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Table 1 Relation between geometry of the nullclines and functionality

From: Specialized or flexible feed-forward loop motifs: a question of topology

Sl.

Relation

Function

Relation

Function

+

S > ϕX = 0> ξ

P -

ξ > S > ϕX = 0

G +

-

S > ϕX = 0> ξ

G -

ξ > S > ϕX = 0

G+ if Z f > Z i else impossible

+

ϕX = 0> ξ > S

P -

ξ > ϕX = 0> S

G +

-

ϕX = 0> ξ > S

G -

ξ > ϕX = 0> S

P +

+

ϕX = 0> S > ξ

G- if Z f <Z i else impossible

S > ξ > ϕX = 0

G +

-

ϕX = 0> S > ξ

G -

S > ξ > ϕX = 0

P +

  1. Possible combinations of nullcline and geometrical elements for the evaluation of the FFL functionality considering αY> 1. 'Sl.' denotes the slope of the nullcline Ż = 0 upon input, Z f is the concentration of protein Z in its equilibrium ϕX > 0and Z i its concentration at the initial point ϕX = 0.