The bio-energy transport in the protein molecules and its experimental validations of correctness
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Abstract
The bio-energy released by the hydrolysis of adenosine triphosphate, which relate to plenty of life activities and is transported in a solution, and its theory of transport are first stated and built in helix protein molecule. In order to confirm and verify the correctness of the transported theory we here systematically summarized and reviewed a great number of experimental investigation and evidences obtained by us and other researchers in past 30 years, involving the real existences of the solution and its features and lifetimes. In this survey we outlined and presented concretely the features of infrared spectra of absorption, Raman spectra and specific heat of the molecular crystal-acetanilide collagen, bivine serum albumin, myoglobin proteins and E.Coli. cell as well as the lifetimes of the solution in acetanilide and myoglobin measured by using pump-probe techniques and free-electron laser experiment, in which we give not only experimental data but also their comparisons with theoretical results. These experimental data and evidences provided here are enough to verify and affirm the true existences of the new solution, which can complete itself functions of bio-energy transport in the lifetime, and the correctness of the new theory of bio-energy transport in the acetanilide and protein molecule. Thus we can affirm the correctness of theory of the bio-energy transport in helix protein molecule, which can greatly promote the development of molecular biology.
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Copyright (c) 2018 Pang XF.
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Pang XF. Biophysics, The press of Univ. of Electronic Sci. Techno of China. China. 2007; 186-208.
Schulz GE, Schirmar RH. Principles of protein molecules. Springer. 1979; 123-175.
Davydov AS. Solitons in quasi-one-dimensionl molecular chains. Usp fiz Nauk. 1982; 138: 603-643
Davydov AS. Quantum theory of muscular contraction. Biophys. 1974; 19: 684-691
Davydov AS. The theory of contraction proteins under their excitation. J Theor Biol. 1973; 38: 559-569. Ref.: https://goo.gl/vT7LS3
Davydov AS. Solitons and energy transfer along protein molecules. J Theor Biol. 1977; 66: 379-387. Ref.: https://goo.gl/o6Ujt3
Davydov AS, Ermakov VN. Soliton generation at the boundary of molecular chain. Physica D. 1988; 32: 318-329. Ref.: https://goo.gl/eCE4Nd
Davydov AS. Solitons in molecular systems. Phys Scrip. 1979; 20: 387-394. Ref.: https://goo.gl/QUuV3q
Davydov AS. Biology and quantum mechanics. Pergamon. 1982; 146-169.
Davydov AS. Solitons in molecuar systems. Reidel Publishing Comp. 1991; 24: 133.
Davydov AS. The lifetime of molecular solitons. J Biol Phys. 1991; 18: 111-125. Ref.: https://goo.gl/k5YsVu
Davydov AS. The lifetime of molecular solitons. J Biol Phys. 1991; 18: 111-125. Ref.: https://goo.gl/k5YsVu
Davydov AS. Solitons, bioenergetics and the mechanism of muscle contractions. Int J Quantum Chem. 1979; 16: 5-17. Ref.: https://goo.gl/o4A7dr
Davydov AS. Soliton motion in a one-dimensional molecular lattice with account taken of thermal oscillations. Sov Phys JETP. 1980; 51: 397-400. Ref.: https://goo.gl/Z8MyEH
Scott AC. Dynamics of Davydov’s soliton. Phys Rev A. 1982; 26: 578-595. Ref.: https://goo.gl/zK8fZw
Scott AC. Davydov’s soliton. Phys Rep. 1992; 217: 1-67. Ref.: https://goo.gl/ytBBjV
Scott AC. Thevibrational structure of Davydov solitons. Phys Scr. 1982; 25: 651-658. Ref.: https://goo.gl/KMeDc2
Scott AC. Launching a Davydov Soliton: I. Soliton Analysis. Phys Scr. 1984; 29: 279-283. Ref.: https://goo.gl/RM93bE
Scott AC. The laser-Raman spectrum of a Davydov soliton. Phys Lett A. 1981; 86: 60-62. Ref.: https://goo.gl/nvbwbM
