[Autocatalysis in a stoichiometric model of energy metabolism].
A simple kinetic model of the energy metabolism with autocatalytic stoichiometric structure is analysed. The model includes the participation of ATP (a product of energy metabolism) in the activation of oxidation substrate. It is shown that the energy metabolism displays multiple steady states and autooscillations in the absense of all kinds of non-stoichiometric (allosteric, isosteric and cooperative) interactions. The results of the analysis are represented in the form of a parametric portrait. The domains of the parameter values of the oxidation substrate source are separated, which correspond to qualitatively different patterns of the model dynamic behavior. Under specified conditions the model is reduced to various versions of the Lotka model.
D004734:Energy Metabolism; D008433:Mathematics; D008954:Models, Biological
Avtokataliz v stekhiometricheskoĭ modeli énergeticheskogo metabolizma