Abstract
Three situations which appear in the integration of membrane equations in the presence of biasing flows and/or chemical reaction coupling are treated here as a problem of finding balanced forces which obey the equilibrium principle of D'Alembert inside the membrane. Network thermodynamics is introduced as an aid in solving specific chemical reaction-diffusion couplings, convection-diffusion-reaction coupling and non-equilibrium problems. These networks are derived by introducing a technique for finding reversible mass action Hill graphs from irreversible graphs. Explicit global equations are obtained using this approach. Extension to the non-equilibrium case are given in the form of transmission-like equations.
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