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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Applied Mathematics

William & Mary

2020

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Full-Text Articles in Physical Sciences and Mathematics

Allostery In Oligomeric Receptor Models, Gregory D. Conradi Smith Sep 2020

Allostery In Oligomeric Receptor Models, Gregory D. Conradi Smith

Arts & Sciences Articles

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 …