Conditions for duality between fluxes and concentrations in biochemical networks.

ABSTRACT: Mathematical and computational modelling of biochemical networks is often done in terms of either the concentrations of molecular species or the fluxes of biochemical reactions. When is mathematical modelling from either perspective equivalent to the other? Mathematical duality translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one manner. We present a novel stoichiometric condition that is necessary and sufficient for duality between unidirectional fluxes and concentrations. Our numerical experiments, with computational models derived from a range of genome-scale biochemical networks, suggest that this flux-concentration duality is a pervasive property of biochemical networks. We also provide a combinatorial characterisation t

SUBMITTER: Fleming RMT 

PROVIDER: S-EPMC5048525 | biostudies-literature | 2016 Nov

REPOSITORIES: biostudies-literature