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               182                                                                                    Protein Folding


                                                                 the  aqueous  solvent.  Solvation  of  nonpolar  side  chains
                                                                 by  aqueous  solutions  causes  a  decrease  in  the  entropy
                                                                 of solution. To avoid this entropic penalty, proteins typ-
                                                                 ically  bury  their  nonpolar  residues  in  the  interior  of  a
                                                                 protein. 4


                                                                 III.  FOLDING PATHWAYS

                                                                 The intramolecular interactions discussed above stabilize
                                                                 the final folded structure of a protein. However, knowl-
                                                                 edge of the end states, N  and U, tells us nothing of the
                                                                 path taken between them. Proteins fold on the time scale
               FIGURE 2  Illustration of cooperative vs. noncooperative unfold-
                                                                 of microseconds to hundreds of seconds. It is impossible
               ing transitions. If the native state of a protein (N) is denatured into
               the unfolded state (U) in a single transition (pathway 1), then it is a  to sample all possible conformations during this time and
               two-state or cooperative unfolding transition. Alternatively, the na-  it is clear that there is a preferred order of events leading
               tive state may be converted into one or more intermediate states  to the final tertiary fold. Determining this order of events
               (pathway 2). For example, if a protein is comprised of multiple do-  is an area of active inquiry. The questions that experimen-
               mains, one of the domains may be unfolded first. It is also possible
               to form a completely different intermediate before unfolding com-  talists  are  attempting  to  answer  are  “Do  autonomously
               pletely. The presence of intermediate species may be observed  folding substructures nucleate the folding of other regions
               using kinetic or equilibrium techniques. However, intermediates  of the protein?” or “Do neighboring substructures fold and
               detectable by kinetic methods may or may not be observable by  then collide to make the tertiary structure?” There is ex-
               equilibrium methods.
                                                                 perimental evidence that hydrophobic amino acid residues
                                                                 collapse into a “hydrophobic core” and then the secondary
                                                                 structural units form around the core. It is likely that a
                       G o un   =  G H-bond  +  G ionic  +  G vdW  combination of these scenarios leads to a correctly folded

                              +  G S −S  +  G H  phob     (4)    protein.
                                                                   It is clear that the kinetics of protein folding is protein
               Each  term  in  Eq.  (4)  will  be  discussed  separately.  As  dependent. Some fold in a distinctly cooperative fashion,
               mentioned earlier, an important stabilizing factor for the  such that one can detect only the unfolded and native end
               tertiary fold of a protein is its intramolecular hydrogen  states (U ↔ N), being two-state in a kinetic as well as
               bonds ( G H-bond ). Secondary structures are stabilized by  equilibrium sense. This is equivalent to saying that there
               hydrogen bonds between backbone amide atoms (Fig. 1).  is a single rate-limiting step, and intermediate species are
               The side chains of neighboring secondary structural units  not populated. Alternatively, some proteins fold by pop-
               can interact through hydrogen bonding. Ionic interactions  ulating one or more distinct intermediate species (e.g.,
               ( G ionic ) between acidic and basic side chains may stabi-  U ↔ I ↔ N; see Fig. 2). Thus, formation of the interme-
               lize the tertiary structure of proteins and are pH dependent.  diate species is fast, often formed in the dead-time of the
               The actual pKa of an ionizable side chain is influenced by  instrument, and formation of the native species from the
               the microenvironment in which it resides. Nonpolar and  intermediate is relatively slow and easily monitored ex-
               polar, but uncharged, amino acids interact through van der  perimentally. It has been shown that this slow phase in
               Waals interactions ( G vdW ). In some proteins, cysteine  some cases may be due to proline isomerization. 5
               residues (side chain is a sulfhydryl) form disulfide link-
               ages that can increase the overall stability of the protein
               ( G S–S ). Other possible factors not considered explic-  IV. EMPIRICAL APPROACHES
               itly here are the effects of metals, nucleotides, prosthetic
               groups, and cofactors on protein structure and stability.
                                                                 A. General Experimental Strategies
                 By  far  the  most  important  noncovalent  factor  that
               determines protein stability is hydrophobic interactions  As discussed above, experimental studies of protein fold-
               ( G H  phob ).  In  globular  proteins,  hydrophobic  amino  ing reactions fall into the category of either equilibrium or

               acids are buried in the interior where they create a “hy-  kinetics studies, with the former yielding thermodynamic
               drophobic core.” Although these nonpolar residues par-  information about the energy differences between the na-
               ticipate in van der Waals interactions, the primary driving  tive and denatured structural states and the latter stud-
               force for the formation of the hydrophobic core is to avoid  ies providing information about the folding pathway and
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