INVERSION FORMULAS FOR ELLIPSOID OF REVOLUTION MACROMOLECULAR SHAPE FUNCTIONS
INVERSION FORMULAS FOR ELLIPSOID OF REVOLUTION MACROMOLECULAR SHAPE FUNCTIONS
复制标题
DOI：
10.1006/abio.1995.1324
复制
发表时间：
1995-06-10
影响因子：
2.9
通讯作者：
COLFEN, H
中科院分区：
文献类型：
--
作者：
HARDING, SE;COLFEN, H
长期以来，将旋转椭球形状参数与轴比(a/b)联系起来的显式关系一直是可用的，但不可能直接对这些函数进行逆运算以得到a/b作为形状参数的函数，因此在过去需要用图形或表格插值法。通过使用简单的无约束多项式展开，这种限制不再是必要的。对于两个显著的水化相关形状函数(P来自摩阻比，nu来自特性粘度)和四个显著的水化无关形状函数(来自沉降值和粘度测量值的β和R，以及来自粘度测量分别与荧光去偏振或热力学第二维里系数测量相结合的Lambda和Il)，给出了1.1<；a/b<；2.0，2<；a/b<；10和10<；a/b<；a/b<；100范围内的多项式展开系数(不超过七阶)。多项式系数与实际数据值的拟合很好，但有四种不太有趣的情况(形状函数对实际使用太不敏感)。(C)1995年学术出版社。
Explicit relations linking ellipsoid of revolution shape parameters with the axial ratio (a/b) have been available for a long time, It is not possible to directly invert these functions to give a/b as a function of the shape parameter, so in the past graphical or tabular interpolation methods have been necessary. By the use of simple unconstrained polynomial expansions this restriction is no longer necessary. For the two salient hydration-dependent shape functions (P from the frictional ratio and nu from the intrinsic viscosity) and the four salient hydration-independent shape functions (beta and R, both from sedimentation and viscosity measurements, and Lambda and Il from combining viscosity measurements with respectively fluorescence depolarization or thermodynamic second virial coefficient measurements) the polynomial expansion coefficients (to no more than seventh order) are given for the ranges 1.1 < a/b < 2.0, 2 < a/b < 10, and 10 < a/b < 100. The polynomial coefficients give an excellent fit to the real data values, except for four uninteresting cases (where the shape function is too insensitive for practical use). (C) 1995 Academic Press, Inc.