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Empirical functions, such asn ∞ (V ) and τn (V ) (of the Hodgkin-Huxley type), can be recast in terms of more fundamental functionsF (V ) (related to a conformational free energy change) and θ(V ) (related to the corresponding free energies of activation). Examples ofF (V ) and θ(V ) are given, for squid and frog node.F (V ) is essentially a quadratic function ofV . The possible molecular origin, for protein-like subunits, of the linear (e.g., net charge) and quadratic (e.g., polarizability) terms inF (V ) is discussed. TheF (V ), θ(V ) kind of analysis leads rather automatically to a simple explanation of the well-known approximate coincidence in location (V value) of the maximum in τn (V ) (time constant) and the steeply rising part ofn ∞ (V ) (alsom , 1 -h ).

On the Theory of Ion Transport Across the Nerve Membrane, VI. Free Energy and Activation Free Energies of Conformational Change