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Calcium-Binding Protein Protocols Calcium-Binding Protein Protocols

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118 Lopez and Makhatadze<br />

The excess heat capacity defined C exc<br />

p (T) as:<br />

C exc<br />

p (T) = [∆H(T) 2 / R·T 2 ]· [K / (1+K) 2 ] (7)<br />

where the enthalpy function is defined as<br />

∆H(T) = ∆Hfit(Tt) + ∆Cp · (T – Tt) (8)<br />

There are seven fitted parameters: Tt, ∆Hfit, ∆Cp, AN, AU, BN, and BU. In order to analyze the data according to these equations, the reversibility of<br />

unfolding reaction should be established experimentally by reheating the sample.<br />

If more than 80% of the original signal is recovered the reaction can be considered<br />

as reversible. For the analysis of the irreversible transitions, see ref. 7.<br />

4. Notes<br />

1. The DSC cell should be cleaned regularly. This can be accomplished in mist<br />

cases by filling the cells with 10% sodium dodecyl sulfate (SDS) and heating it<br />

up to 100°C, followed by a thorough rinse with distilled water. Alternatively, the<br />

cells can be washed with 200 proof ethanol followed by a wash with distilled<br />

water. Drying the cells is not recommended.<br />

2. The protein concentration is a very important parameter because it is required for<br />

the quantitative analysis according to Eqs. 1–8. The extinction coefficient can be<br />

calculated from the number of aromatic residues and disulfide bonds in a protein<br />

using an empirical equation (ref. 8):<br />

ε 0.<br />

280 1%,<br />

nm 1cm = (5690 · NTrp + 1280 · NTyr + 120 · NSS) / Mw (9)<br />

where Mw is the molecular mass of the protein in daltons. A simple experimental<br />

procedure for estimating the extinction coefficient is described (9).<br />

3. The reversibility of unfolding strongly depends on the upper temperature limit<br />

during the first scan.<br />

References<br />

1. Makhatadze, G. I., Medvedkin, V. N., and Privalov, P. L. (1990) Partial molar volumes<br />

of polypeptides and their constituent groups in aqueous solution over a broad<br />

temperature range. Biopolymers 30, 1001–1010.<br />

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

Biophys. Chem. 71, 133–156.<br />

3. Makhatadze, G. I. and Privalov, P. L. (1995) Energetics of protein structure. Adv.<br />

Prot. Chem. 47, 307–425.<br />

4. Ibarra-Molero, B., Loladze, V. V., Makhatadze, G. I., and Sanchez-Ruiz, J. M. (1999)<br />

Thermal vs guanidine-induced unfolding of ubiquitin. An analysis in terms of the<br />

contributions from charge-charge interactions to protein stability. Biochemistry 38,<br />

8138–8149.<br />

5. Biltonen, R. L. and Freire, E. (1978) Thermodynamic characterization of conformational<br />

states of biological macromolecules using differential scanning calorimetry.<br />

CRC Crit. Rev. Biochem. 5, 85–124.

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