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- W2041349944 abstract "In an ongoing effort to model the mechanical behavior of the nucleosome core particle in terms of elasticity theory, we study the bending fluctuations of an elastic line (nucleosomal DNA) confined to a curved surface (outside surface of the histone octamer). We define what is meant by a bending fluctuation by generalizing from the plane, where a relaxed elastic line is a segment of a straight line, a fluctuation carries the straight segment to an arc of a circle, and the measure of the extent of bending is the total curvature of the arc. It is then natural to measure the extent of a bending fluctuation on a general surface by the total geodesic curvature of the arc into which the elastic line is carried by the fluctuation. The path of the bent elastic line must satisfy a differential equation on the surface, which is derived by variational methods. The bending energy per unit length scales with the square of the extent of bending (Hooke’s law) if the surface is a plane or a sphere, but not generally. For application to the nucleosome core particle, bending fluctuations on a cylinder are analyzed. A relaxed elastic line on a cylinder can follow a circumferential trajectory only if its length l does not exceed a critical value lcrit. For subcritical lengths, a fluctuational bend away from the circumferential path requires an amount of energy that does not conform to Hooke’s law. The energy vanishes at the critical length (to lowest order in the square of the bending angle) and the mean-square thermal bending amplitude diverges, an event that could be related to conformational changes of the nucleosome core particle. A formal analogy between bending of an elastic line on a cylinder and the Landau theory of second-order phase transitions is explored in detail." @default.
- W2041349944 created "2016-06-24" @default.
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- W2041349944 date "1992-03-01" @default.
- W2041349944 modified "2023-09-27" @default.
- W2041349944 title "Bending fluctuations of an elastic line on a curved surface" @default.
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- W2041349944 doi "https://doi.org/10.1063/1.461850" @default.
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