538 research outputs found
Different pathways in mechanical unfolding/folding cycle of a single semiflexible polymer
Kinetics of conformational change of a semiflexible polymer under mechanical
external field were investigated with Langevin dynamics simulations. It is
found that a semiflexible polymer exhibits large hysteresis in mechanical
folding/unfolding cycle even with a slow operation, whereas in a flexible
polymer, the hysteresis almost disappears at a sufficiently slow operation.
This suggests that the essential features of the structural transition of a
semiflexible polymer should be interpreted at least on a two-dimensional phase
space. The appearance of such large hysteresis is discussed in relation to
different pathways in the loading and unloading processes. By using a minimal
two-variable model, the hysteresis loop is described in terms of different
pathways on the transition between two stable states.Comment: 19 pages, 5 figure
Extracting Structural Information of a Heteropolymer from Force-Extension Curves
We present a theory for the reverse analysis on the sequence information of a
single H/P two-letter random hetero-polymer (RHP) from its force-extension(f-z)
curves during quasi static stretching. Upon stretching of a self-assembled RHP,
it undergoes several structural transitions. The typical elastic response of a
hetero-polymeric globule is a set of overlapping saw-tooth patterns. With
consideration of the height and the position of the overlapping saw-tooth
shape, we analyze the possibility of extracting the binding energies of the
internal domains and the corresponding block sizes of the contributing
conformations.Comment: 5 figures 7 page
Theory of biopolymer stretching at high forces
We provide a unified theory for the high force elasticity of biopolymers
solely in terms of the persistence length, , and the monomer spacing,
. When the force f>\fh \sim k_BT\xi_p/a^2 the biopolymers behave as Freely
Jointed Chains (FJCs) while in the range \fl \sim k_BT/\xi_p < f < \fh the
Worm-like Chain (WLC) is a better model. We show that can be estimated
from the force extension curve (FEC) at the extension
(normalized by the contour length of the biopolymer). After validating the
theory using simulations, we provide a quantitative analysis of the FECs for a
diverse set of biopolymers (dsDNA, ssRNA, ssDNA, polysaccharides, and
unstructured PEVK domain of titin) for . The success of a specific
polymer model (FJC or WLC) to describe the FEC of a given biopolymer is
naturally explained by the theory. Only by probing the response of biopolymers
over a wide range of forces can the -dependent elasticity be fully
described.Comment: 20 pages, 4 figure
Thermal Fluctuations of Elastic Filaments with Spontaneous Curvature and Torsion
We study the effects of thermal flucutations on thin elastic filaments with
spontaneous curvature and torsion. We derive analytical expressions for the
orientational correlation functions and for the persistence length of helices,
and find that this length varies non-monotonically with the strength of thermal
fluctuations. In the weak fluctuation regime, the persistence length of a
spontaneously twisted helix has three resonance peaks as a function of the
twist rate. In the limit of strong fluctuations, all memory of the helical
shape is lost.Comment: 1 figur
Theory of High-Force DNA Stretching and Overstretching
Single molecule experiments on single- and double stranded DNA have sparked a
renewed interest in the force-extension of polymers. The extensible Freely
Jointed Chain (FJC) model is frequently invoked to explain the observed
behavior of single-stranded DNA. We demonstrate that this model does not
satisfactorily describe recent high-force stretching data. We instead propose a
model (the Discrete Persistent Chain, or ``DPC'') that borrows features from
both the FJC and the Wormlike Chain, and show that it resembles the data more
closely. We find that most of the high-force behavior previously attributed to
stretch elasticity is really a feature of the corrected entropic elasticity;
the true stretch compliance of single-stranded DNA is several times smaller
than that found by previous authors. Next we elaborate our model to allow
coexistence of two conformational states of DNA, each with its own stretch and
bend elastic constants. Our model is computationally simple, and gives an
excellent fit through the entire overstretching transition of nicked,
double-stranded DNA. The fit gives the first values for the elastic constants
of the stretched state. In particular we find the effective bend stiffness for
DNA in this state to be about 10 nm*kbt, a value quite different from either
B-form or single-stranded DNAComment: 33 pages, 11 figures. High-quality figures available upon reques
Elasticity of semiflexible polymers with and without self-interactions
A {\it new} formula for the force vs extension relation is derived from the
discrete version of the so called {\it worm like chain} model. This formula
correctly fits some recent experimental data on polymer stretching and some
numerical simulations with pairwise repulsive potentials. For a more realistic
Lennard-Jones potential the agreement with simulations is found to be good when
the temperature is above the temperature. For lower temperatures a
plateau emerges, as predicted by some recent experimental and theoretical
results, and our formula gives good results only in the high force regime. We
briefly discuss how other kinds of self-interactions are expected to affect the
elasticity of the polymer.Comment: 8 pages, 10 figure
Single Molecule Statistics and the Polynucleotide Unzipping Transition
We present an extensive theoretical investigation of the mechanical unzipping
of double-stranded DNA under the influence of an applied force. In the limit of
long polymers, there is a thermodynamic unzipping transition at a critical
force value of order 10 pN, with different critical behavior for homopolymers
and for random heteropolymers. We extend results on the disorder-averaged
behavior of DNA's with random sequences to the more experimentally accessible
problem of unzipping a single DNA molecule. As the applied force approaches the
critical value, the double-stranded DNA unravels in a series of discrete,
sequence-dependent steps that allow it to reach successively deeper energy
minima. Plots of extension versus force thus take the striking form of a series
of plateaus separated by sharp jumps. Similar qualitative features should
reappear in micromanipulation experiments on proteins and on folded RNA
molecules. Despite their unusual form, the extension versus force curves for
single molecules still reveal remnants of the disorder-averaged critical
behavior. Above the transition, the dynamics of the unzipping fork is related
to that of a particle diffusing in a random force field; anomalous,
disorder-dominated behavior is expected until the applied force exceeds the
critical value for unzipping by roughly 5 pN.Comment: 40 pages, 18 figure
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