Allostery pervades macromolecular function and drives cooperative binding of ligands to macromolecules. To decipher the mechanisms of cooperative ligand binding it is necessary to define at a microscopic level the structural and thermodynamic consequences of binding of each ligand to its allosterically coupled site(s). However, dynamic sampling of alternative conformations (microstates) in allosteric molecules complicates interpretation of both structural and thermodynamic data. Isothermal titration calorimetry has the potential to directly quantify the thermodynamics of allosteric interactions, but usually falls short of enabling mechanistic insight. This is because 1) its measurements reflect the sum of overlapping caloric processes involving binding-linked population shifts within and between microstates, and 2) data are generally fit with phenomenological binding polynomials that are underdetermined. Nevertheless, temperature-dependent binding data have the potential to resolve overlapping thermodynamic processes, while mechanistically constrained models enable hypothesis testing and identification of informative parameters. We globally fit temperature-dependent isothermal titration calorimetry data for binding of 11 tryptophan ligands to the homo-undecameric trp RNA-binding Attenuation Protein from Bacillus stearothermophilus using nearest-neighbor statistical thermodynamic models. This approach allowed us to distinguish alternative nearest-neighbor interaction models, and quantifies the thermodynamic contribution of neighboring ligands to individual binding sites. We also perform conventional Hill equation modeling and illustrate how comparatively limited it is in quantitative or mechanistic value. This work illustrates the potential of mechanistically constrained global fitting of binding data to yield the microscopic thermodynamic parameters essential for deciphering mechanisms of cooperativity in a wide range of ligand-regulated homo-oligomeric assemblies.
Allostery pervades macromolecular function and drives cooperative binding of ligands to macromolecules. To decipher the mechanisms of cooperative ligand binding it is necessary to define, at a microscopic level, the thermodynamic consequences of binding of each ligand to its energetically coupled site(s). However, extracting these microscopic constants is difficult for macromolecules with more than two binding constants. This goal is complicated because the observable (e.g., NMR chemical shift changes, fluorescence, enthalpy) can be altered by allostery, thereby distorting its proportionality to populations of states. Because it measures mass, native mass spectrometry (MS) can directly quantify the populations of homo-oligomeric protein species with different numbers of bound ligands, provided the populations are proportional to ion counts and that MS-compatible electrolytes do not alter the overall thermodynamics. These measurements can help decipher allosteric mechanisms by providing unparalleled access to the statistical thermodynamic partition function. We used native MS (nMS) to study the cooperative binding of tryptophan (Trp) to Bacillus stearothermophilus trp RNA-binding attenuation protein (TRAP), a ring-shaped homo-oligomeric protein complex with 11 identical binding sites. Mass spectrometrycompatible solutions did not significantly perturb protein structure and thermodynamics as assessed by ITC and NMR spectroscopy. Populations of Trpn-TRAP11 states were quantified as a function of Trp concentration by native mass spectrometry.Population distributions cannot be explained by a non-cooperative binding model but are well described by a nearest neighbor cooperative model. Non-linear least-squares fitting of the populations to a mechanistic model yielded microscopic thermodynamic constants that define the interactions between neighboring binding sites that result in homotropic cooperativity in Trp binding to TRAP. File list (2) download file view on ChemRxiv TrpTRAP_manuscript_mainbody-mf.pdf (1.22 MiB) download file view on ChemRxiv PLH_20200428_TrpTRAP_suppinfo.pdf (0.96 MiB)
Allostery pervades macromolecular function and drives cooperative binding of ligands to macromolecules. To decipher the mechanisms of cooperative ligand binding it is necessary to define, at a microscopic level, the thermodynamic consequences of binding of each ligand to its energetically coupled site(s). However, extracting these microscopic constants is difficult for macromolecules with more than two binding constants. This goal is complicated because the observable (e.g., NMR chemical shift changes, fluorescence, enthalpy) can be altered by allostery, thereby distorting its proportionality to populations of states. Because it measures mass, native mass spectrometry (MS) can directly quantify the populations of homo-oligomeric protein species with different numbers of bound ligands, provided the populations are proportional to ion counts and that MS-compatible electrolytes do not alter the overall thermodynamics. These measurements can help decipher allosteric mechanisms by providing unparalleled access to the statistical thermodynamic partition function. We used native MS (nMS) to study the cooperative binding of tryptophan (Trp) to Bacillus stearothermophilus trp RNA-binding attenuation protein (TRAP), a ring-shaped homo-oligomeric protein complex with 11 identical binding sites. Mass spectrometrycompatible solutions did not significantly perturb protein structure and thermodynamics as assessed by ITC and NMR spectroscopy. Populations of Trpn-TRAP11 states were quantified as a function of Trp concentration by native mass spectrometry. Population distributions cannot be explained by a non-cooperative binding model but are well described by a nearest neighbor cooperative model. Non-linear least-squares fitting of the populations to a mechanistic model yielded microscopic thermodynamic constants that define the interactions between neighboring binding sites that result in homotropic cooperativity in Trp binding to TRAP.
Homo‐oligomeric ligand‐activated proteins are ubiquitous in biology. The functions of such molecules are commonly regulated by allosteric coupling between ligand‐binding sites. Understanding the basis for this regulation requires both quantifying the free energy ΔG transduced between sites, and the structural basis by which it is transduced. We consider allostery in three variants of the model ring‐shaped homo‐oligomeric trp RNA‐binding attenuation protein (TRAP). First, we developed a nearest‐neighbor statistical thermodynamic binding model comprising microscopic free energies for ligand binding to isolated sites ΔG0, and for coupling between adjacent sites, ΔGα. Using the resulting partition function (PF) we explored the effects of these parameters on simulated population distributions for the 2N possible liganded states. We then experimentally monitored ligand‐dependent population shifts using conventional spectroscopic and calorimetric methods and using native mass spectrometry (MS). By resolving species with differing numbers of bound ligands by their mass, native MS revealed striking differences in their ligand‐dependent population shifts. Fitting the populations to a binding polynomial derived from the PF yielded coupling free energy terms corresponding to orders of magnitude differences in cooperativity. Uniquely, this approach predicts which of the possible 2N liganded states are populated at different ligand concentrations, providing necessary insights into regulation. The combination of statistical thermodynamic modeling with native MS may provide the thermodynamic foundation for a meaningful understanding of the structure–thermodynamic linkage that drives cooperativity.
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