Scott AC. A nonresonant discrete self-trapping equation. Phys Scr. 1990; 42: 14-18. https://goo.gl/nGbNXe
Brown DW. Balancing the Schrodinger equation with Davydov ansatze. Phys Rev A. 1988; 37: 5010-5011. Ref.: https://goo.gl/HgGCQP
Brown DW, West BJ, Lindenberg K. On the applicability of Hamilton’s equation in the quantum soliton problem. Phys Rev BA. 1986; 33: 4104-4109. Ref.: https://goo.gl/zNXC8z
Brown DW, West BJ, Lindenberg K. Nonlinear density-matrix equation for the study of finite-temperature soliton dynamics. Phys Rev B. 1987; 35: 6169-6181. Ref.: https://goo.gl/qE1AHm
Brown DW, West BJ, Lindenberg K. Davydov solitos:new results at variance with standard derivations. Phys Rev A. 1986; 33: 4110-4115. Ref.: https://goo.gl/y79sM2
Brown DW, Ivic Z. Unifrication of polaron and soliton theories of electron transport. Phys Rev B. 1989; 40: 9876-9887. Ref.: https://goo.gl/5Ak1ac
Bernstein LJ. Nonlinear self-trapping in a quantum dimer. Physica D. 1991; 51: 240-243. Ref.: https://goo.gl/Av13ks
Bernstein LJ, Eilber JC, Scott AC. The quantum theory of local modes in a coupled system of nonlinear oscillators. Nonlinearity. 1990; 3: 293-323. Ref.: https://goo.gl/7omHyt
Brizhik LS, Davydov As. Soliton excitations in one-dimensional molecular systems. Phys Stat Sol (b). 1983; 115: 615-630. Ref.: https://goo.gl/ey7Mm5
Skrinjar MJ, Kapor DW, Stojanovic SD. Classical and quantum approach to Davydov’s soliton theory. Phys Rev A Gen Phys. 1988; 38: 6402-6408. Ref.: https://goo.gl/D7YS7u
Sahimi M, Hiughes BD, Scriven LE, Davis HT. Critical exponent of percolation conductivity by finite size scaling. J Phys C. 1983; 16: 521-527. Ref.: https://goo.gl/nAezeV
Yanoviskii OE, Kryachko ES. Model for orientational defects in quasi-one-dimensional ice crystals. Phys Stat Sol (b). 1988; 140: 69-81. Ref.: https://goo.gl/WUYneh
Yomosa S. Solitary waves in one-dimensional hydrogen-bonded system. J Phys Soc Jpn. 1983; 51: 1866-1873. Ref.: https://goo.gl/eK4vkY
Pang XF. Soliton motions in organic protein molecules, Chin. J Biochem Biophys. 1986; 18: 1-6.
Pang XF. The analyses of solution of revised Davydov equations. J Appl Math. 1987; 10: 228-233.
Pang XF. The features of Davydov soliton excited in protein molecules. Chin J Atom Mol Phys. 1986; 6: 275-284.
Christiansen PL, Scott AC. Davydov's soliton revisited. Physica D. 1991; 51: 333-342. Ref.: https://goo.gl/kTYs4G
Brizhik LS, Davydov AS. The lectrosoliton pairing in soft molecular chains. Fiz Nizk Temp. 1983; 10: 745-753.
Davydov AS, Kislukha NI. Solitary excitations in one-dimensional molecular chains, Phys Stat Sol (b). 1973; 59: 465-470. Ref.: https://goo.gl/dd5okP
Cruzeiro L, Halding J, Christiansen PL, Skovgard O, Scott AC. Temperature effects on the Davydov soliton. Phys Rev A. 1988; 37: 880-887. Ref.: https://goo.gl/izR6nA
Cruzeio-Hansson L. Mechanism of thermal destabilization of the Davydov soliton. Phys Rev A. 1992; 45: 4111-4115. Ref.: https://goo.gl/CVJ4BP
Cruzeiro-Hansson L. Finite temperature simulations of the semiclassical Davydov model. Physica D. 1993; 68: 65-67. Ref.: https://goo.gl/A7zJ9q
Cruzeiro-Hansson L. Two reasons why the Davydov soliton may be thermally stable after all. Phys Rev Lett. 1994; 73: 2927-2930. Ref.: https://goo.gl/RsAf76
Cruzeiro L. The Davydov/Scott model for energy storage and transport in proteins. J Bio Physics. 2009; 35: 43-55. Ref.: https://goo.gl/8PNBJc
Cruzeiro L. Why are proteins with glutamine- and asparagine-rich regions associated with protein misfolding diseases? J Phys Condens Matter. 2005; 17: 7833-7844. Ref.: https://goo.gl/99frEX
Cruzeiro L. Influence of the nonlinearity and dipole strength on the amide I band of protein α-helices. J Chem Phys. 2005; 123: 4909-4917. Ref.: https://goo.gl/2zgGXF
