Generalized Force−Extension Relation for Wormlike Chains in Slit Confinement

Chen, Yeng-Long; Lin, Po-Keng; Chou, Chia-Fu

doi:10.1021/ma102268b

Cited by 26 publications

(53 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…While examining the coil-stretch transition in cross-slot devices, Tang et al 688 suggested that the source of the two distinct relaxation times may come from the way in which DNA force-extension behavior is modified by slit confinement. A recent simulation study 692 has suggested however that a simple generalization (using the equilibrium stretch at zero force) of the Marko-Siggia interpolation formula in Eq. (1) describes the polymer behavior well.…”

Section: Dna Stretchingmentioning

confidence: 99%

See 1 more Smart Citation

Beyond Gel Electrophoresis: Microfluidic Separations, Fluorescence Burst Analysis, and DNA Stretching

et al. 2012

View full text Add to dashboard Cite

Section: Dna Stretchingmentioning

confidence: 99%

“…Both the effects of hydrodynamics on the diffusion and relaxation of DNA in slits and the role of confinement in the force-extension behavior of DNA remain active areas of research. 692–694 …”

Section: Dna Stretchingmentioning

confidence: 99%

Beyond Gel Electrophoresis: Microfluidic Separations, Fluorescence Burst Analysis, and DNA Stretching

et al. 2012

View full text Add to dashboard Cite

“…We follow the approach of Chen et al [31] and use the parallel correlation measurements to define L ξ (h) as shown in Fig. 2.…”

Section: Introductionmentioning

confidence: 99%

Force–Extension for DNA in a Nanoslit: Mapping between the 3D and 2D Limits

Haan

Shendruk

2015

ACS Macro Lett.

View full text Add to dashboard Cite

The force−extension relation for a semiflexible polymer confined in a nanoslit is investigated. Both the effective correlation length and force−extension relation change as the chain goes from 3D (large slit heights) to 2D (tight confinement). At low forces, correlations along the polymer give an effective dimensionality. The strong force limit can be interpolated with the weak force limit for two regimes: when confinement dominates over extensile force and vice versa. These interpolations give good agreement with simulations for all slit heights and forces. We thus generalize the Marko-Siggia force− extension relation for DNA and other semiflexible biopolymers in nanoconfinement.M any recent studies have focused on static 1−9 and dynamic 10−15 properties of semiflexible biopolymers, such as DNA, within nanoslits, 16,17 nanochannels, 18−21 and crowded environments. 22−24 Here, we study polymers of contour length L C confined within nanoslits and subjected to a stretching force F with resulting extension x. We seek to generalize the Marko-Siggia (MS) force−extension relation (FER) to confined environments. Experimental examples include DNA stretched by electric fields in nanoslits 25 and tug-of-war or nanopit-type devices. 26−29 Both the 3D 30,31 and the 2D 32 limits of the FER have been studied extensively, but few studies investigate the crossover from 3D to 2D with confinement. 33 While scaling theories quite successfully predict conformations and dynamics of confined macromolecules, 34

show abstract

“…1.1038 ± 0.0006 [19] 0.09137 ± 0.00007 [19] 1.1032 ± 0.0001 [20] 0.09143 ± 0.0001 [20] In addition, a slit of separation H can be regarded as a rectangular tube with height, Hh=H, and infinite width. Statistical properties of polymer chains confined in the slit have been extensively studied [22][23][24][25][26][27] based on Monte Carlo simulations and eigenvalue analysis. The deflection length in strong confinement regime has been confirmed to follow the Odijk scaling law…”

Section: Introductionmentioning

confidence: 99%

Statistical Behaviours of Semiflexible Polymer Chains Stretched in Rectangular Tubes

Wang¹,

Li²

2018

Preprint

View full text Add to dashboard Cite

We quantitatively investigated the statistical behaviors of semiflexible polymer chains, which are simultaneously subjected to force stretching and rectangular tube confinement. Based on the wormlike chain model and Odijk deflection theory, we derived a new deflection length, by which new compact formulas are obtained for the confinement free energy and force-confinement-extension relation. These newly derived formulas have been justified by numerical solutions of an eigenvalue problem associated with the Fokker-Planck governing equation and extensive Brownian dynamics simulations based on the so-called Generalized Bead-Rod (GBR) model. We found that, comparing to the classical deflection theory, these new formulas are valid for a much extended range of the confinement-size /persistence-length ratio, and have no adjustable fitting parameters for sufficient long semiflexible chains in the whole deflection regime.

show abstract

Generalized Force−Extension Relation for Wormlike Chains in Slit Confinement

Cited by 26 publications

References 35 publications

Beyond Gel Electrophoresis: Microfluidic Separations, Fluorescence Burst Analysis, and DNA Stretching

Beyond Gel Electrophoresis: Microfluidic Separations, Fluorescence Burst Analysis, and DNA Stretching

Force–Extension for DNA in a Nanoslit: Mapping between the 3D and 2D Limits

Statistical Behaviours of Semiflexible Polymer Chains Stretched in Rectangular Tubes

Contact Info

Product

Resources

About