Abstract

The mechanism and properties of electron transfer along protein molecules at finite temperature T≠0 in the life systems are studied using nonlinear theory of bio-energy transport and Green function method, in which the electrons are transferred from donors to acceptors in virtue of the supersound soliton excited the energy released in ATP hydrolysis. The electron transfer is, in essence, a process of oxidation-reduction reaction. In this study we first give the Hamiltonian and wave function of the system and find out the soliton solution of the dynamical equation in the protein molecules with finite temperature, and obtain the dynamical coefficient of the electron transfer. The results show that the speed of the electron transfer is related to the amplitude and velocity of the soliton, the electron’s distribution in the donor and acceptor as well as the interaction among them. The stronger the coupling between them, then the larger the speed of electron transfer. We finally gain the changed rule of electric current arising from the electron transfer with varying time. These results are useful in molecular and chemical biology.

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