ArticlePhysical review. E, Statistical, nonlinear, and soft matter physics2005
Exact theory of kinkable elastic polymers.
Article in Physical review. E, Statistical, nonlinear, and soft matter physics, 2005. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 67 papers.
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Who cites it
67 citing papers in PubMed.
- cgNA+min: computation of sequence-dependent dsDNA energy-minimizing minicircles.Nucleic acids research · 2026Article
- Inferring DNA Kinkability from Biased MD Simulations.Journal of chemical theory and computation · 2026Article
- The effects of DMSO on DNA conformations and mechanics.Biophysical journal · 2025Article
- Predictions of DNA mechanical properties at a genomic scale reveal potentially new functional roles of DNA flexibility.NAR genomics and bioinformatics · 2023Article
- Characterizing stochastic cell-cycle dynamics in exponential growth.Physical review. E · 2022Article
- Understanding the paradoxical mechanical response of in-phase A-tracts at different force regimes.Nucleic acids research · 2020Article
- Dynamics of the Buckling Transition in Double-Stranded DNA and RNA.Biophysical journal · 2020Article
- Revealing in real-time a multistep assembly mechanism for SV40 virus-like particles.Science advances · 2020Article
- Thermal fracture kinetics of heterogeneous semiflexible polymers.Soft matter · 2020Article
- A Tour de Force on the Double Helix: Exploiting DNA Mechanics To Study DNA-Based Molecular Machines.Biochemistry · 2019Review
- Strongly Bent Double-Stranded DNA: Reconciling Theory and Experiment.Frontiers in physics · 2019Article
- Identifying Physical Causes of Apparent Enhanced Cyclization of Short DNA Molecules with a Coarse-Grained Model.Journal of chemical theory and computation · 2019Article
- Strong deformations of DNA: Effect on the persistence length.The European physical journal. E, Soft matter · 2018Article
- TFIIH generates a six-base-pair open complex during RNAP II transcription initiation and start-site scanning.Nature structural & molecular biology · 2017Article
- Two conformational states in D-shaped DNA: Effects of local denaturation.Scientific reports · 2016Article
- Structure and dynamics of DNA loops on nucleosomes studied with atomistic, microsecond-scale molecular dynamics.Nucleic acids research · 2016Article
- Sequence Affects the Cyclization of DNA Minicircles.The journal of physical chemistry letters · 2016Article
- AFM-Based Single Molecule Techniques: Unraveling the Amyloid Pathogenic Species.Current pharmaceutical design · 2016Review
- Revisiting the Anomalous Bending Elasticity of Sharply Bent DNA.Biophysical journal · 2015Article
- Dynamic Release of Bending Stress in Short dsDNA by Formation of a Kink and Forks.Angewandte Chemie (International ed. in English) · 2015Article
7 more citing papers are in PubMed but not listed here.
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3 authors.
Funding
Abstract
The importance of nonlinearities in material constitutive relations has long been appreciated in the continuum mechanics of macroscopic rods. Although the moment (torque) response to bending is almost universally linear for small deflection angles, many rod systems exhibit a high-curvature softening. The signature behavior of these rod systems is a kinking transition in which the bending is localized. Recent DNA cyclization experiments by Cloutier and Widom have offered evidence that the linear-elastic bending theory fails to describe the high-curvature mechanics of DNA. Motivated by this recent experimental work, we develop a simple and exact theory of the statistical mechanics of linear-elastic polymer chains that can undergo a kinking transition. We characterize the kinking behavior with a single parameter and show that the resulting theory reproduces both the low-curvature linear-elastic behavior which is already well described by the worm-like chain model, as well as the high-curvature softening observed in recent cyclization experiments.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.