The bio-energy transport in living systems plays an important role in life activities, such as the muscle contraction, DNA duplication and the neuroelectric pulse transfer on membranes of neurocytes as well as calcium and sodium pumps [1–3]. To understand the mechanism of the bio-energy transport in these processes is a fundamental issue for biophysics, which will provide a microscopic insight to the basic physical, chemical and biological processes and functions of protein molecules. The biomedical investigations exhibit that the bio-energies supplied for most protein activities and functions are related to the adenosine phosphate (ATP) hydrolysis, namely an ATP molecule reacts with water environment releasing the energy 0.43 eV under normal physiological conditions [1–3]. Physically, the ATP energy released could change its conformation and configuration by the amide-I vibration. Experimental measurement indicates that only a half of the energy 0.205 eV in the ATP hydrolysis can be observed by the amide-I vibration [3], which implies that the energy released by ATP hydrolysis could couple other degrees of freedom, and could be related to some quantum effects. The challenging problems are what mechanism of state changes of ATP molecule in the ATP hydrolysis and how to understand various biological self-organization processes by the bio-energy transport, such as self-assembling, and self-renovating, which could be related to fundamental physical concepts: coherence, order, collective effects and correlations [3]. A lot of theoretical effort focus on the bio-energy transport in the α-helix structure of protein, including Davydov’s [1,2], Takeno’s [5], Yomosa’s [6], and Pang’s models [2–4]. The key physics involves the non-linear interaction between phonon and deformation of the protein molecules, the soliton migration, and the exciton–soliton interaction. Actually, there is no unified theory to understand all phenomena of the bio-energy transport in the protein molecules due to the complicated life processes. There are still many arguments and puzzles on the bio-energy transport, such as the soliton stability in room temperature, the charge transfer, the quantum and thermal fluctuations. Pang Xiao-feng in his review article gave a brief review of the theoretical studies of the bio-energy transport in protein molecules. He described the basic problems of the bio-energy transport in protein molecules and assessed the main results and unsolved problems of various different models. Particularly, he presented his main contributions in this issue. The key point of the Pang’s model is that he considers the effects of the correlation, collective excitation and collective motions of the protein molecule such that his results agree with experimental results. He obtained
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