Conformational statistics of bent semiflexible polymers

作者: Yu Zhou , Gregory S. Chirikjian

DOI: 10.1063/1.1596911

关键词:

摘要: This paper extends previous methods for obtaining the probability distribution function of end-to-end distance semiflexible polymers, and presents a general formalism that can generate conformational statistics any continuum filament model chains with internal bends twists. In particular, our focus is functions composed straight or helical segments connected discrete Prior polymer theories are not able to fully account effects these shape discontinuities. We use operational properties noncommutative Fourier transform group rigid-body motions in three-dimensional space. method applies various stiffness models chainlike macromolecules. Examples given which apply parameters defined Kratky–Porod model, Yamakawa wormlike chain revised Marko–Siggia double-helix intrinsic twists their unde...

参考文章(52)
Michael E. Taylor, Harmonic analysis and degenerate diffusions on Euclidean groups Annals of Global Analysis and Geometry. ,vol. 22, pp. 179- 196 ,(2002) , 10.1023/A:1019544931756
F. Aguilera-Granja, Ryoichi Kikuchi, Polymer statistics: II. New simulation of polymers in solution☆ Physica A-statistical Mechanics and Its Applications. ,vol. 182, pp. 331- 345 ,(1992) , 10.1016/0378-4371(92)90347-S
Wilma K. Olson, Nancy L. Marky, Robert L. Jernigan, Victor B. Zhurkin, Influence of fluctuations on DNA curvature. A comparison of flexible and static wedge models of intrinsically bent DNA. Journal of Molecular Biology. ,vol. 232, pp. 530- 554 ,(1993) , 10.1006/JMBI.1993.1409
Jolanta B. Lagowski, Jaan Noolandi, Bernie Nickel, Stiff chain model—functional integral approach Journal of Chemical Physics. ,vol. 95, pp. 1266- 1269 ,(1991) , 10.1063/1.461106
Gary G. Hoffman, EFFECTS OF BOND STRETCHING ON POLYMER STATISTICS Journal of Physical Chemistry B. ,vol. 103, pp. 7167- 7174 ,(1999) , 10.1021/JP991017A
Koh‐hei Nitta, A topological approach to statistics and dynamics of chain molecules Journal of Chemical Physics. ,vol. 101, pp. 4222- 4228 ,(1994) , 10.1063/1.467472
Zhou Haijun, Ou-Yang Zhong-can, Bending and twisting elasticity: A revised Marko-Siggia model on DNA chirality Physical Review E. ,vol. 58, pp. 4816- 4819 ,(1998) , 10.1103/PHYSREVE.58.4816
Brian Benoff, Huanwang Yang, Catherine L Lawson, Gary Parkinson, Jinsong Liu, Erich Blatter, Yon W Ebright, Helen M Berman, Richard H Ebright, Structural Basis of Transcription Activation: The CAP-αCTD-DNA Complex Science. ,vol. 297, pp. 1562- 1566 ,(2002) , 10.1126/SCIENCE.1076376
S. F. Burlatskii, G. S. Oshanin, Probability distribution for trajectories of a polymer chain segment Theoretical and Mathematical Physics. ,vol. 75, pp. 659- 663 ,(1988) , 10.1007/BF01036268