Energy transfer as parametric excitation: an examination of nonlinearity in enzymatic reaction, nerve conduction, muscle contraction, electron tunneling, and electron transfer.

Abstract

Chemical parametric excitation is presented as the fundamental mechanism of energy transfer. Together with the Franck-Condon principle, it provides a mechanically sound explanation for enzymatic reaction, nerve excitation, muscle contraction, and electron transfer at a basic level. Intermediate between macroscopic models of membrane asymmetry and molecular models, the new model rests on a systematic approach, proposed here, to organizational aspects of the energy transfer processes. In support, a derivation is given of the chemical analog of the Manley-Rowe power conservation relations for parametrically excited electrical networks. This extension to chemical systems indicates for the first time an explanation of power flow directionality and delegates a pumping role to the enzyme. The generalized Manley-Rowe relations are suggested to be a universal law of nature. In such case, nonlinearity could be attributable to the coupling of three systems by these generalized Manley-Rowe conditions relating flows/reactions/oscillations--even though separately each system might be described by linear (Onsager) relations.