\[\frac{\nu}{[\mathrm{L}]} = \frac{n}{K_d} - \frac{\nu}{K_d}\]
含义Meaning
把多位点独立结合线性化：以 \(\nu/[\mathrm{L}]\) 对 \(\nu\) 作图，斜率 \(-1/K_d\)，横截距为位点数 n。
Linearises independent multi-site binding: plot \(\nu/[\mathrm{L}]\) against \(\nu\); slope \(-1/K_d\), x-intercept n sites.
符号说明Symbols
| 符号Symbol | 含义 Meaning | 单位 Unit |
|---|---|---|
| \(\nu\) | 每个大分子结合的平均配体数average ligands bound per macromolecule | 1 |
| \(n\) | 结合位点数number of sites | 1 |
推导Derivation
n 个独立等价位点：\(\nu = n[\mathrm{L}]/(K_d + [\mathrm{L}])\)。
n independent identical sites: \(\nu = n[\mathrm{L}]/(K_d + [\mathrm{L}])\).
交叉相乘 \(\nu K_d + \nu[\mathrm{L}] = n[\mathrm{L}]\)，两边除以 \(K_d[\mathrm{L}]\) 整理即得。
Cross-multiply and divide by \(K_d[\mathrm{L}]\).
适用条件与局限Assumptions & limitations
直线只在位点独立等价时成立；弯曲表明协同或位点不均一。
Linear only for independent identical sites; curvature indicates cooperativity or heterogeneity.
同样存在线性化导致的误差加权问题，宜非线性拟合。
Linearisation distorts errors; prefer non-linear fitting.