Nonlinear dynamics of secondary protein folding

We propose a simple phenomenological model that describes the conformational dynamics of proteins from the primary to the secondary structure. The folding pathway is determined by the local potential energy of individual amino acids in a protein chain, by the spring tension of the protein representing the internal hydrogen bonds that hold the helices and sheets together, and by the strength of nonlinear excitations that propagate through the protein backbone. Two opposite cases are considered with the length scale of an excitation being much larger or much smaller than the characteristic scale on which the conformational energy field varies.

[1]  P. Wolynes,et al.  Spin glasses and the statistical mechanics of protein folding. , 1987, Proceedings of the National Academy of Sciences of the United States of America.

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

[3]  D E Wemmer,et al.  Two-state allosteric behavior in a single-domain signaling protein. , 2001, Science.

[4]  H. Fröhlich,et al.  Interaction of electrons with lattice vibrations , 1952, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[5]  C. Dobson Protein folding and misfolding , 2003, Nature.

[6]  D. Beratan,et al.  DNA: Insulator or wire? , 1997, Chemistry & biology.

[7]  Jacqueline K. Barton,et al.  Oxidative DNA damage through long-range electron transfer , 1996, Nature.

[8]  Michel Peyrard,et al.  Nonlinear Excitations in Biomolecules , 1995 .

[9]  L. Johnson Control by protein phosphorylation , 1994, Nature Structural Biology.

[10]  J. Barton,et al.  Sensitivity of DNA-Mediated Electron Transfer to the Intervening π-Stack: A Probe for the Integrity of the DNA Base Stack , 1997 .

[11]  D. Kern,et al.  The role of dynamics in allosteric regulation. , 2003, Current opinion in structural biology.

[12]  E. Conwell,et al.  Polarons in DNA. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[13]  J. Onuchic,et al.  Theory of Protein Folding This Review Comes from a Themed Issue on Folding and Binding Edited Basic Concepts Perfect Funnel Landscapes and Common Features of Folding Mechanisms , 2022 .

[14]  Paul Gollnick,et al.  TROSY-NMR studies of the 91kDa TRAP protein reveal allosteric control of a gene regulatory protein by ligand-altered flexibility. , 2002, Journal of molecular biology.

[15]  Robert H. Austin,et al.  Long-Lived Amide I Vibrational Modes in Myoglobin , 2000 .

[16]  Bernd Bukau,et al.  Multistep mechanism of substrate binding determines chaperone activity of Hsp70 , 2000, Nature Structural Biology.

[17]  Alexander M. Rubenchik,et al.  Soliton stability in plasmas and hydrodynamics , 1986 .

[18]  Polaronic electron transfer in β-sheet protein models , 2001 .

[19]  J. Onuchic,et al.  Folding a protein in a computer: An atomic description of the folding/unfolding of protein A , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[20]  D. Devault,et al.  Biology and Quantum Mechanics , 1984 .

[21]  H. Fink,et al.  Electrical conduction through DNA molecules , 1999, Nature.

[22]  Alan J. Heeger,et al.  Solitons in conducting polymers , 1988 .

[23]  Y. Kivshar,et al.  Nonlinearity-induced conformational instability and dynamics of biopolymers , 2001, cond-mat/0108362.

[24]  E. Ben-Jacob,et al.  Prediction of charge and dipole solitons in DNA molecules based on the behaviour of phosphate bridges as tunnel elements , 1998 .

[25]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.