Cruzeiro-Hansson L, Takeno S. Davydov model: the quantum, mixed quantum- classical and full classical systems. Phys Rev E. 1997; 56: 894-906. Ref.: https://goo.gl/9ZdDJK
Cruzeiro-Hansson L. Dynamics of a mixed quantum-classical system at finite temperature. Europhys Lett. 1996; 33: 655-659. Ref.: https://goo.gl/mWHmEz
Cruzeiro-Hansson L, Kenkre VM. Localized versus delocalized ground states of the semiclassical Holstein Hamiltonian. Phys Lett A. 1994; 190: 59-64. Ref.: https://goo.gl/DV3KK5
Brizhik L, Cruzeiro-Hansson L, Eremko A. Influence of electromagnetic radiation on molecular solitons. J Biol Phys. 1998; 24: 19-39. Ref.: https://goo.gl/rTwg2m
Förner W. Quantum and disorder effects in Davydov soliton theory. Phys Rev A. 1991; 44: 2694-2708. Ref.: https://goo.gl/djuogM
Förner W. Quantum and temperature effects on Davydov soliton dynamics: Averaged Hamiltonian method. J Phys Condens Matter. 1992; 4: 1915-1923. Ref.: https://goo.gl/uHpo7n
Förner W. Davydov soliton dynamics: temperature effect. J Phys Condens Matter. 1991; 3: 4333-4348. Ref.: https://goo.gl/wy5kfP
Förner W. Effects of temperature and interchain coupling on Davydov solitons. Physica D. 1993; 68: 68-82. Ref.: https://goo.gl/SBJmfw
Motschman H, Förner W, Ladik J. Influences of heat bath and disorder in the sequence of amino acid masses on Davydov soliton. J Phys Condensed Matter. 1989; 1: 5083. Ref.: https://goo.gl/vvF197
Förner W. Multiquanta statea derived from Davydov’s D1 ansatz: I. Equations of motion for the Su-Schrieffer-Heeger Hamiltonian. J Phys Condensed Matter. 1994; 6: 9089-9151. Ref.: https://goo.gl/juHyUw
Förner W. Davydov soliton dynamics in proteins: II. The general case. J Mol Model. 1996; 2: 103-135. Ref.: https://goo.gl/Rc5p7P
Förner W. Davydov soliton dynamics in proteins: I. Initial states and exactly solvable special cases. J Mol Model. 1996; 2: 70-135. Ref.: https://goo.gl/xsfcc2
Förner W. Quantum and temperature effects on Davydov soliton dynamics: II.The partial dressing state and comparisons between different methods. J Phys Condens Matter. 1993; 5: 805-821. Ref.: https://goo.gl/wGhKgL
Förner W. Quantum and temperature effects on Davydov soliton dynamics: III. Interchain couping. J Phys Condens Matter. 1993; 5: 823-839. Ref.: https://goo.gl/Xo2ay8
D Hofmann, J Ladik, W Forner, P Otto. Possibility of solitary waves in the base stacks of DNA. J Phys Condensed Matter. 1992; 4: 3883-3903. Ref.: https://goo.gl/ZYrsCh
Brizhik L, Cruzeiro-Hansson L, Eremko A. Electromagnetic radiation influence on nonlinear charge and energy transfer in biosystems. J Biol Phys. 1999; 24: 223-232. Ref.: https://goo.gl/4zNuoS
Lomdahl PS, Kerr WC. Do Davydov Solitons Exist at 300 K? Phys Rev Lett. 1985; 55: 1235- 1238. Ref.: https://goo.gl/hhLFC5
Kerr WC, Lomdahl, PS. Quantum-mechanical derivation of the equations of motion for Davydov solitons. Phys Rev B. 1987; 35: 3629-3632. Ref.: https://goo.gl/WLpHmv
Wang X, Brown DW, Lindenberg K. Quantum Monte Carlo simulation of Davydov model. Phys Rev Lett. 1989; 62: 1796-1799. Ref.: https://goo.gl/raSU7N
Wang X, Brown DW, Lindenberg K. Alternative formulation of Davydov theory of energy transport in biomolecules systems. Phys Rev A. 1988; 37: 3557-3566. Ref.: https://goo.gl/bbtJ4X
Cottingham JP, Schweitzer JW. Calculation of the lifetime of a Davydov soliton at finite temperature. Physical Review Lettes. 1989; 62: 1792-1795. https://goo.gl/iSoJkC
Schweitzer JW. Lifetime of the Davydov soliton. Phys Rev A. 1992; 45: 8914-8922. Ref.: https://goo.gl/LJz7Yf
Hyman JM, Mclaughlin DW, Scott AC. On Davydov’s alpha-helix solitons. Physica D. 1981; 3: 23-44. Ref.: https://goo.gl/CAALAz
Lawrence AF, McDaniel JC, Chang DB, Pierce BM, Brirge RR. Dynamics of the Davydov model in alpha-helix protein effects of the coupling parameter and temperature. Phys Rev A. 1986; 33: 1188-2302.
