The writhing number of a space curve
TL;DR: This study originated in response to questions that arise in the study of supercoiled double-stranded DNA rings, and measures the extent to which coiling of the central curve has relieved local twisting of the cord.
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Abstract: A geometric invariant of a space curve, the writhing number, is defined and studied. For the central curve of a twisted cord the writhing number measures the extent to which coiling of the central curve has relieved local twisting of the cord. This study originated in response to questions that arise in the study of supercoiled double-stranded DNA rings.
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References
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A treatise on the mathematical theory of elasticity
Augustus Edward Hough Love
- 01 Jan 1892
TL;DR: Webb's work on elasticity as mentioned in this paper is the outcome of a suggestion made to me some years ago by Mr R. R. Webb that I should assist him in the preparation of a work on Elasticity.
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The interaction of closed circular DNA with intercalative dyes. I. The superhelix density of SV40 DNA in the presence and absence of dye
William Bauer,Jerome Vinograd +1 more
TL;DR: The binding results have allowed us to estimate the dependence of the sedimentation coefficient of SV40 I DNA upon the number of superhelical turns in the presence of dye, and that SV40 DNA contains about −13 superhelicals turns in concentrated salt solutions.
623
Physical and topological properties of circular DNA.
Jerome Vinograd,Jacob Lebowitz +1 more
TL;DR: Several types of circular DNA molecules are now known, which are classified as single-stranded rings, covalently closed duplex rings, and weakly bonded Duplex rings containing an interruption in one or both strands.
Early and late helix-coil transitions in closed circular DNA. The number of superhelical turns in polyoma DNA.
TL;DR: It is calculated that the closed circular molecule contains −15 ± 1 superhelical turns in buoyant cesium chloride at neutral pH, and it is estimated that the melting temperature of polyoma I in standard saline citrate should be 107 °C.
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