rate $r$ and exponential removal rate ${\alpha }_R$, $b=r/{\alpha }_R$. Independent Poisson biological translation during an exponential lifetime yields a geometric burst count on nonnegative integers, with variance $b(1+b)$. In the short-message-lifetime limit with independent unit protein removal, the protein Fano factor tends to $1+b$.