Enumeration of flux routes through complex biochemical reactions

In the present work, a general algorithm for enumeration of the flux routes via which a chemical species "flows" through a complex biochemical reaction is outlined and presented by way of a biological example, a kinetic model for potassium ion permeation through a voltage-gated ion channel. The algorithm is readily amenable to computer based implementation and when used in conjunction with an existing algorithm provides a convenient means for simulation of the equilibrium and steady-state isotope exchange kinetics of complex biochemical reactions.