Stochastic approximation of high-molecular by bi-molecular reactions
Biochemical networks, under mass-action kinetics, containing reactions with
three or more reactants (called high-molecular reactions) are investigated. An
algorithm for stochastically approximating the high-molecular reactions with a
set of bi-molecular ones, involving at most two reactants, is presented.
Properties of the algorithm and convergence are established by applying
singular perturbation theory on the underlying chemical master equation. The
algorithm is applied to a variety of examples from both systems and synthetic
biology, demonstrating that biochemically plausible bi-molecular reaction
networks may display a variety of noise-induced phenomena, and may be designed
in a systematic manner.