By S Cortassa; et al
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Extra info for An introduction to metabolic and cellular engineering
7. Thermodynamic performance of metabolic pathways with different topologies and feedback mechanisms as a function of the rate of substrate uptake by the cell. The putative advantage of oscillatory dynamics on thermodynamic performance was investigated on three different metabolic pathways: (A-B) A stoichiometric model of glycolysis in which the nonlinear mechanism is the autocatalytic feedback exerted on glucose phosphorylation by the stoichiometry of the ATP production of the anaerobic functioning of the glycolytic pathway.
The putative trajectories followed by system's dynamics are emphasized by arrows as well as the separatrices between basins. The homeodynamic condition implies that the system's dynamics visualised as a fluid flowing around itself, may shift between attractors at bifurcation points where stability is lost. The upper left 3-dimensional (3D) plot shows saddle and fixed points; the latter with different values, each one representing a different branch of steady states. Alternative occupancies of these states, following the change of a bifurcation parameter, gives a bistable switch with memory-like features.
This is clearly the case for a spatially highly interconnected and dynamically coupled system with massive occurrence of sequential and parallel processing such as a cell. The consequences of the temporal scaling for cell function are diverse and important: (i) In coupled processes, a variable in one dynamic subsystem because of its fast relaxation toward perturbations may act as a parameter of another dynamic subsystem that relaxes slowly (Bertalanffy, 1950; Aon and Cortassa, 1997). (ii) Significant simplifications through reduction in the number of variables may be achieved by analysis of relaxation times.
An introduction to metabolic and cellular engineering by S Cortassa; et al