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              Protein Folding                                                                             187

              of a protein. This spectral responsiveness is in terms of
              its  emission  maximum  and  its  quantum  yield.  For  ex-
              ample, the emission maximum of tryptophan almost al-
              ways shifts to longer wavelengths (red shifts) upon un-
              folding  a  protein  and  increasing  the  solvent  exposure
              of  this  amino  acid  side  chain.  There  is  a  large  litera-
              ture about the fluorescence of tryptophan residues in pro-
              teins  and  its  use  to  study  changes  in  the  structure  of
              proteins. 19
                A variety of extrinsic fluorophores can be attached to
              proteins to serve as fluorescence probes. These can be se-
              lected to maximize sensitivity and to avoid contamination
              (i.e., by moving to longer absorption and emission wave-
              lengths) from other absorbing components. 22   With both
                                                                FIGURE 3  Simulation of denaturant-induced unfolding of a pro-
              intrinsic  and  extrinsic  fluorescence  probes,  the  method
                                                                tein in a two-state manner. A simulated fluorescence signal ( ) is
              focuses only on these probes sites, which might be as few  plotted vs. denaturant concentration for a protein, using Eq. (8).
              as a single site on a protein.                    The simulated fluorescence signal decreases with addition of de-
                Like the signals from absorption spectroscopy and CD,  naturant because the unfolded species has a smaller fluorescence
              fluorescence  intensity  signals  (either  at  a  single  wave-  signal (fluorescence is quenched on unfolding). The pre- and post-
                                                                transition baselines may slope, as shown. The fraction of unfolded
              length or integrated over the emission envelope) follows
                                                                species (X U  ) increases from left to right as the fraction of native
              Eq. (5) and can be used to extract thermodynamic infor-  species (X N ) decreases.
              mation. However, there are other easily measured fluores-
              cence signals (emission maximum and anisotropy) that do  be linear over extensive ranges of the perturbing variable
                                                   19
              not follow the mole fraction averaging of Eq. (5). The ap-  (e.g., temperature or chemical denaturant), it is usually
              parent emission maximum of a protein will be dominated  adequate to assume linear slopes over a limited range of
              by the structural state, native or unfolded, which has the  the variable.
              higher quantum yield. Consequently, the apparent emis-  The advantages of fluorescence for studying protein un-
              sion maximum will frequently not give a true reflection  folding reactions are the wide concentration range that
              of the population of native and unfolded states, thus lim-  can be measured and the responsiveness of the signal to
              iting the value of this type of fluorescence measurement  the microenvironment of the fluorophore. Additionally,
              for use in recovering thermodynamic parameters. (Rather  fluorescence signals of the native and unfolded state can
              than use the apparent emission maximum, it is better to  provide a modicum of structural information about these
              perform curve fitting with composite spectra of the native  states (at least with respect to the microenvironment of
              and unfolded states.)                             the fluorophores). Figure 3 shows simulated data for the
                Fluorescence anisotropy values for the fluorescence of a  denaturant-induced unfolding of a protein, as would be
              fluorophore on a protein will depend on the fluorophore’s  monitored by fluorescence intensity measurements.
              rotational freedom and fluorescence lifetime. Because the
              motional  freedom  of  intrinsic  or  extrinsic  fluorophores
                                                                  4. Differential Scanning Calorimetry
              will usually increase when a protein unfolds, a change in
              a protein’s fluorescence anisotropy is expected upon un-  Another frequently used method is differential scanning
              folding. However, to properly use anisotropy to analyze  calorimetry (DSC), which measures the variation in the
              the thermodynamics (or kinetics) of an unfolding transi-  specific heat of a protein containing solution as a pro-
              tion, Eq. (1) should be replaced with one that includes  tein is thermally unfolded. 23−25  As opposed to the above
              the fluorescence quantum yield of the protein’s structural  optical techniques, where photons are being measured,
              states (see Reference 19).                        calorimetry measures the transfer of heat associated with
                As with the above-listed optical methods, fluorescence  the thermally induced conformational transition. DSC and
              instrumentsaredesignedtoallowautomatedthermalscans  related types of calorimetry are intrinsically less sensitive
              and/or titrations. The baseline problem can be more signif-  than the optical methods. Nonetheless, advances in the
              icant with fluorescence than the other methods and should  technique have made it possible to perform DSC studies
              not  be  ignored.  In  particular,  it  is  well  known  that  the  with samples as low as 0.1 mg/mL.
              fluorescence intensity of fluorophores will decrease with  Temperature is scanned in DSC measurements, so it is
              increasing temperature, regardless of whether there is a  the variable that causes the structural transition of a pro-
              conformational transition. While baseline trends may not  tein. DSC data are typically presented as thermograms that
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