Dynamics of undulatory fluctuations of semiflexible filaments in a network.

@article{Kernes2020DynamicsOU,
  title={Dynamics of undulatory fluctuations of semiflexible filaments in a network.},
  author={Jonathan Kernes and Alex J. Levine},
  journal={Physical review. E},
  year={2020},
  volume={102 6-1},
  pages={
          062406
        }
}
We study the dynamics of a single semiflexible filament coupled to a Hookean spring at its boundary. The spring produces a fluctuating tensile force on the filament, the value of which depends on the filament's instantaneous end-to-end length. The spring thereby introduces a nonlinearity, which mixes the undulatory normal modes of the filament and changes their dynamics. We study these dynamics using the Martin-Siggia-Rose-Janssen-De Dominicis formalism, and compute the time-dependent… 
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References

SHOWING 1-10 OF 70 REFERENCES
Equilibrium fluctuations of a semiflexible filament cross linked into a network.
TLDR
This work provides the theoretical framework necessary to analyze activity microrheology, which uses the observed filament fluctuations as a noninvasive probe of tension in the network.
Dynamic Fluctuations of Semiflexible Filaments
We develop a scaling theory to describe dynamic fluctuations of a semiflexible polymer and find several distinct regimes. We performed simulations to characterize the longitudinal and transverse
Tension dynamics in semiflexible polymers. II. Scaling solutions and applications.
TLDR
Detailed and explicit analytical predictions for the tension propagation and relaxation and corresponding results for common observables, such as the end-to-end distance, are obtained.
Tension dynamics in semiflexible polymers. I. Coarse-grained equations of motion.
TLDR
Based on the wormlike chain model, a coarse-grained description of the nonlinear dynamics of a weakly bending semiflexible polymer is developed by means of a multiple-scale perturbation analysis to reveal the deterministic nature of the spatio temporal relaxation of the backbone tension.
Mechanical response of semiflexible networks to localized perturbations.
TLDR
It is shown that the previously identified nonaffinity length controls the mesoscopic response to point forces and the crossover to continuum elastic behavior at large distances.
A unit-cell approach to the nonlinear rheology of biopolymer solutions
We propose a nonlinear extension of the standard tube model for semidilute solutions of freely-sliding semiflexible polymers. Non-affine filament deformations at the entanglement scale, the
The mechanics and fluctuation spectrum of active gels.
TLDR
A two-fluid model of a low-density semiflexible network driven by molecular motors is developed and it is shown that, relying on only simple assumptions regarding the motor activity in the system, it can quantitatively understand both the low-frequency fluctuation enhancement and the nonequilibrium stiffening of the network.
Nonlinear elasticity of stiff filament networks: strain stiffening, negative normal stress, and filament alignment in fibrin gels.
Many biomaterials formed by cross-linked semiflexible or rigid filaments exhibit nonlinear theology in the form of strain-stiffening and negative normal stress when samples are deformed in simple
From Semi-Flexible Polymers to Membranes: Anomalous Diffusion and Reptation
The dynamics of semi-flexible polymers and membranes is discussed. The effect of thermal undulations on both the transversal and longitudinal Mean Square Displacement (MSD) of a tagged monomer is
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