Isotope exchange in biochemical networks application of an electric circuit technique to a biological reaction system

Electric circuit techniques are employed to derive the kinetic equations for a class of reactions occurring in complex networks as encountered in cellular systems, namely, exchange at equilibrium. The equations connecting equilibrium velocities with kinetic parameters of individual steps of an enzymatic reaction are derived in three ways : by direct chemical considerations, by showing that a form of Kirchhoff's rules is valid for exchange at equilibrium, and by employing the device known in electricity as the delta-star transformation.