起伏对自发辫形成的影响
The effect of undulations on Spontaneous Braid formation
摘要：
本文是对最近的一项工作的扩展，该工作表明，依赖于螺旋结构的力可能导致两个DNA分子自发地编织[R。Cortini等人，Biophys. J. 101，875（2011）]。在这里，弯曲的DNA中心线的编织轴的波动被纳入编织理论。重新计算这对分子的自由能，并将其与不包含波动的值进行比较。我们发现，由于分子在辫子中的限制，构型熵的损失是相当高的。这种对自由能的贡献推高了由于螺旋依赖力而自发编织所需的吸引力的量。这一理论将在以后的工作中进一步发展为机械力作用下的缀素和辫子。
英文摘要：
This paper extends on a recent work where it was shown that forces dependent on the helical structure may cause two DNA molecules to spontaneously braid [R. Cortini et Al, Biophys. J. 101, 875 (2011)]. Here, bending fluctuations of DNA centre lines about the braid axis are incorporated into the braiding theory. The free energy of the pair of molecules is recalculated and compared to its value without incorporating undulations. We find that the loss of configurational entropy due to confinement of the molecules in the braid is rather high. This contribution to the Free Energy pushes up the amount of attraction needed for spontaneous braiding due to helix dependant forces. The theory will be further developed for plectonemes and braids under mechanical forces, in later work.
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