Core growth asymptotics and characteristic core sizes.

The table catalogues the asymptotic behaviour of ℓ(t) (from [17]) along with the expected scaling of the characteristic clone size χas, omitting distance and time scales for ℓ and t respectively. W is the Lambert W-function, Bμ ≈ 2d log(2)/(μ − d)2, and η = log[2d/(d + μ)]/log 2. The subscript in χas indicates that the asymptotic ℓ(t) was used as opposed to the more accurate functions listed in S1 Appendix, Section A. Note that for values of μ near d, the asymptotic growth forms are of limited value since the time befor the asymptotics is reached becomes very large. In this situation, χ must be computed using the more accurate scaling forms, see S1 Appendix, Section A for more details.