From 2007.igem.org

Bistable behaviour of two repressors, mutually repressing each other

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Bifurcation set in (J, P) cross section is given by the following parametric equations:

The cusp is located as shown in the figure below. While Q is increasing the cusp tip moves right and upwards.

Important findings:

At constant value of Q and increasing values of P the behaviour changes in the following way:

• Small P – monostable behaviour

• Intermediate P – Shmitt trigger/comparator

• Large P – true trigger (sensitivity increase as P increase)

• Very large P – monostable behaviour

See also:

(P,Q)-Cross Section

(J,Q)-Cross Section