Appendix 5—table 7. A comparison of the pathway-reporter method and dual-reporter method for the multiscale model with Erlang-distributed maturation times and cell-cycle effects (Case (4)A).

Here, the time to maturation, $T_{\mathrm{mat}}$, is chosen to be consistent with the mean of the stochastic maturation time used in our other models (where the maturation time is exponentially distributed). Specifically, we choose ${\displaystyle T_{\mathrm{m}\mathrm{a}\mathrm{t}}\sim \mathrm{E}\mathrm{r}\mathrm{l}\mathrm{a}\mathrm{n}\mathrm{g}(3,60)}$, with mean length $3/60=0.05$, matching our earlier benchmarking using exponentially-distributed maturation time, with mean length 0.05. We consider the rate parameters for the remaining exponentially distributed times to be constant, that is, there is no extrinsic noise beyond that contributed by the cell-cycle effects.

Parameters					Simulation
(r)1-5 ${\lambda }_1$	${\mu }_1$	${\lambda }_2=K_N$	$K_P$	${\delta }_P$	Pr (MP)	Pr (NP)	DR (Mat)
2	2	400	2	0.1	$0.04\pm 0.01$	$0.02\pm 0.001$	$0.04\pm 0.01$
4	20	1210	2	0.1	$0.02\pm 0.003$	$0.01\pm 0.01$	$0.02\pm 0.01$