Soliton in alpha helical proteins with interspine coupling at higher order

We study the dynamics of alpha helical proteins with next nearest neighbour interactions and interspine coupling at higher order in the continuum limit. The molecular excitations along the three hydrogen bonding spines are found to be governed by soliton modes for specific choices of parameters. The solitons propagating along the neighbouring spines are found to collide inelastically and share the energy among them.

[1]  A. Davydov,et al.  Solitary excitons in one‐dimensional molecular chains , 1973 .

[2]  Alwyn C. Scott,et al.  Launching a Davydov Soliton: I. Soliton Analysis , 1984 .

[3]  Peter S. Lomdahl,et al.  Soliton structure in crystalline acetanilide , 1984 .

[4]  M. M. Latha,et al.  A generalized Davydov soliton model for energy transfer in alpha helical proteins , 2001 .

[5]  Jia Xiao,et al.  Thermodynamic properties of α-helix protein: A soliton approach , 1991 .

[6]  R. Hirota Exact envelope‐soliton solutions of a nonlinear wave equation , 1973 .

[7]  P. Tuyls,et al.  Angular momentum fluctuations of the ideal Bose gas in a rotating bucket , 1995 .

[8]  Kenneth Steiglitz,et al.  State transformations of colliding optical solitons and possible application to computation in bulk media , 1998 .

[9]  M. Potasek,et al.  Soliton solutions to coupled higher-order nonlinear Schrödinger equations , 1992 .

[10]  M Lakshmanan,et al.  Exact soliton solutions, shape changing collisions, and partially coherent solitons in coupled nonlinear Schrödinger equations. , 2001, Physical review letters.

[11]  A. Scott Erratum: Dynamics of Davydov solitions , 1983 .

[12]  J. Boyd,et al.  Davydov soliton collisions , 1998 .

[13]  L. Cruzeiro-Hansson Effect of long range and anharmonicity in the minimum energy states of the Davydov-Scott model , 1998 .

[14]  Schweitzer Lifetime of the Davydov soliton. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[15]  K. Deepamala,et al.  Davydov soliton in alpha helical proteins: higher order and discreteness effects , 1995 .

[16]  M. Lakshmanan,et al.  Suppression and enhancement of soliton switching during interaction in periodically twisted birefringent fibers. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  M. Lakshmanan,et al.  Shape-changing collisions of coupled bright solitons in birefringent optical fibers , 2000 .

[18]  Eshel Ben-Jacob,et al.  Conformation changes and folding of proteins mediated by Davydov's soliton , 1999, cond-mat/9911004.

[19]  W. Forner Quantum and temperature effects on Davydov soliton dynamics. III. Interchain coupling , 1993 .

[20]  Silbey,et al.  Variational approach to the Davydov soliton. , 1988, Physical review. A, General physics.

[21]  Jarmo Hietarinta,et al.  Inelastic Collision and Switching of Coupled Bright Solitons in Optical Fibers , 1997, solv-int/9703008.

[22]  M. M. Latha,et al.  Soliton in discrete and continuum alpha helical proteins with interspine coupling , 1999 .

[23]  Shan-liang Liu,et al.  Energy spectrum and coupling intensity between three helical chains in α-helical protein molecules , 1997 .

[24]  Alwyn C. Scott,et al.  Dynamics of Davydov solitons , 1982 .

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

[26]  M. M. Latha,et al.  Soliton in discrete and continuum alpha helical proteins with higher-order excitations , 1997 .