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The Equilibrium Binding Constant and Binding Strength02:18

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Equilibrium calculations for systems involving multiple equilibria are often complex. For example, to calculate the solubility of a sparingly soluble salt in an aqueous solution in the presence of a common ion, one must consider all the equilibria in this solution. Calculations for these systems can be complicated and tedious, so a systematic approach with a series of steps is often helpful. The process is detailed below.
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The effect of an inert salt on the solubility of a sparingly soluble salt is known as the salt effect. The degree of the salt effect varies with the ionic strength of the solution, which in turn depends on the activity of the species in the solution. The activity is expressed as the product of concentration and the activity coefficient of the species.
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Updated: May 25, 2025

Isothermal Titration Calorimetry for Measuring Macromolecule-Ligand Affinity
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A Practical Approach to Quantitatively Assessing Equilibrium-Constant Accuracy from a Single Binding Isotherm.

Tong Ye Wang1,2, Jessica Latimer1,2, Jean-Luc Rukundo1,2

  • 1Department of Chemistry, York University, Toronto, Ontario, Canada M3J 1P3.

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Summary

This study introduces a practical method to assess the accuracy of equilibrium constants, crucial for chemical systems. The accuracy confidence interval (ACI) helps researchers avoid misinterpretations by quantifying the true value range.

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Area of Science:

  • Chemical Thermodynamics
  • Biophysical Chemistry
  • Computational Chemistry

Background:

  • Equilibrium constants are vital for chemical systems but often suffer from systematic inaccuracies despite high precision.
  • Traditional nonlinear regression methods for determining equilibrium constants lack practical accuracy assessment tools for molecular scientists.

Purpose of the Study:

  • To develop a practical and accessible method for quantitatively assessing the accuracy of computed equilibrium constants.
  • To provide researchers with a reliable measure of accuracy beyond mere precision.

Main Methods:

  • Integration of error-propagation and regression-stability analyses.
  • Development of a workflow to determine the accuracy confidence interval (ACI) for equilibrium dissociation constants (Kd).
  • Implementation of a user-friendly web application for ACI calculation.

Main Results:

  • A novel workflow for calculating the ACI of equilibrium constants, specifically Kd values from binding isotherms.
  • Demonstration of the workflow's utility through three case studies.
  • Availability of a web tool (https://aci.sci.yorku.ca) for widespread adoption.

Conclusions:

  • The ACI provides a crucial measure for the accuracy of nonlinear regression parameters, complementing precision.
  • This method empowers molecular scientists to avoid misconceptions arising from relying solely on precise but inaccurate data.
  • The developed workflow and web application facilitate the routine assessment of equilibrium constant accuracy in research.