Isothermal Titration Fit Calculator

Analyze binding heats with practical thermodynamic fitting guidance. Estimate affinity, entropy, and signal quality clearly. Plan stronger titration studies with clearer thermodynamic confidence today.

Calculator Inputs

This tool provides a practical planning and interpretation fit, not a full nonlinear regression replacement.

Example Data Table

Parameter Example Value Unit Purpose
Cell Volume1.40mLReaction cell working volume
Macromolecule Concentration50µMBinding partner inside the cell
Ligand Concentration1.00mMSyringe analyte concentration
Injections20countTotal titration steps
Injection Volume2.0µLVolume per step
Kd5.0µMApparent dissociation constant
ΔH-8.5kcal/molBinding enthalpy
Baseline Noise0.30µJApproximate instrumental noise

Formula Used

1. Wiseman c-value: c = (n × Mcell) / Kd. This gauges whether the experiment sits in a useful binding window.

2. Fraction bound estimate: f = r / ((Kd / M) + r), where r is the chosen ligand-to-macromolecule ratio.

3. Maximum heat: Qmax = |ΔH| × moles of macromolecule × min(r, n). The result is converted from calories into microjoules.

4. Free energy: ΔG = R × T × ln(Kd), using Kd in molar units and T in kelvin.

5. Entropy: ΔS = (ΔH - ΔG) / T. This separates the energetic balance into enthalpic and entropic contributions.

6. Final molar ratio: ratio = total ligand added / (initial macromolecule moles × n).

7. Confidence ranges: practical uncertainty is approximated from c-value strength, signal-to-noise, and the chosen confidence percentage.

How to Use This Calculator

  1. Enter the working cell volume and the macromolecule concentration loaded into the calorimeter cell.
  2. Provide syringe ligand concentration, total injections, and volume delivered in each injection.
  3. Enter expected stoichiometry, dissociation constant, and enthalpy from literature or prior experiments.
  4. Add temperature and approximate baseline noise to judge signal strength and expected fit reliability.
  5. Choose a target final molar ratio and confidence level, then click Calculate Fit.
  6. Review c-value, predicted heat, thermodynamic estimates, coverage, and confidence bands above the form.
  7. Use CSV or PDF download buttons to export the current result summary for reports or experiment planning.

FAQs

1. What does the Wiseman c-value mean?

The c-value compares effective binding strength against concentration in the cell. Very low values often weaken curve shape, while extremely high values can compress transition regions and complicate parameter estimation.

2. Is this a replacement for full nonlinear fitting software?

No. This calculator is a planning and interpretation aid. It estimates expected behavior from supplied parameters, but dedicated ITC analysis software remains better for fitting raw injection heats directly.

3. Why is Kd entered in micromolar?

Micromolar input is convenient for many biochemical datasets. The calculator converts it to molar units internally before applying thermodynamic equations involving logarithms and temperature-dependent free energy.

4. Why does signal-to-noise matter so much?

Heat peaks near the instrument baseline are harder to distinguish from drift and noise. Better signal-to-noise usually improves confidence in ΔH, Kd, stoichiometry, and the overall fitted transition.

5. What if my c-value is below one?

That often suggests weak concentration leverage. You may need higher macromolecule concentration, lower Kd systems, different cell loading, or revised titrant concentration to obtain a sharper binding curve.

6. Can I use this for endothermic and exothermic binding?

Yes. Positive or negative ΔH values are allowed. The sign changes the heat direction, while absolute magnitude affects predicted signal size and practical detectability against the chosen baseline noise.

7. Why is the recommended ligand concentration different from my input?

The recommendation estimates a syringe concentration that better reaches your chosen final molar ratio using the specified number of injections and injection volume. It helps with experiment design.

8. Are the confidence ranges statistically exact?

No. They are practical approximations based on experiment strength indicators. Use them as guidance for planning and screening, then confirm uncertainty from raw-data fitting and replicate experiments.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.