双螺旋线中应变-扭转耦合的几何起源
The geometrical origin of the strain-twist coupling in double helices
摘要：
研究了双螺旋线中应变与扭转的几何耦合问题。过度缠绕，其中应变导致进一步缠绕，被证明是一个普遍的属性螺旋，这是拉伸沿其纵向轴线时，初始螺距角低于零扭转角（39.4度）。展开发生在较大的螺旋角。零扭转角是在过卷和退绕之间的点处的唯一螺距角，并且它与双螺旋的机械特性无关。这表明存在零扭转结构，即在应变下既不显示过度缠绕也不显示解绕的结构。估计的过度缠绕的DNA，染色质和RNA。
英文摘要：
The geometrical coupling between strain and twist in double helices is investigated. Overwinding, where strain leads to further winding, is shown to be a universal property for helices, which are stretched along their longitudinal axis when the initial pitch angle is below the zero-twist angle (39.4 deg). Unwinding occurs at larger pitch angles. The zero-twist angle is the unique pitch angle at the point between overwinding and unwinding, and it is independent of the mechanical properties of the double helix. This suggests the existence of zero-twist structures, i.e. structures that display neither overwinding, nor unwinding under strain. Estimates of the overwinding of DNA, chromatin, and RNA are given.
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