[2] The dynamics of a species is represented by a differential equation with the structure: where Xi represents one of the nd variables of the model (metabolite concentrations, protein concentrations or levels of gene expression).
j represents the nf biochemical processes affecting the dynamics of the species.
j (rate constants) and fjk (kinetic orders) are two different kinds of parameters defining the dynamics of the system.
In this way, power-law models have a higher flexibility to reproduce the non-linearity of biochemical systems.
Models using power-law expansions have been used during the last 35 years to model and analyze several kinds of biochemical systems including metabolic networks, genetic networks and recently in cell signalling.