Table 3.

Exact adaptive behaviour of classes of circuits considered in the text to different stimuli

	Feedback	Incoherent Feedforward	Inflow-outflow	Other
Ramp	No (unless zeroth order reaction present*)	Yes (no saturation of feedforward legs), also threshold/saturation model	Yes, provided signal doesnt act on output. Further restrictions if there are multiple outflow variables	Yes
Periodic stimulus (mean value)	No (unless zeroth order reaction present*)	No	Yes if only one outflow. Restrictions on signal location for multiple outflow variables	Yes
Static gradient (mean value)	No (unless zeroth order reaction is present, not studied)	No (but see hybrid case in Table 2)	Yes for one outflow variable, for some species diffusible; further restrictions on signal location for two outflow variables	No
Spatio temporal periodic stimuli	No (not discused)	No	Travelling wave but not standing wave	Both Travelling and standing wave (almost exact: see text for details)

Note that for the purposes of this table, circuits with zeroth order reaction (apart from incoherent feedforward circuits whose legs may be regulated by zeroth order reaction), including closed systems (eg. DR08.M4), are classified with inflow-outflow circuits