Mechtly B, Shaw PB. Evolution of a molecular exciton on a Davydov lattice at T=0. Phys Rev B. 1988; 38: 3075-3087. Ref.: https://goo.gl/RT86bi
Macneil L, Scott AC. Lauchinga Davydov soliton. II. Numerical analysis. Phys Scr. 1984; 29: 284-287. Ref.: https://goo.gl/oL1wJ8
Bolterauer H, Opper M. The quantum lifetime of the Davydov soliton. Z Phys B. 1991; 82: 95-103. Ref.: https://goo.gl/3JqDp6
Eibeck JC, Lomdahl PS, Scott AC. Soliton structure in crystalline acetanide. Phys Rev B. 1984; 30: 4703-4712. Ref.: https://goo.gl/QAhLYX
Förner W. Davydov soliton dynamics: two-quantum states and diagonal disorder. J Phys Condens Matter. 1991; 3: 3235-3252. Ref.: https://goo.gl/tT4XAh
Takeno S. Vibron soliton in one-dimensional molecular crystal. Prog Theor Phys. 1984; 71: 395-398. Ref.: https://goo.gl/unKi8T
Takeno S. Vibronsolitons and coherent polarization in an exactly tractable oscillator-lattice systerm. Prog Theor Phys. 1985; 73: 853-873. Ref.: https://goo.gl/1npmqk
Takeno S. Quantum theory of vibronsoliton-coherent states of a vibron-phonon system and self-localized modes. J Phys Soc Jpn. 1990; 59: 3127-3141. Ref.: https://goo.gl/cPV5mg
Pang XF. The properties of collective excitation in organic protein molecular system. J Phys Condens Matter. 1990; 2: 9541-9556. Ref.: https://goo.gl/JrKzgH
Pang XF. The dynamic properties for the protein molecular systems. Acta Math Phys. 1993; 13: 437-446. Ref.: https://goo.gl/qva1XE
Pang XF. Mossbauer effect arising from supersonic soliton motion in organic crystal. Acta Phys Sinica. 1993; 42: 1841-1852.
Pang XF. Properties of soliton in protein molecules with nonlinear nearest neighbour interaction. Chin Sci Bulletin. 1993; 38: 1572-1583. Ref.: https://goo.gl/FXoXX8
Pang XF. The thermodynamic properties of the solitons excited in the protein molecules. Chin Sci Bulletin. 1993; 38: 1665-1673. Ref.:
Pang XF. Quantum-mechamical method for the soliton transported bio-energy in protein. Chin Phys Lett. 1993; 10: 437-440. Ref.: https://goo.gl/51xSQs
Pang XF. The specific heat cause by solitons in the protein molecular. Chin Phys Lett. 1993; 10: 381-384. Ref.: https://goo.gl/L13S55
Pang XF. Stability of the soliton excited in protein in the biological temperature range. Chin Phys Lett. 1993; 10: 573-580. Ref.: https://goo.gl/JtQYbw
Pang XF. Influences of temperature on features of soliton excited in the biomacromolecules. Chin J Biophys. 1993; 9: 631-641.
Pang XF. Quantum features of the soliton excited in protein molecules. Chin J Biophys. 1994; 10: 133-142.
Pang XF. Nonlinear quantum mechanical theory. 1st, Chinese Chongqing Press. 1994; 233-279.
Pang XF. Comment “the thermodynamic properties of α-helix protein: A soliton approach”. Phys Rev E. 1994; 49: 4747-4752.
Pang XF. A molecular dynamic theory of ultraweak bio-photon emission in the living systems and its properties. Chin J Atom Mol. 1995; 12: 411-421.
Pang XF. A statistical theory for the bio-photon emission of the living systems. Chin J Atom Mol. 1997; 16: 288-296.
Pang XF. The properties of Raman Scattering resulting from solitons excited in the organic protein molecule. Acta Physical Slovaca. 1998; 48: 99-107. Ref.: https://goo.gl/UuyiMy
Pang XF. Influence of the soliton in anharmonic molecular crystals with temperature on Mossbauer effect. Euro Phys J B. 1999; 10: 415-425. Ref.: https://goo.gl/qPMGoy
Pang XF, Chen XR. Nonlinear vibrational energy-spectra of molecular crystals. Chin Phys. 2000; 9: 106-110.
Pang XF. An improvement of the Davydov theory of bio-energy transport in the protein molecular systems. Phys Rev E. 2000; 62: 6989-6998.
Pang XF. The lifetime of the soliton in the improved Davydov model at the biological temperature 300K for protein molecules. Euro Phys J B. 2001; 19: 297-308. Ref.: https://goo.gl/Qk9dcV
Pang XF. The effect of Raman scattering accompanied by the soliton excitation occurred in the molecular crystals. Physica D. 2001; 154: 138-149. Ref.: https://goo.gl/Dg2gmp
Pang X, Chen XR. Distribution of vibrational energy-levels of protein molecular chains. Commun Theor Phys. 2001; 35: 323-326. Ref.: https://goo.gl/su2Lbo
Pang XF. The features of infrared absorption of protein molecules in living systems. Commun Theor Phys. 2001; 35: 763-768.
Pang XF, Chen XR. Calculation of vibrational energy-spectra of α-Helical protein molecules and its properties. Commun Theor Phys. 2002; 37: 715-722. Ref.: https://goo.gl/TPdLzJ
Pang XF, Luo YH. Stabilization of the soliton transported bio-energy in protein molecules in the Improved Model. Commun Theor Phys. 2004; 41: 470-476. Ref.: https://goo.gl/W5WYBd
Pang XF, Zhang AY. Mechanism and Properties of Non-thermally Biological Effect of the Millimeter Waves. Int J Infrared Millimeter Waves. 2004; 25: 533-552. Ref.: https://goo.gl/33Gbfy
Pang XF, Yu JF, Luo YH. Influences of quantum and disorder effects on solitons exited in protein molecules in improved model. Commun Theor Phys. 2005; 43: 367-376. Ref.: https://goo.gl/JvK2vu
Pang XF, Zhang HW, Yu JF, Feng YP. States and properties of the soliton transported bio-energy in nonuniform protein molecules at physiological temperature. Phys Lett A. 2005; 335: 408-415. Ref.: https://goo.gl/Ja3wSy
Pang XF. Thermal stability of the new soliton transported bio-energy under influence of fluctuations of characteristic parameters at biological temperature in the protein molecules. Int J Modern Phys B. 2005; 19: 4677-4699. Ref.: https://goo.gl/hM4oq9
Pang XF, Feng YP. Quantum mechanics in nonlinear systems. Singapore. 1st. ed. World Scientific Publishing Co. Singapore. 2005; 471-551.
