Biophysics of knotting

D Meluzzi, DE Smith, G Arya - Annual review of biophysics, 2010 - annualreviews.org
Knots appear in a wide variety of biophysical systems, ranging from biopolymers, such as
DNA and proteins, to macroscopic objects, such as umbilical cords and catheters. Although …

Simulation of flexible filaments in a uniform flow by the immersed boundary method

WX Huang, SJ Shin, HJ Sung - Journal of computational physics, 2007 - Elsevier
An improved version of the immersed boundary (IB) method is developed for simulating
flexible filaments in a uniform flow. The proposed IB method is based on an efficient Navier …

Ultrafast reversible self-assembly of living tangled matter

VP Patil, H Tuazon, E Kaufman, T Chakrabortty, D Qin… - Science, 2023 - science.org
Tangled active filaments are ubiquitous in nature, from chromosomal DNA and cilia carpets
to root networks and worm collectives. How activity and elasticity facilitate collective …

Compression and self-entanglement of single DNA molecules under uniform electric field

J Tang, N Du, PS Doyle - Proceedings of the National …, 2011 - National Acad Sciences
We experimentally study the effects of a uniform electric field on the conformation of single
DNA molecules. We demonstrate that a moderate electric field (∼ 200 V/cm) strongly …

Spontaneous knotting of an agitated string

DM Raymer, DE Smith - Proceedings of the National …, 2007 - National Acad Sciences
It is well known that a jostled string tends to become knotted; yet the factors governing the
“spontaneous” formation of various knots are unclear. We performed experiments in which a …

Linear random knots and their scaling behavior

K Millett, A Dobay, A Stasiak - Macromolecules, 2005 - ACS Publications
We present here a nonbiased probabilistic method that allows us to consistently analyze
knottedness of linear random walks with up to several hundred noncorrelated steps. The …

Fluid–structure interactions of single and dual wall-mounted 2D flexible filaments in a laminar boundary layer

X Zhang, G He, X Zhang - Journal of Fluids and Structures, 2020 - Elsevier
We numerically investigated the interactions of a laminar boundary layer flow with both
single and dual wall-mounted 2D flexible filaments. The influences of various parameters …

Universal knot spectra for confined polymers

L Dai, PS Doyle - Macromolecules, 2018 - ACS Publications
Knotting is a prevalent phenomenon which occurs at the macroscale (eg, in headphone
cords) and at the microscale (eg, in DNA and proteins). For a confined polymer, the knotting …

Origin of metastable knots in single flexible chains

L Dai, CB Renner, PS Doyle - Physical review letters, 2015 - APS
Recent theoretical progress has explained the physics of knotting of semiflexible polymers,
yet knotting of flexible polymers is relatively unexplored. We herein develop a new theory for …

Dynamics of a flexible magnetic chain in a rotating magnetic field

A Cēbers, I Javaitis - Physical Review E, 2004 - APS
The model of an elastic magnetic rod is applied for a study of a behavior of the flexible
magnetic particle chain in a rotating magnetic field. By numerical simulation it is shown that …