Variability in the Persistence Length of an Atactic Polymer Due to Quenched Randomness, As Illustrated by Atactic Polystyrene

2007 ◽  
Vol 40 (2) ◽  
pp. 379-383 ◽  
Author(s):  
Wayne L. Mattice ◽  
Yergou B. Tatek ◽  
Numan Waheed
Keyword(s):  
Persistence Length ◽  
Atactic Polystyrene ◽  
Quenched Randomness ◽  
Atactic Polymer

scholarly journals A NOTE ON THE ANALYSIS OF A HETEROGENEOUS ROD-LIKE CHAIN IN DNA MODELING

2008 ◽  
Vol 22 (14) ◽  
pp. 2213-2224
Author(s):  
YAN DING ◽  
TIEJUN LI
Keyword(s):  
Path Integral ◽  
Lie Group ◽  
Persistence Length ◽  
Elastic Behavior ◽  
Suitable Model ◽  
Weak Disorder ◽  
Integral Analysis ◽  
Basic Model ◽  
Random Forcing ◽  
Sequence Dependent

Two different results concerning the elastic behavior of the heterogeneous worm-like chain (WLC) [D. Bensimon et al., Europhys. Lett.42, 97 (1998)] and rod-like chain (RLC) [P. Nelson, Phys. Rev. Lett.80, 5810 (1998)] are compared. We argue that the RLC is a more suitable model for double-stranded (ds-) DNA. As the hetero-RLC is the basic model for studying sequence-dependent ds-DNA, a rigorous path integral analysis for the effective bending persistence length is performed in the weak disorder limit. The novelty of the paper is in analyzing a path integral on the Lie group SO(3) with random forcing, which supplies a rigorous basis for the analysis of RLC type models.

scholarly journals Anomalous Laterally Stressed Kinetically Trapped DNA Surface Conformations

2021 ◽  
Vol 13 (1) ◽  
Author(s):  
Valery V. Prokhorov ◽  
Nikolay A. Barinov ◽  
Kirill A. Prusakov ◽  
Evgeniy V. Dubrovin ◽  
Maxim D. Frank-Kamenetskii ◽  
...  
Keyword(s):  
Electrostatic Interaction ◽  
Mechanical Response ◽  
Persistence Length ◽  
Strong Impact ◽  
List Type ◽  
Surface Charges ◽  
Monomolecular Films ◽  
Chain Approximation ◽  
The Impact ◽  
Positively Charged

Highlights DNA kinking is inevitable for the highly anisotropic 1D–1D electrostatic interaction with the one-dimensionally periodically charged surface. The double helical structure of the DNA kinetically trapped on positively charged monomolecular films comprising the lamellar templates is strongly laterally stressed and extremely perturbed at the nanometer scale. The DNA kinetic trapping is not a smooth 3D—> 2D conformational flattening but is a complex nonlinear in-plane mechanical response (bending, tensile and unzipping) driven by the physics beyond the scope of the applicability of the linear worm-like chain approximation. Abstract Up to now, the DNA molecule adsorbed on a surface was believed to always preserve its native structure. This belief implies a negligible contribution of lateral surface forces during and after DNA adsorption although their impact has never been elucidated. High-resolution atomic force microscopy was used to observe that stiff DNA molecules kinetically trapped on monomolecular films comprising one-dimensional periodically charged lamellar templates as a single layer or as a sublayer are oversaturated by sharp discontinuous kinks and can also be locally melted and supercoiled. We argue that kink/anti-kink pairs are induced by an overcritical lateral bending stress (> 30 pNnm) inevitable for the highly anisotropic 1D-1D electrostatic interaction of DNA and underlying rows of positive surface charges. In addition, the unexpected kink-inducing mechanical instability in the shape of the template-directed DNA confined between the positively charged lamellar sides is observed indicating the strong impact of helicity. The previously reported anomalously low values of the persistence length of the surface-adsorbed DNA are explained by the impact of the surface-induced low-scale bending. The sites of the local melting and supercoiling are convincingly introduced as other lateral stress-induced structural DNA anomalies by establishing a link with DNA high-force mechanics. The results open up the study in the completely unexplored area of the principally anomalous kinetically trapped DNA surface conformations in which the DNA local mechanical response to the surface-induced spatially modulated lateral electrostatic stress is essentially nonlinear. The underlying rich and complex in-plane nonlinear physics acts at the nanoscale beyond the scope of applicability of the worm-like chain approximation.

The Tll (>Tg) transition of atactic polystyrene

1976 ◽  
Vol 20 (5) ◽  
pp. 1245-1275 ◽  
Author(s):  
S. J. Stadnicki ◽  
J. K. Gillham ◽  
R. F. Boyer
Keyword(s):  
Atactic Polystyrene

scholarly journals The relationship between curvature, flexibility and persistence length in the tropomyosin coiled-coil

2010 ◽  
Vol 170 (2) ◽  
pp. 313-318 ◽  
Author(s):  
Xiaochuan (Edward) Li ◽  
William Lehman ◽  
Stefan Fischer
Keyword(s):  
Persistence Length ◽  
Coiled Coil ◽  
The Relationship
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