Multithermal titration calorimetry: A rapid method to determine binding heat capacities

Exploring interfacial water trapping in protein-ligand complexes with multithermal titration calorimetry

In this work, we examine the hypothesis about how trapped water molecules at the interface between triosephosphate isomerase (TIM) and either of two phosphorylated inhibitors, 2-phosphoglycolate (2PG) or phosphoglycolohydroxamate (PGH), can explain the anomalous highly negative binding heat capacities (ΔC_p,b) of both complexes, TIM-2PG and TIM-PGH. We performed fluorimetric titrations of the enzyme with PGH inhibitor under osmotic stress conditions, using various concentrations of either osmolyte: sucrose, ethylene glycol or glycine betaine. We also analyze the binding processes under various stressor concentrations using a novel calorimetric methodology that allows ΔC_p,b determinations in single experiments: Multithermal Titration Calorimetry. The binding constant of the TIM-PGH complex decreased gradually with the concentration of all osmolytes, but at diverse extents depending on the osmolyte nature. According to the osmotic stress theory, this decrease indicates that the number of water molecules associated with the enzyme increases with inhibitor binding, i.e. some solvent molecules became trapped. Additionally, the binding heat capacities became less negative at higher osmolyte concentrations, their final values depending on the osmolyte. These effects were also observed in the TIM-2PG complex using sucrose as stressor. Our results strongly suggest that some water molecules became immobilized when the TIM-inhibitor complexes were formed. A computational analysis of the hydration state of the binding site of TIM in both its free state and its complexed form with 2PG or PGH, based on molecular dynamics (MD) simulations in explicit solvent, showed that the binding site effectively immobilized additional water molecules after binding these inhibitors.

Single-experiment displacement assay for quantifying high-affinity binding by isothermal titration calorimetry

Isothermal titration calorimetry (ITC) is the gold standard for dissecting the thermodynamics of a biomolecular binding process within a single experiment. However, reliable determination of the dissociation constant (KD) from a single titration is typically limited to the range 100 μM>KD>1 nM. Interactions characterized by a lower KD can be assessed indirectly by so-called competition or displacement assays, provided that a suitable competitive ligand is available whose KD falls within the directly accessible window. However, this protocol is limited by the fact that it necessitates at least two titrations to characterize one high-affinity inhibitor, resulting in considerable consumption of both sample material and time. Here, we introduce a fast and efficient ITC displacement assay that allows for the simultaneous characterization of both a high-affinity ligand and a moderate-affinity ligand competing for the same binding site on a receptor within a single experiment. The protocol is based on a titration of the high-affinity ligand into a solution containing the moderate-affinity ligand bound to the receptor present in excess. The resulting biphasic binding isotherm enables accurate and precise determination of KD values and binding enthalpies (ΔH) of both ligands. We discuss the theoretical background underlying the approach, demonstrate its practical application to metal ion chelation, explore its potential and limitations with the aid of simulations and statistical analyses, and elaborate on potential applications to protein-inhibitor interactions.

Binding thermodynamics of phosphorylated inhibitors to triosephosphate isomerase and the contribution of electrostatic interactions

Electrostatic interactions have a central role in some biological processes, such as recognition of charged ligands by proteins. We characterized the binding energetics of yeast triosephosphate isomerase (TIM) with phosphorylated inhibitors 2-phosphoglycollate (2PG) and phosphoglycolohydroxamate (PGH). We determined the thermodynamic parameters of the binding process (K(b), ΔG(b), ΔH(b), ΔS(b) and ΔC(p)) with different concentrations of NaCl, using fluorimetric and calorimetric titrations in the conventional mode of ITC and a novel method, multithermal titration calorimetry (MTC), which enabled us to measure ΔC(p) in a single experiment. We ruled out specific interactions of Na(+) and Cl(-) with the native enzyme and did not detect significant linked protonation effects upon the binding of inhibitors. Increasing ionic strength (I) caused K(b), ΔG(b) and ΔH(b) to become less favorable, while ΔS(b) became less unfavorable. From the variation of K(b) with I, we determined the electrostatic contribution of TIM-2PG and TIM-PGH to ΔG(b) at I=0.06 M and 25 °C to be 36% and 26%, respectively. The greater affinity of PGH for TIM is due to a more favorable ΔH(b) compared to 2PG (by 19-24 kJ mol(-1) at 25 °C). This difference is compatible with PGH establishing up to five more hydrogen bonds with TIM. Both binding ΔC(p)s were negative, and less negative with increasing ionic strength. ΔC(p)s at I=0.06 M were much more negative than predicted by surface area models. Water molecules trapped in the interface when ligands bind to protein could explain the highly negative ΔCps. Thermodynamic binding functions for TIM-2PG changed more with ionic strength than those for TIM-PGH. This greater dependence is consistent with linked, but compensated, protonation equilibriums yielding the dianionic species of 2PG that binds to TIM, process that is not required for PGH.