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              Protein Folding                                                                             185

                                                                                       14
              oftheunfoldedandnativestates.Pressure-inducedunfold-  aromatic side chains to water. Tryptophan’s absorbance
              ing studies require a specialized high pressure cell. 12,13  is also sensitive to the local electrostatic field; changes
                5.  Dissociation/unfoldingofoligomericproteins:Olig-  in indole-charge interactions can cause either red or blue
              omeric proteins are interesting as models for understand-  shifts upon protein unfolding. 15
              ing intermolecular protein-protein interactions. A general  Table II gives the typical concentration range used for
              question for oligomeric proteins, including the simplest  unfolding studies with proteins using this and other meth-
              dimeric (D) proteins, is whether the protein unfolds in a  ods. The sensitivity of difference absorbance measure-
              two-state manner, D ↔ 2U, or whether there is an inter-  ments will depend on the molar extinction coefficient of
              mediate state, which might be either an altered dimeric  the chromophore and their number, but a concentration

              state,  D ,  or  a  folded  (or  partially  folded)  monomer  range of 0.01 to 0.1 mM protein is usually needed for
              species,  M.  Models  for  these  two  situations  are  as  reasonable signal to noise with a 1-cm pathlength cell.
              follows:                                          Thermal scans, to induce the unfolding transition, are easy
                                                                to perform with accessories available for most absorbance
                              D ↔ D  ↔ 2U              (11a)

                                                                spectrophotometers. Chemical denaturant- or pH-induced
                              D ↔ 2M ↔ 2U              (11b)    transitions can be less convenient (unless one has auto-
                                                                mated titration equipment), since a series of solutions with
                For  a  D ↔ 2U  model,  the  relationships  between  the  equal protein concentration and varying denaturant must
              observed spectroscopic signal, S exp ; the mole fraction of  be prepared. With any of these perturbing conditions, it
              dimer, X D  , and unfolded monomer, X U  ; and the unfolding  is important to realize that the variation in the conditions
                                        2
              equilibrium constant (K un  = [U] /[D]) will be given by  itself (i.e., varying temperature, pH, chemical composi-
              Eq. (5) and                                       tion) can lead to a “baseline” change in the absorbance
                                                                signal from the native and unfolded species. 16  So long as
                                  1/2
                       2
                     K un  + 8K un [P] 0  − K un
               X U  =                     ; X D  = 1 − X U  (12)  these baseline trends are linear and not as large as the ab-
                             4[P] 0                             sorbance change associated with the conformational tran-
                                                                sition, the baseline trends can be corrected for in the data
              where [P] 0  is the total protein concentration (expressed as
                                                                analysis.
              monomeric form), where S i  is the relative signal of species
                                                                  The advantages of absorbance measurements are the
              i and where K un  will depend on the perturbant as given by
                                                                ready availability, ease of use, and low cost of the in-
              one of the above equations. That is, the transition should
                                                                strumentation. The biggest disadvantage is that it is less
              depend on the total subunit concentration, [P] 0 , and on
                                                                sensitive than some other methods.
              any other perturbation axis.
                                                                  2. Circular Dichroism
              C.  Experimental Signals
                                                                Circular dichroism (CD) is a very commonly used method
                1.  Absorbance Spectroscopy
                                                                for studying protein conformational changes. The far UV
              Absorbance spectroscopy (difference spectroscopy) mon-  spectral region (180 to 250 nm) is dominated by ab-
              itors  conformational  transitions  in  macromolecules  by  sorbance by peptide bonds, and there are signature spectra
              measuring absorbance changes, usually in the aromatic  for α-helix and other types of secondary structure in a pro-
              region  of  the  ultraviolet  (UV)  spectrum.  The  amino  tein. Additionally, the aromatic CD spectral region of 250
              acids  tryptophan  and  tyrosine  are  the  most  impor-  to 300 nm senses the chirality around the aromatic amino
              tant  chromophores  in  the  UV  region  for  proteins.  As  acid side chains and there is usually a structured aromatic
              mentioned  earlier,  tryptophan  residues  are  often  engi-  CD spectrum for the native state of a protein. 14,17,18
              neered into proteins as reporters of local and/or global  The effective sensitivity of CD is comparable to or
              environment.                                      slightly better than that of difference UV absorbance spec-
                The indole ring of tryptophan and the phenol ring of  troscopy. CD instruments can be purchased with ther-
              tyrosine show sensitivity of their absorbance spectrum to  moelectric cell holders for thermal scans and with au-
              solvent polarity. There is a blue shift in the absorbance of  tomated titrator syringe pumps for chemical denaturant
              indole and phenol upon increasing solvent polarity. As a  titrations. Since the far-UV spectral regions is important
              result, there will often be a blue shift in the absorbance  in protein unfolding studies, it is necessary to work with
              of tryptophan (typically monitored as a decrease in ab-  salts and buffers that have minimal absorbance in this
              sorbance in the 291- to 294-nm region of the spectrum)  region. When performing CD measurements, it is nec-
              or tyrosine (at 285 to 288 nm) upon unfolding of a pro-  essary to pay attention to the buffer and salts and other
              tein and a consequent increase in the exposure of these  solution components (e.g., chemical denaturants) being
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