Pang XF, Yu JF, Luo YH. Influences of quantum and disorder effects on solitons exited in protein molecules in improved model. Commun Theor Physics. 2005; 43: 367-376. Ref.: https://goo.gl/bEhx7x
Pang XF, Zhang HW, Yu JF, Luo YH. Thermal stability of the new soliton transported bio-energy under influence of fluctuations of characteristic parameters at biological temperature in the protein molecules. Int J Modern Physics B. 2005; 19: 4677-4699. Ref.: https://goo.gl/g85P6q
Pang XF, Zhang HW, Yu JF, Luo YH. Influences of variations of characteristic parameters arising from the structure nonuniformity of the protein molecules on states of the soliton transported bio-energy in the improved model. Int J Mod Phys B. 2006; 20: 3027-3035.
Pang XF, Zhang HW, Luo YH. Influences of heat bath and structure disorder in protein molecules on the soliton transported bio-energy in the improved model. J Phys Condens Matter. 2006; 18: 613-627. Ref.: https://goo.gl/3S1Cyx
Pang XF, Zhang HW, Lui MJ, Yu.JF. Influences of heat bath and structure disorder in protein molecules on the soliton transported bio-energy in the improved model，J Phys condensed matter. 2006; 18: 613-627.
Pang XF, Zhang HW, Yu JF, Luo YH. Influences of variations of characteristic parameters arising from the structure nonuniformity of the protein molecules on swtates of the soliton transported bio-energy in the improved model. Int J Mod Phys B. 2006; 20: 3027-3036.
Pang XF, Yu JY, Lao YH. Combination effects of structure nonuniformity of proteins on the soliton transported bio-energy. Inter J Mod Phys B. 2007; 21: 13-42. Ref.: https://goo.gl/M8CVed
Pang XF, Liu MU. Properties of soliton-transported bgio-energy in alpha-helix protein molecules with three channels. Commun Theory Physics. 2007; 48: 369-376. Ref.: https://goo.gl/fsSQVK
Pang XF. Influence of structure disorders and temperatures of systems on the bio-energy transport in protein molecules. Frontier of Phys in China. 2008; 3: 457-488. Ref.: https://goo.gl/JWacbL
Pang XF, Liu MJ. Features of motion of soliton transported bio-energy in aperiodic α-helix protein molecules with three channels. Commun Theor Phys. 2009; 51: 170-180. Ref.: https://goo.gl/QdBc1L
Pang XF. The effects of damping and temperature of medium on the soliton excited in α -Helix protein molecules with three channels. Mod Phys Lett B. 2009; 23: 71-88. Ref.: https://goo.gl/uK9kJz
Pang XF, Lui MJ. The Influences of temperature and chain-chain interaction on features of solitons excited in α -helix protein molecules with three channels. Int J Mod Phys B. 2009; 23: 2303-2322. Ref.: https://goo.gl/myiFj1
Pang XF, Yu JF, Liu MJ. Changes of properties of the soliton with temperature under influences of structure disorder in the α-helix protein molecules with three channels. Mol Phys 2010; 108: 1297-1315. Ref.: https://goo.gl/6yfkMt
Pang XF. The theory of bio-energy transport in the protein molecules and its properties. Phys Life Rev. 2011; 8: 264-286. Ref.: https://goo.gl/E9Cz5i
Pang XF. Correctness and completeness of the theory of bio-energy transport. Phys Life Rev. 2011; 8: 302-306. Ref.: https://goo.gl/sqc9Z9
Pang XF. The investigation of properties and theory of bio-energy transport in protein molecules. Appl Phys. 2011; 1: 47-59
Pang XF. The properties of bio-energy transport and Influence of structure nonuniformity and temperature of systems on energy transport along polypeptide chains. Prog Biophys Mol Biol. 2012; 108: 1-46. Ref.: https://goo.gl/8EhJAc
Pang XF. The features of nonlinear excitation and energy transport in the protein Molecules. Res Rev in BioSci. 2012; 6: 160-186
Pang XF. The mechanism and properties of bio-photon emission and absorption in protein molecules in living systems. J Appl Phys. 2012; 111: 935191-935204. Ref.: https://goo.gl/hrYyXe
Fohlich H. Interaction of electrons withlattice vibrations. Proc R Soc London Ser A. 1952; 215: 291-298. Ref.: https://goo.gl/CgsQMy
Spatschek KH, Mertens FG. Nonlinear coherent structures in physics and Biology. Plenum Press, New York, USA. 1994; 56-126.
