Gene Regulatory Network Motifs

Type-1 Coherent Feedforward Loop (C1-FFL): sign-sensitive delay & pulse generation

Motif Type

Parameters

Theory

dX/dt = αX·S_X − βX·X
dY/dt = αY·f(X) − βY·Y
dZ/dt = αZ·g(X,Y) − βZ·Z
C1-FFL: X activates both Y and Z; Y also activates Z (AND/OR gate). The delay through the Y arm creates sign-sensitive delay: fast response to activation, slow response to deactivation (AND) — or pulse on step-down (OR). Hill function f(u)=uⁿ/(Kⁿ+uⁿ).