Bifurcation Diagram (CDK1 vs Production Rate)
Cell Cycle Biology & Model
Mutual inhibition ODE:
ẋ = α - δx - x·w^n/(K^n+w^n)
ẇ = β - γw - w·x^n/(J^n+x^n)
CDK1 activates → Wee1 inhibits CDK1
Bistability condition:
Steep Hill kinetics (n≥4) + feedback
→ S-shaped nullclines → 3 fixed points
Oscillation: limit cycle wraps both states
CDK1 activity—
Wee1 activity—
Phase—
Cycle period—