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During transcription,RNA Polymerases(RNAPs)generate the supercoils along DNA by imposing torques on it.The supercoiling regulates the transcription in turn.To understand the interplay of RNAP and supercoiling,we investigated the dynamics of supercoiling generated by constant torque.We studied the mechanical behaviors of supercoiling and performed Brownian dynamics(BD)simulations to support our mechanical analyses.Based on the analytical results and the BD simulations,we discussed the time-dependent supercoiling processes and attempted to explain how supercoiling regulates the transcription velocity.