From 2007.igem.org

Bistable behaviour of two repressors, mutually repressing each other

Main page

Back to Algebra page

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

To obtain the bifurcation curve one should plot the second parameter versus the first, varying X from 0 to P+J. 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 - analysis of hysteresis existense

(J,Q)-Cross Section - type of responce at various values of Q