双语化学辞典Chem Lexicon
本科Undergraduate 酶动力学、结合与生物能学 Enzyme kinetics, binding & bioenergetics

非竞争性(混合型)抑制Noncompetitive / mixed inhibition

\[v_0 = \frac{V_{\max}[\mathrm{S}]}{\alpha K_\mathrm{M} + \alpha'[\mathrm{S}]},\qquad \alpha = 1 + \frac{[\mathrm{I}]}{K_\mathrm{I}},\ \ \alpha' = 1 + \frac{[\mathrm{I}]}{K_\mathrm{I}'}\]

含义Meaning

抑制剂同时能结合 E 和 ES(结合在活性部位以外)。\(K_\mathrm{I} = K_\mathrm{I}'\) 时为纯非竞争性抑制:\(V_{\max}\) 降为 \(V_{\max}/\alpha\),\(K_\mathrm{M}\) 不变。

The inhibitor binds both E and ES (away from the active site). With \(K_\mathrm{I} = K_\mathrm{I}'\) (pure noncompetitive), \(V_{\max}\) falls to \(V_{\max}/\alpha\) and \(K_\mathrm{M}\) is unchanged.

符号说明Symbols

符号Symbol含义 Meaning单位 Unit
\(K_\mathrm{I}'\)抑制剂与 ES 的解离常数dissociation constant of ESImol·L⁻¹
\(\alpha'\)对 ES 的抑制因子inhibition factor for ES1

推导Derivation

  1. 同时有 \(\mathrm{EI}\) 和 \(\mathrm{ESI}\) 两种无活性复合物。

    Two inactive complexes, EI and ESI.

  2. 守恒:\([\mathrm{E}]_0 = \alpha[\mathrm{E}] + \alpha'[\mathrm{ES}]\);结合 \([\mathrm{E}][\mathrm{S}] = K_\mathrm{M}[\mathrm{ES}]\) 解出 [ES]。

    Conservation \([\mathrm{E}]_0 = \alpha[\mathrm{E}] + \alpha'[\mathrm{ES}]\) with the steady state gives [ES].

  3. 表观参数:\(V_{\max}^{\text{app}} = V_{\max}/\alpha'\),\(K_\mathrm{M}^{\text{app}} = \alpha K_\mathrm{M}/\alpha'\)。

    Apparent parameters: \(V_{\max}/\alpha'\) and \(\alpha K_\mathrm{M}/\alpha'\).

适用条件与局限Assumptions & limitations

  • 假设 ESI 完全无催化活性;若部分有活性则为“部分抑制”。

    Assumes ESI is fully inactive; otherwise partial inhibition.