Kirchhoff细丝的自发曲率诱导动力学不稳定性：应用于DNA扭结变形
Spontaneous curvature-induced dynamical instability of Kirchhoff filaments: Application to DNA kink deformations
摘要：
采用具有自发曲率的细丝的基尔霍夫弹性理论来理解在短DNA环中观察到的扭结转变的发生。动力学分析表明，当它的实际曲率小于由自发曲率确定的某个阈值时，环形DNA将开始弯曲成其他形状。通过动力学不稳定性分析确定了DNA的主要形变模式，定性讨论了Zn $^{2+}$和Mg $^{2+}$离子对DNA构型性质的不同影响.
英文摘要：
The Kirchhoff elastic theory of thin filaments with spontaneous curvature is employed in the understanding of the onset of the kink transitions observed in short DNA rings. Dynamical analysis shows that when its actual curvature is less than some threshold value determined by the spontaneous curvature, a circular DNA will begin to buckle to other shapes. The observable and the dominant deformation modes are also determined by dynamical instability analysis, and the different effects of Zn$^{2+}$ and Mg$^{2+}$ ions on DNA configurational properties are qualitatively discussed.
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