Before revision:  For example: the motifs in Feliu-Wiuf'12 , sequential distributive multisite phosphorylation networks, sequential processive multisite phosphorylation networks, most of the examples in Angeli et al. '07 , phosphorylation cascades, two component systems as in Kothamachu et al. '15 , the bacterial EnvZ/OmpR network in Shinar-Feinberg'10 and  all linear networks.
After revision:  For example: the motifs in Feliu-Wiuf'12 , sequential distributive multisite phosphorylation networks, sequential processive multisite phosphorylation networks, most of the examples in Angeli et al. '07 , phosphorylation cascades, two component systems as in Kothamachu et al. '15 , the bacterial EnvZ/OmpR network in Shinar and Feinberg (2010) all linear networks.