Elastic model of supercoiling.
نویسندگان
چکیده
منابع مشابه
Elastic model of DNA supercoiling in the infinite-length limit
The energies of plectonemic and toroidal supercoiled DNA are calculated by treating DNA as an elastic rod with a finite radius. End effects are ignored and all extensive quantities (e.g., writhe, bend energy) are treated as linear densities (writhe per unit length, bend energy per unit length). Minimum energy configurations are found. For plectonemic DNA, the superhelical pitch angle cz is in t...
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Certain bacteria form filamentous colonies when the cells fail to separate after dividing. In Bacillus subtilis, Bacillus thermus, and Cyanobacteria, the filaments can wrap into complex supercoiled structures as the cells grow. The structures may be solenoids or plectonemes, with or without branches in the latter case. Any microscopic theory of these morphological instabilities must address the...
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The mathematics of elastic rods has been studied for over two centuries since the days of Daniel Bernoulli and Euler in the 1730’s.’ In 1859 Kirchhoff discovered that the equations that describe the thin elastic rod in equilibrium are mathematically identical to those used to describe the dynamics of the heavy top.2 The problem of the heavy symmetric top (now known as the Lagrange top) was solv...
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Continuum mechanical models have been used to regularize ill-posed problems in many applications in medical imaging analysis such as image registration and left ventricular motion estimation. In this work, we present a significant extension to the common elastic model which we call the active elastic model. The active elastic model is designed to reduce bias in deformation estimation and to all...
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We present a method of detecting sequence defects by supercoiling DNA with magnetic tweezers. The method is sensitive to a single mismatched base pair in a DNA sequence of several thousand base pairs. We systematically compare DNA molecules with 0 to 16 adjacent mismatches at 1 M monovalent salt and 3.6 pN force and show that under these conditions, a single plectoneme forms and is stably pinne...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1977
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.74.6.2397