Popp FA, Li KH, Gu Q. Recent advances in biophoton research and its application. World Scientific Publishing Co. Singapore. 1993; 141-178.
Ho MW, Popp FA, Warnke U. Bioelectrodynamics and Biocommunication. Would Scientific Publishing Co. Singapore. 1994; 87-148.
Pang XF. Soliton physics. Sichuan Sci Techn Press. 2003. 2-180.
Guo BL, Pang XF. Solitons. Chin Sci Press Beijing China. 1987; 4-140.
Bullough PK, Caudrey PJ. Soliton. Springer, New York, USA. 1982; 80-160.
Young E, Shaw PB, Whitfield GA. Asymptotic spectrum of momentum eigestates of one-dimensional polarons. Phys Rev B. 1979; 19: 1225-1229. Ref.: https://goo.gl/oNjVxP
Venzl G, Fischer SF. Excitonic and solitonic states in one-dimensional exciton-phonon systems. J Phys Chem. 1984; 81: 6090-6095. Ref.: https://goo.gl/Xf9GHE
Nagle JF, Mille M, Morowitz HJ. Theory of hydrogen-bonded chains in bioenergetics. Chem J Phys. 1980; 72: 3959-3971. Ref.: https://goo.gl/sRgktu
Wanger M, Kongeter A. A Fulton-Gouterman approach to exciton localization and excitonic solitons. Chem J Phys. 1989; 91: 3036-3044. Ref.: https://goo.gl/FY7JEz
Eremko AA. Photodissociation of Davydov solitons. Dokl Akad Nauk Ukr SSR A. 3: 52-57. Ref.: https://goo.gl/TDXJNB
Careri GA, Gransanti A, Ruple JA. Critical exponents of photonic percolation in hydrated lysozyme, powders. Phys Rev A. 1988; 37: 2703-2705. Ref.: https://goo.gl/7abF7E
Careri G, Gratton E, Shyamsunder E. Fine structure of the amide-I band in acetanilide. Phys Rev A. 1988; 37: 4048-4051. Ref.: https://goo.gl/wEzUqt
Careri G, Buontempo U, Galluzzi F, Scott AC, Gratton E, et al. Spectroscopic evidence for Davydov-like solitons in acetanilide. Phys Rev B. 1984; 30: 4689-4702. Ref.: https://goo.gl/bJs3mJ
Careri G, Buontempo U, Caeta F, Gratton E, Scott AC. Infrared absorption in acetanilide by solitons. Phys Rev Lett. 1983; 51: 304-307. Ref.: https://goo.gl/ZgLeRJ
Careri G, Giansanti A. Deuerium effect in the dielectric losses of wheat seeds. Lett Nuovo Cimento. 1984; 40: 193-196. Ref.: https://goo.gl/xoSerq
Eilbeck JC, Lomdahl PS, Scott AC. Soliton structure in crystalline acetanilide. Phys Rev B. 1984; 30: 4703-4712. Ref.: https://goo.gl/ZppMLi
Scott AC, Gratton E, Shyamsunder E, Careri G. I Rovertone spectrum of the vibrational soliton in crystalline acetanilide. Phys Rev B. 1985; 32: 5551-5553. Ref.: https://goo.gl/MkAd6E
Scott AC, Bigio IJ, Johnston CT. Polarons in acetanilide. Phys Rev B. 1989; 39: 517-521. Ref.: https://goo.gl/9MoxFi
Careri G, Eilbeck JC. Stability of stationary solutions of the discrete self-trapping equation. Phys lett A. 1985; 109: 201-204. Ref.: https://goo.gl/7X5Q9p
Pang XF, Chen XR. Properties of vibration energy spectra of the molecular crystal- acetanilide. Phys Stat Sol (B). 2002; 229: 1397-1404. Ref.: https://goo.gl/Y7PuYr
Pang XF, Chen XR. The properties of nonlinear energy-spectra of acetanilide. Int J Model Phys. 2006; 20: 2505-2510.
Pang XF, Chen XR. Vibrational energy-spectra and infrared absorption of α-helical protein molecules. Chin Phys Lett. 2002; 19: 1096-1099. Ref.: https://goo.gl/hME9to
Pang XF, Zhang HW. The properties of energy-spectra of molecular crystals investigated by nonlinear theory. Model Phys Lett B. 2006; 20: 1923-1932. Ref.: https://goo.gl/x4h2p2
Pang XF, Chen XR. Quantum vibrational energy-spectra of organic molecular crystalline chains crystalline acetanilide. J Phys Chem Solids. 2001; 62: 793-796. Ref.: https://goo.gl/V1PHPW
Alexander DM, Krumbansl JA. Localized excitations in hydrogen-bonded molecular crystals. Phys Rev B. 1986; 33: 7172-7185. Ref.: https://goo.gl/AZkjEN
Alexander DM. Analog of small Holstein polaron in hydrogen-bonded amide systems. Phys Rev Lett. 1985; 60: 138-141. Ref.: https://goo.gl/RrjreX
SAuvajol JL, Almarirac R, Moret J, Barthes M, Ribet JL. Temperature dependence of the Raman spectrum of fully deureratede acetanilide. J Raman Spectrosc. 1989; 20: 517-521. Ref.: https://goo.gl/6Xy8F7
Pang XF. The features of infrared absorption arising from the solutions excited in the organic protein molecules. Chin J Inf Mill Wav. 1993; 12: 377-382.
