Dynamics of Davydov solitons

After modifying Davydov's original equations for the $\ensuremath{\alpha}$-helix soliton to include ten additional dipole-dipole coupling terms and to represent helical symmetry, a numerical study predicts that such solitons should appear under normal physiological conditions. This conclusion is supported by the assignment of a recently measured laser-Raman spectrum of a metabolically active cell to internal vibrations of the soliton. Analytical studies of continuum approximations to the numerical model provide additional insight into the soliton dynamics.

[1]  A. Scott,et al.  The soliton: A new concept in applied science , 1973 .

[2]  Sine-Gordon Breather Dynamics , 1979 .

[3]  H. Fröhlich,et al.  Electret Model for the Collective Behaviour of Biological Systems , 1981 .

[4]  A. Davydov,et al.  Solitons in molecular systems , 1979 .

[5]  J. Hyman,et al.  On Davydov's alpha-helix solitons , 1981 .

[6]  Marziale Milani,et al.  Solitons in Biological Systems at Low Temperature , 1981 .

[7]  A. Scott,et al.  Perturbation analysis of fluxon dynamics , 1978 .

[8]  R. H. Smith,et al.  THE AMINO ACID COMPOSITION OF SOME PURIFIED PROTEINS. , 1963, Advances in protein chemistry.

[9]  S. J. Webb,et al.  Laser-Raman spectroscopy of living cells , 1980 .

[10]  J. Schrieffer,et al.  Soliton dynamics in polyacetylene. , 1980, Proceedings of the National Academy of Sciences of the United States of America.

[11]  A. Davydov,et al.  Solitons, bioenergetics, and the mechanism of muscle contraction , 1979 .

[12]  N. Nevskaya,et al.  Infrared spectra and resonance interactions of amide‐I and II vibrations of α‐helix , 1976 .

[13]  V. A. Kuprievich,et al.  One-electron hamiltonian method for open-shell states , 1977 .

[14]  Alan J. Heeger,et al.  Soliton excitations in polyacetylene , 1980 .

[15]  A. Bishop,et al.  Weakly Pinned Fröhlich Charge-Density-Wave Condensates: A New, Nonlinear, Current-Carrying Elementary Excitation , 1976 .

[16]  A. Hopfinger,et al.  Theory of Structural Phase Transitions in Poly(Vinylidene Fluoride) , 1979 .

[17]  W. Peticolas,et al.  Raman spectra and the phonon dispersion of polyglycine. , 1970, The Journal of chemical physics.

[18]  M. Ablowitz,et al.  The Inverse scattering transform fourier analysis for nonlinear problems , 1974 .

[19]  K. G. Brown,et al.  Conformationally dependent low-frequency motions of proteins by laser Raman spectroscopy. , 1972, Proceedings of the National Academy of Sciences of the United States of America.

[20]  W. R. Adey,et al.  Frequency and power windowing in tissue interactions with weak electromagnetic fields , 1980, Proceedings of the IEEE.

[21]  A. Heeger,et al.  Nature of the open state in long polynucleotide double helices: possibility of soliton excitations. , 1980, Proceedings of the National Academy of Sciences of the United States of America.

[22]  A. Scott,et al.  Coupled Solitary Waves in Neurophysics , 1979 .

[23]  D. Ter Haar,et al.  On the theory of Langmuir solitons , 1977, Journal of Plasma Physics.

[24]  M. Rice,et al.  Phenomenological theory of soliton formation in lightly-doped polyacetylene , 1980 .

[25]  N. Nevskaya,et al.  Infrared spectra and resonance interaction of amide‐I vibration of the antiparallel‐chain pleated sheet , 1976, Biopolymers.

[26]  W. R. Adey,et al.  Tissue interactions with nonionizing electromagnetic fields. , 1981, Physiological reviews.

[27]  Deceleration of solitons in molecular chains , 1980 .

[28]  A. Scott.  The laser-Raman spectrum of a Davydov soliton , 1981 .

[29]  D. E. Green.  A FRAMEWORK OF PRINCIPLES FOR THE UNIFICATION OF BIOENERGETICS * , 1974 .

[30]  L. Genzel,et al.  Low‐frequency Raman spectra of lysozyme , 1976, Biopolymers.