补数DNA构型的旋量公式和对映点
Writhe formulas and antipodal points in plectonemic DNA configurations
摘要:
当描述一段超螺旋DNA的结构时,连接数和扭动数是关键的数量。定义为双螺旋形状上的二重积分,这些数字并不总是直接计算的,尽管存在一个简化的公式。我们研究了这个广泛使用的简化公式的适用范围,并表明它不能用于plectonemic DNA。我们表明,不适用性是由于富勒定理的假设是不满足的。这一假设在许多著作中似乎被忽视了。
英文摘要:
The linking and writhing numbers are key quantities when characterizing the structure of a piece of supercoiled DNA. Defined as double integrals over the shape of the double-helix, these numbers are not always straightforward to compute, though a simplified formula exists. We examine the range of applicability of this widely-used simplified formula, and show that it cannot be employed for plectonemic DNA. We show that inapplicability is due to a hypothesis of Fuller theorem that is not met. The hypothesis seems to have been overlooked in many works.
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