TABLE 1.

Summary of a few models of the E. coli cell cycle.

Model	Definition	Control parameters	Agreement with the adder principle	ρ i	ρ d	ρ id
sHC (Si et al., 2019)	Sd = si exp(λτcyc)	τcyc, si	Requires presence of cross- or auto-correlations between control parameters.	ρ i	$\frac{{\mathrm{\rho }}_i\mathrm{\eta }_i{}^2+{\mathrm{\rho }}_{\mathrm{\alpha }}\mathrm{\eta }_{\mathrm{\alpha }}{}^2+{\mathrm{\rho }}_i{\mathrm{\rho }}_{\mathrm{\alpha }}\mathrm{\eta }_i{}^2\mathrm{\eta }_{\mathrm{\alpha }}{}^2}{\mathrm{\eta }_i{}^2+\mathrm{\eta }_{\mathrm{\alpha }}{}^2+\mathrm{\eta }_i{}^2\mathrm{\eta }_{\mathrm{\alpha }}{}^2}$	$\frac{{\mathrm{\eta }}_i}{\sqrt{\mathrm{\eta }_i{}^2+\mathrm{\eta }_{\mathrm{\alpha }}{}^2+\mathrm{\eta }_i{}^2\mathrm{\eta }_{\mathrm{\alpha }}{}^2}}$
IA (Ho and Amir, 2015)	si(n+1) − si(n)/2 = δii Sd = si exp(λτcyc)	τcyc, δii	Only when λτcyc is non-stochastic.	1/2	$\frac{1}{2}\frac{\mathrm{\eta }_i{}^2}{\mathrm{\eta }_i{}^2+\mathrm{\eta }_{\mathrm{\alpha }}{}^2+\mathrm{\eta }_i{}^2\mathrm{\eta }_{\mathrm{\alpha }}{}^2}$	$\frac{{\mathrm{\eta }}_i}{\sqrt{\mathrm{\eta }_i{}^2+\mathrm{\eta }_{\mathrm{\alpha }}{}^2+\mathrm{\eta }_i{}^2\mathrm{\eta }_{\mathrm{\alpha }}{}^2}}$
CCCP (Micali et al., 2018)	ln(si(n+1)) = ln(si(n))/2 + A ln(SR) = ln(si) + λC ln(SH) = ln(SH)/2 + B ln(Sd) = max(ln(SR), ln(SH))	A, B, C	Yes (by adjusting f, σH and σR).	1/2	$\frac{\mathrm{\sigma }_H{}^2{f}^2/2+\mathrm{\sigma }_i{}^2{(1-f)}^2/2}{\mathrm{\sigma }_H{}^{2}f+\mathrm{\sigma }_R{}^2(1-f)+f(1-f){({\mathrm{\mu }}_H-{\mathrm{\mu }}_R)}^2}$	$\frac{(1-f){\mathrm{\sigma }}_i}{\sqrt{\mathrm{\sigma }_H{}^{2}f+\mathrm{\sigma }_R{}^2(1-f)+f(1-f){({\mathrm{\mu }}_H-{\mathrm{\mu }}_R)}^2}}$
IDA (Si et al., 2019)	si(n+1) − si(n)/2 = δii Sd(n+1) − Sd(n)/2 = Δd	δii, Δd	Yes.	1/2	1/2	0
RDA (Witz et al., 2019)	si(n+1) − si(n)/2 = δii Sd(n+1) − si(n) = 2δid	δii, δid	Only when δid is non-stochastic.	1/2	$\frac{1}{2}{\left(1+3\frac{\mathrm{\sigma }_{id}{}^2}{\mathrm{\sigma }_{ii}{}^2}\right)}^{-1}$	${\left(1+3\frac{\mathrm{\sigma }_{id}{}^2}{\mathrm{\sigma }_{ii}{}^2}\right)}^{-1/2}$

The definition column indicates the equations defining the division and replication cycles. The control parameters are summarized in the next column. In the three rightmost columns we give the three correlations ρ_i, ρ_d, and ρ_id. We have used the following variables: (i) σ_ii²: variance of δ_ii, (ii) σ_id²: variance of δ_id, (iii) μ_i: mean of s_i, (iv) σ_i²: variance of s_i, (v) μ_α: mean of α=exp(λτ_cyc), (vi) σ_α²: variance of α, (vii) η_i=σ_i/μ_i is the coefficient of variation (CV) of s_i, (viii) η_α=σ_α/μ_α is the CV of α, (ix) μ_H: mean of ln(S_H), (x) σ_H²: variance of ln(S_H), (xi) μ_R: mean of ln(S_R), (xii) σ_R²: variance of ln(S_R).