Wei Li Department of Chemistry University of Victoria Winter, 2013 Measurement of Binding Constants and Heats of Binding using Isothermal Titration Calorimeter

Acknowledgement Professor Hof Classmates

Outline Thermodynamic parameters Isothermal titration calorimeter (ITC) ITC development history Advantages of using ITC Basic configuration of an ITC Sample preparation Raw data and plot of processed data Systematic errors References

Thermodynamic Parameters When characterizing interactions between a biological macromolecule M and a small ligand X, or between two macromolecules, M + X = MX MX + X = MX 2 ……. MX n-1 + X = MX n, K = [MXn]/[MXn-1] X]  G =  G° + RTlnK (Standard conditions: 1 mole of P and 1 mole of L at PH7 and 25° C) At equilibrium, under standard conditions,  G = 0.  G° = -RTlnK =  H° - T  S° The single-site binding constant K,  H°, and the number of sites n are the independent variables of thermodynamic interest.  G° and  S° of binding are dependent variables obtained by the calculation.

Thermodynamic Parameters Entropy Hydrophobic interactions Water release Ion release Conformational changes Enthalpy Hydrogen bonding Protonation events n = stoichiometry Number of protein binding sites reflects the purity and the functional integrity of a protein preparation if the measure and fitted stoichiometry can be compared to the known, previously determined stoichiometry

ITC Development History 1960s – built in the second half to study chemical reactions 1970s – sensitivity: mJ metal + ligand complex 1980s – sensitivity: µJ ligand binding processes and micelle formation 1990s – number of published papers increased due to new commercial calorimeters became available. Evolved from a specialist method to a widely used technique 2000s – widely employed in the design and discovery of new drugs and for the study of liquid mixtures 2009 – 374 out of 432 papers on protein interaction with other proteins, small molecules, metal ions, lipids, nucleic acids, and carbohydrates as well as on nucleic acid interactions with small molecules.

Advantages of using ITC  No labeling required  In-solution  No molecular weight limitations  Optical clarity unimportant  Minimal assay development  Using heat as signal  In one single experiment, K, ∆H, and Stoichiometry n of interaction between two or more molecules in solution can be determined  ∆G and ∆S can be calculated Mark A. Williams and Tina Daviter (eds), Protein-Ligand Interactions: Methods and Applications. Springer Science and Business Media, New York, 2013

Basic Configuration of an ITC Reference cell and sample cell in an adiabatic jacket. Reference cell filled with buffer or water. Sample cell filled with protein. Both cells are heated in such a way that the temperature is almost constant, i.e.  T < 10 x (E -6 ) ° C at all times. Syringe device holds the ligand. This device titrates the ligand into the sample cell and also acts as a stirrer. “Isothermal titration calorimetry (ITC) is a biophysical technique that allows a thermodynamic characterization of an interactive system”. VP-ITC micro calorimeter

Basic Configuration of an ITC Reference and sample cells containing identical buffer are located within an adiabatic jacket, and the latter contains macromolecule of interest. A small, constant power is applied to the reference cell, which activated the cell feedback circuit to drive ∆T to 0. No reaction – the feedback power remains constant at the resting baseline value. Exothermal reactions temporarily ↓ and endothermic reactions temporarily ↑ feedback power. The reaction heats are readily obtained by computer integration of these deflections from the resting baseline.

Sample Preparation General consideration Experiment performed at reasonable PH Protein has to be extensively dialysed and the ligand has to be dissolved in the buffer recovered from the last protein dialysis step Protein preparation As pure as possible Concentration should be correctly estimated. Ligand preparation As pure as possible Accurate concentration Buffers Buffers with low ionization enthalpy should be considered.

Raw Data and Plot of Processed Data Top: Raw ITC data showing an exothermic binding reaction. Each peak corresponds to an injection of ligand into a protein solution in the sample cell; the area under the peak is proportional to the amount of heat released in the binding reaction. When the protein becomes saturated, the DP signal diminishes until only the background heat of dilution is observed. Bottom: Binding isotherm obtained by integrating the area of each peak. The heat released per mole of ligant is plotted against the molar ratio of the two reactants.

Systematic Errors Blank experiment  Heat of dilution of ligand  Heat of dilution of macromolecule  Buffer to buffer experiment  Heat of proton ionization Degassing Generation of bubbles during an ITC experiment will generate spurious heat signals. Measurements of the concentrations Accuracy of the measurements are imperative for a good ITC experiment. Sample concentrations also need to be within a proper range to get reliable data. Small molecules impurities and PH mismatches in the buffer will cause artifacts.

References Nunez, S.; Venhorst, J.; Kruse, C. G. Target–drug interactions: First principles and their application to drug discovery. Drug Discov. Today 2012, 17, 10–22. Wiseman T. et al, Rapid measurement of binding constants and heats of binding using a new titration calorimeter. Anal Biochem 179: , Mark A. Williams and Tina Daviter (eds), Protein-Ligand Interactions: methods and applications. Springer Science and Business Media, New York, Joel Tellinghuisen, John D. Chodera, Systematic errors in isothermal titration calorimetry: concentrations and baselines, Analytical Biochemistry 414 (2011) wikepedia

Transferrin Human serum albumin