We show how equilibrium binding curves of receptor homodimers can be expressed as rational polynomial functions of the equilibrium binding curves of the constituent monomers, without approximation and without assuming independence of receptor monomers. Using a distinguished spanning tree construction for reduced graph powers, the method properly accounts for thermodynamic constraints and allosteric interactions between receptor monomers (i.e. conformational coupling). The method is completely general; it begins with an arbitrary undirected graph representing the topology of a monomer state-transition diagram and ends with an algebraic expression for the equilibrium binding curve of a receptor oligomer composed of two or more identical and indistinguishable monomers. Several specific examples are analysed, including guanine nucleotide-binding protein-coupled receptor dimers and tetramers composed of multiple ‘ternary complex’ monomers.

中文翻译：

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寡聚受体模型中的变构。

我们展示了受体同二聚体的平衡结合曲线如何表示为组成单体的平衡结合曲线的有理多项式函数，而无需近似且不假设受体单体的独立性。通过使用独特的生成树结构来降低图形能力，该方法可以适当考虑到热力学约束和受体单体之间的构构相互作用（即构象偶联）。该方法是完全通用的。它以代表单体状态转变图拓扑的任意无向图开始，并以代数表达式表示由两个或多个相同且不可区分的单体组成的受体低聚物的平衡结合曲线。分析了几个具体的例子，