C1 Feed-Forward Loop Motif
Gene Network Architecture — Coherent Type 1 FFL Dynamics
Motif Type
FFL class:
C1 — Coherent (AND)
C2 — Coherent (OR)
I1 — Incoherent (AND)
I4 — Incoherent (OR)
Parameters
Production β_Y:
1.0
Production β_Z:
1.0
Degradation α:
1.0
Activation threshold K:
0.50
Signal step time:
10
▶ Re-run
Steady States
X*
1.00
Y*
—
Z*
—
Delay (ON)
—
Pulse (I1)
—
Theory
dY/dt = β_Y·f_XY(X) − α_Y·Y
dZ/dt = β_Z·f_XZ(X,Y) − α_Z·Z
C1 coherent: X→Y→Z & X→Z (all +)
Role:
delay ON
, quick OFF
I1 incoherent: X→Y−⊣Z & X→Z
Role:
pulse generator
, fold-change detection
Hill activation: f = Xⁿ/(Kⁿ+Xⁿ)