Equilibria for Large Metabolic Systems and the LIFE Approach

In a recent paper [9] the authors introduced a new methodology for the simulation and control of large metabolic systems called LIFE (Linear-in-Flux-Expressions). In many metabolic networks encountered in Quantitative Systems Pharmacology, the corresponding ODE systems are linear in the fluxes among metabolites, but not necessarily in the metabolites themselves. Therefore the method consists in looking for equilibria in the flux space for fixed metabolite levels. This naturally defines a map from the space of metabolites into the Grassmannian, which associates every metabolite level to a kernel of the space of fluxes. We study problems related to this map, in particular looking for metabolite levels whose kernels have non trivial intersections.

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