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Calcium-Binding Protein Protocols Calcium-Binding Protein Protocols

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126 Lopez and Makhatadze<br />

pendence of Q on [L] t/[P] t (5). This approach is used by the VP-ITC ORIGIN<br />

software and presents certain advantages when complicated binding models need<br />

to be used.<br />

2. Identical and noninteracting binding sites. In this case more than one molecule of<br />

ligand binds to one molecule of protein (n >1). The Eq. 3 now becomes:<br />

Q = i∑Qi = n · ∆H · V · Ka · [L] b<br />

(5)<br />

and can be calculated as described by Eq. 3.<br />

3. Nonidentical and noninteracting binding sites. This is the most general case in<br />

which there are “i” different sets of binding sites and each set has its own number<br />

of binding sites ni, enthalpy ∆Hi, and equilibrium constant Ki a. The heat involved<br />

in the binding process can be written as:<br />

i i Q = ∑Qi = V · ∑ni · ∆Hi · V · Ka · [L]b (6)<br />

i<br />

i<br />

and nonlinear regression allows estimated of the binding parameters to the each<br />

type of the binding site.<br />

4. Notes<br />

1. To avoid long equilibration times, keep the washing buffer and protein solution at<br />

a lower temperature than the temperature at which you want to perform the titration.<br />

2. Keep always the buffer from the last change of the dialysis under the same conditions<br />

as your protein and ligand. Even if the protein and ligand are stable at 4°C,<br />

try to use them as soon as possible to ensure that the properties of the samples<br />

and buffer remain the same. If samples are not used within several days, consider<br />

re-dialysis with one change of buffer.<br />

3. Special care has to be taken with the needle from the stirring syringe. Any small<br />

bending of the needle will disturb the baseline of the instrument and will make<br />

the syringe unusable.<br />

References<br />

1. Makhatadze, G. I. (1998) Heat capacities of amino acids, peptides and proteins.<br />

Biophys. Chem. 71, 133–156.<br />

2. Gill, S. C. and von Hippel, P. H. (1989) Calculation of protein extinction coefficients<br />

from amino acid sequence data. Anal. Biochem. 182, 319–326.<br />

3. Pace, C. N., Vajdos, F., Fee, L., Grimsley, G., and Gray, T. (1995) How to measure<br />

and predict the molar absorption coefficient of a protein. <strong>Protein</strong> Sci. 4, 2411–2423.<br />

4. Winder, A. F. and Gent, W. L. (1971) Correction of light-scattering errors in spectrophotometric<br />

protein determinations. Biopolymers 10, 1243–51.<br />

5. Wiseman, T., Williston, S., Brandts, J. F., and Lin, L. N. (1989) Rapid measurement<br />

of binding constants and heats of binding using a new titration calorimeter. Anal.<br />

Biochem. 179, 131–137.

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