Before revision:  Saturated networks generalize normal networks by Gnacadja, atomic event-systems by Adleman et al. and constructive networks by Shinar et al. Our result is independent of the specific rates,and the deficiency of the network. The question of permanence for weakly-reversible reaction networks remains an important and long-standing open problem .
After revision:  Saturated networks generalize normal networks by Gnacadja, atomic event-systems by Adleman et al. , and normal networks of Gnacadja. We define "autocatalytic networks," and conjecture that weakly-reversible reaction networks remains an important and long-standing open problem .