Pang XF. The Mossbauer effects arising from the solution excitation in organic protein molecules at biological temperature. Chin J Infra Mill Wave. 16: 288-299.
Pang XF, Nie ZL. The effects of infrared absorption of protein molecules. Chin J Atom Mol. 1997; 14: 232-241.
Hamm P. Femtosecond IR pump-probe spectroscopy of energy localization in protein models andmodel proteins. J Biol Phys. 2009; 35: 17-30.
Edler J, Hamm P. Self-trapping of the amide I band in a peptide model crystal. J Chem Phys. 2002; 117: 2415-2424. Ref.: https://goo.gl/nL4S9o
Edler J, Hamm P. Two-dimensional vibrational spectroscopy of the amide I band of crystalline acetanilide: Fermi resonance, conformational substates, or vibrational self-trapping? J Chem Phys. 2003; 119: 2709-2715. Ref.: https://goo.gl/2KRyCo
Edler J, Hamm P, Scott AC. Femtosecond study of self-trapped vibrational excitons in crystalline acetanilide. Phys. Rev. Lett. 2002; 88: 067403.1-067403.4. Ref.: https://goo.gl/Yn57z1
Edler J, Hamm P. Spectral response of crystalline acetanilide and N-methylacetamide: vibrational self-trapping in hydrogen-bonded crystals. Phys Rev B. 2004; 69: 214301-214307. Ref.: https://goo.gl/Vf8n28
Edler J, Pfister R, Pouthier V, Falvo C, Hamm P. Direct observation of self-trapped vibrational states in α-helices. Phy Rev Lett. 2004; 93: 106405. Ref.: https://goo.gl/LUiZG6
Barthes M. Optical anomalies in acetanilide-Davydov solutions, localized modes, or Fermi resonance? J Mol Liq. 1989; 41: 143-150. Ref.: https://goo.gl/zf3NSH
Woutersen S, Mu Y, Stock G, Hamm P. Hydrogen-bond lifetime measured by time- resolved 2D-IR spectroscopy: N-methylacetamide in methanol. Chem Phys. 2001; 266: 137-147. Ref.: https://goo.gl/AubvJ2
Blanchet GB, Fincher CR. Defects in a nonlinear pseudo one-dimensional solid. Phys. Rev. Lett. 1985; 54: 1310-1313. Ref.: https://goo.gl/xvLfG8
Johnston CT, Swanson BI. Temperature dependence of the vibrational spectrum of acetanilide: Davydov solution or Fermi couping. Chem Phys Lett. 1985; 114: 547-552. Ref.: https://goo.gl/6yV35t
Johnston CT, Agnew SF, Eckert J, Jones LH, Swanson BI, et al. Low-frequency single-crystal raman, far-infrared, and inelastic neutron- scattering studies of acetanilide at low-temperature. J Chem Phys. 1991; 95: 5281-5286. Ref.: https://goo.gl/azQXGy
Pang XF, Xiao HL, Cue GP, Zhang HW, Dong B. Experiment studies of properties of infrared absorption of biological tissues. Int. J Infr Mill Wave. 2010; 31: 521-532.
Pang XF, Zhang HW. 2006. Theoretical investigation of properties of infrared absorption of α- helix protein molecules, Int. J.Infr. Mill. Wave 27:735-744.
Xiao HL, Cai GP, Sun SQ, Pang XF. The Properties of two-dimensional infrared spectrum of collage. Chin Atom Mol Phys. 2003; 20: 211-217.
Cai GP, Chen LL, Yang QN. The properties of spectrum of collagen and fiber feature of silicosis. Chin J Sickness of Labour-health. 1992; 10:129-132.
