Sel'kov E E, Dynnik S N, Kirsta Iu B
Biofizika. 1979 May-Jun;24(3):431-7.
A simple mathematical model of the open futile cycle fructose-6-P in equilibrium fructose-1,6-P2 in which the fructose bisphosphatase reaction is inhibited by excess of its substrate has been analysed. A detailed qualitative investigation of the model shows that it possesses all properties characteristic of any other dynamical system of the second order which has a hysteretic major null-cline, 1 to 3 steady states and is capable of generating self-oscillations.