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Statistical mechanics of supercoiled DNAby: J. F. Marko, E. D. Siggia
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AbstractThe two strands of a closed circular DNA molecule possess as a topological invariant their linking number. This property; combined with an appreciable twist elastic constant; causes the double helix to assume a supercoiled conformation in space when a nonequilibrium twist is imposed. Thermal fluctuations play a crucial role in determining the conformation of supercoils; setting the linking number scale at which a well defined interwound supercoil forms. In addition to equilibrium supercoil structure; we discuss supercoil bending and branching and show how at large scales supercoiled DNA becomes a branched polymer. The characteristic time required for intrasupercoil reactions to occur and the force necessary to extend twisted DNA are also derived.
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