[Qualitative study of a mathematical model of the open futile cycle fructose-6-P--fructose-1,6-P2].
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.
D055598:Chemical Phenomena; D002621:Chemistry; D006597:Fructose-Bisphosphatase / Q000378:metabolism; D005635:Fructosediphosphates / Q000378:metabolism; D005636:Fructosephosphates / Q000378:metabolism*; D008433:Mathematics; D008954:Models, Biological; D010732:Phosphofructokinase-1 / Q000378:metabolism
D005635:Fructosediphosphates; D005636:Fructosephosphates; D010732:Phosphofructokinase-1; D006597:Fructose-Bisphosphatase
Kachestvennoe issledovanie matematicheskoĭ modeli otkrytogo futil' nogo tsikla fruktozo-6-F--fruktozo-1,6--f2.