Xie A, van der Meer L, Hoff W, Austin RH. Long-lived amide I vibratrional modes in Myoglobin. Phys Rev Lett. 2000; 84: 5435-5438. Ref.: https://goo.gl/iEHXCb
Xie A, van der Meer A FG, Austin RH. Excited-state lifetimes of far-infrared collective modes in proteins. Phys Rev Lett. 2002; 28: 147-154. Ref.: https://goo.gl/9v8HU4
Austin RH, Xie A, van derMeer L, Shinn M, Neil G. Self-trapped states in proteins. Nucl Instrum Methods Phys Res. 2003; 507: 561-563. Ref.: https://goo.gl/sUUEDZ
Fang C, Senes A, Cristian L, DeGrado WF, Hochstrasser RM. 2006. Amide vibrations are delocalized across the hydrophobic interface of a transmembrane helix dimer. Proc Natl Acad Sci USA. 2006; 103: 16740-16745. Ref.: https://goo.gl/L7nNK1
Hamm P, Tsironis GP. Semiclassical and quantum polarons in crystalline acetanilide. Eur Phys J Special Topics. 2007; 147: 303-331. Ref.: https://goo.gl/JW8y8y
Austin RH, Xie A, van der Meer L, Shinn M, Neil G. Self-trapping states in proteins? J Phys Condens matter. 2003; 15: 1693-1698.
Austin RH, Xie A, Fu D, Warren WW, Redlich B, et al. Tilting after dutch windmills: probably no long-lived Davydov solutions in proteins. J Biol Phys. 2009; 35: 91-101. Ref.: https://goo.gl/iY8woM
Webb SJ. Laser-Raman spectroscopy of living cells. Phys Rep. 1980; 60: 201-224. Ref.: https://goo.gl/G7JqhD
Webb SJ, Dobbs DD. Inhibition of bacterial cell growth by 136gc microwaves. Nature. 1968; 218: 374-375. Ref.: https://goo.gl/qos9qW
Pang XF. Physical foundations of formation of bio-self-organization and the bio-photon emission in the living systems. Int J infrared and millimeter waves. 2002; 23: 365-374. Ref.: https://goo.gl/Y8yrYQ
Pang XF. Thermally biological effects and its medical functions of the infrared rays absorbed by living systems. Int J infrared and millimeter waves. 2002; 23: 375-391. Ref.: https://goo.gl/RGWM5V
Pang XF. Theory of bio-energy transport in protein molecules and its experimental evidences as well as applications (I). Frontiers of Physics in China. 2007; 2: 469-493. Ref.: https://goo.gl/eX77j8
McClare CWF. Resonance in bioenergetics. Ann N Y Acad Sci. 1974; 227: 740-97. Ref.: https://goo.gl/4sVs1j
Fann W, Rothberg L, Roberso M, Benson S, Madey J, et al. Dynamical test of Davydov-type solutions in acetanilideusing a picosecondfree-electron laser, Phys. Rev. Lett. 1990; 64: 607-610.
Doty P, Bradbury JH, Holtzer AM. 1956. Polypeptides. iv. The molecular weight, configuration and association of poly-γ-benzyl-l-glutamate in various solvents. J Am Chem Soc. 1956; 78: 947-954. Ref.: https://goo.gl/PsVLqr
Knox RS, Maiti S, Wu P. Search for remote transfer of vibrational energy in proteins, in Davydov’s Solution Revisited, eds. Christiansen PL, Scott, AC. Plenum, New York. USA. 1990; 401-412.
Backus EHG, Nguyen PH, Botan V, Pfister R, Moretto A, et al. Energy transport in peptide helices: a comparison between high- and low- energy excitation. J Phys Chem B. 2008; 112: 9091-9099. Ref.: https://goo.gl/7SSZTU
Backus EHG, Nguyen PH, Botan V, Pfister R, Moretto A, et al. Structural flexibility of a helical peptide regulates heat transport properties. J Phys Chem B. 2008; 112: 15487-15492. Ref.: https://goo.gl/arWy5Z
Botan V, Backus EHG, Pfister R, Moretto A, Crisma M, et al. Energy transport in peptide helices. Proc Natl Acad Sci U S A. 2007; 104: 12749-12751. Ref.: https://goo.gl/ZGQQs4
Shen YR. IEEE. J Quantum Electron. 1986; 22: 1196-201.
Milonni PW, Eberley JH. Lasers. Wiley, New York, USA. 1988; 198-215.
Austin RH, Beeson K, Eisenstein L, Frauenfelder H, Gunsalus I, et al. Biochemistry. 1975; 14: 5355-5373.
Austin RH, Xie A. Picosecond IR dynamics: lessons learned. Free Electron Lasers. 1998; 407: 504-508. Ref.: https://goo.gl/NCFxAA
Pang XF. Nonlinear quantum mechanics.1st ed., LAP Lambert Academic Publishing, Deutschland, Germany. 2012; 272-359.
Mrevlishvil GM. Sov. Phys-Usp. 1979; 22: 433-439.
Mrevlishvil GM, Metreveli NQ, Razmadze GZ. Thermochim. Acta. 1998; 308: 41-46. Ref.: https://goo.gl/qU8pu9
Katok AB, Stepin AM. Approximation of Ergodic dynamic systems by periodic transformations. Dokl Akad Nauk (SSSR). 1966; 272: 978-982. Ref.: https://goo.gl/TFNhKi
Pang XF. Proton transfer in hydrogen bonded systems and its applications. 1st ed., LAP Lambert Academic Publishing, Deutschland, Germany. 2003; 116-154. Ref.: https://goo.gl/VmDKc8