Elasticity of semiflexible polymers

Samuel, Joseph; Sinha, Supurna

doi:10.1103/physreve.66.050801

Cited by 98 publications

(151 citation statements)

References 11 publications

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“…The plots forQ( r) for various β = L LP , the ratio of the contour length L to the persistence length L P , reveal the dependence of the end to end distance vector on the rigidity of the polymer (See Fig. [4] in [7]). …”

Section: Ring Closure Probability Distributionmentioning

confidence: 99%

“…We do an eigenspectrum analysis ofP (f ) and determineQ( r) using tomographic transformations outlined in [7]. Here we address a question which is of current interest to application of polymer physics to biology: cyclization of actin filaments [5].…”

Section: Ring Closure Probability Distributionmentioning

confidence: 99%

“…One of the key quantities characterizing the elasticity of a biopolymer isQ( r), the probability distribution for the end to end distance vector r between the two ends of the polymer as it gets jiggled around by thermal fluctuations in a cellular environment [7]. In [7] we use a method for solving the wormlike chain model for semiflexible polymers to any desired accuracy over the entire range of polymer lengths to determineQ( r). The plots forQ( r) for various β = L LP , the ratio of the contour length L to the persistence length L P , reveal the dependence of the end to end distance vector on the rigidity of the polymer (See Fig.…”

Section: Ring Closure Probability Distributionmentioning

confidence: 99%

“…A is the bending elastic constant and the curvature κ = | dt ds |. One of the key quantities characterizing the elasticity of a biopolymer isQ( r), the probability distribution for the end to end distance vector r between the two ends of the polymer as it gets jiggled around by thermal fluctuations in a cellular environment [7]. In [7] we use a method for solving the wormlike chain model for semiflexible polymers to any desired accuracy over the entire range of polymer lengths to determineQ( r).…”

Section: Ring Closure Probability Distributionmentioning

confidence: 99%

“…Our starting point is the pure bend Worm Like Chain (WLC) model [7]. In this model, the polymer configuration is viewed as a space curve x(s).…”

Section: Ring Closure Probability Distributionmentioning

confidence: 99%

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Ring closure in actin polymers

Sinha

Chattopadhyay

2017

Physics Letters A

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Section: Ring Closure Probability Distributionmentioning

confidence: 99%

Section: Ring Closure Probability Distributionmentioning

confidence: 99%

Section: Ring Closure Probability Distributionmentioning

confidence: 99%

Section: Ring Closure Probability Distributionmentioning

confidence: 99%

“…Our starting point is the pure bend Worm Like Chain (WLC) model [7]. In this model, the polymer configuration is viewed as a space curve x(s).…”

Section: Ring Closure Probability Distributionmentioning

confidence: 99%

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Ring closure in actin polymers

Sinha

Chattopadhyay

2017

Physics Letters A

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Elastic Properties of Semi‐Flexible Chains and Networks

Cifra

Bleha

2007

Macromolecular Symposia

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Summary: Elastic properties of noncharged polymers of stiffness ranging from flexible to rigid chains are determined from Monte Carlo simulations. The discrete wormlike chain (WLC) model with self-interacting units is applied to chains of intermediate lengths. Elastic free energy and the force-extension profiles of chains of variable stiffness are computed in an isometric ensemble. Occurrence of a plateau on the force-extension curves at intermediate chain stiffness is noted. Qualitative differences are found between force profiles from simulations and from the standard (ideal) WLC model. The single-chain data on influence of bending stiffness were employed in the three-chain model of networks. Stress-strain relations for networks show a highly nonlinear behavior with the marked strain-stiffening effect.

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Isometric and Isotensional Force‐Length Profiles in Polymethylene Chains

Zemanová

Bleha

2005

Macro Theory & Simulations

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Summary: The force‐length curves and related thermodynamic quantities of single polymethylene (PM) chains in the high‐force region were calculated by the statistical mechanics. Two statistical mechanics ensembles (isometric and isotensional) were used to represent the chain stretching under the conditions, respectively, of the fixed length L or of the fixed force F in single‐chain experiments by AFM and related techniques. The input deformation potentials of highly extended conformations of PM chains were obtained from the molecular‐mechanics calculations. Variations of the energy, entropy, and Helmholtz energy with the end‐to‐end length L of chains were computed under the condition of fixed length. The ensuing isometric profile of the mean force 〈F〉(L) is non‐monotonic, featuring a sawtooth‐like pattern of ascending peaks. In contrast, the mechanical equation under isotensional conditions, given by the variation of the mean length 〈L〉(F), shows a conventional monotonous shape with a distinct plateau region at low temperatures. The considerable difference in the shapes of 〈F〉(L) and 〈L〉(F) curves arises from the large fluctuations of mean values due to the small number of conformers present in molecules at high strains. The computed data should be relevant to the AFM stretching experiments on short polyethylenes or on other soft matter materials involving linear paraffinic chains. It is argued that the dual character of elastic response described by the conjugated force profiles is a universal feature of mechanochemistry of chain molecules whenever the chain length discontinuously increases at a transition.Force‐length curves of short polymethylene chains at 300 K.magnified imageForce‐length curves of short polymethylene chains at 300 K.

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Elasticity of semiflexible polymers

Cited by 98 publications

References 11 publications

Ring closure in actin polymers

Ring closure in actin polymers

Elastic Properties of Semi‐Flexible Chains and Networks

Isometric and Isotensional Force‐Length Profiles in Polymethylene Chains

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