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              Protein Structure                                                                           205

              without reducing the thermal stability of the folded protein  portional to the sixth power of the separation. Although
              are quite limited. Studies on T4 lyszoyme have shown that  these forces are very weak there are an enormous num-
              if suitable locations can be found, the degree of stability  ber present within a folded protein such that they to con-
              introduced into a protein is proportional to the size of the  tribute  significantly  stability  of  the  folded  state.  As  a
              closed loop generated by forming a disulfide bond.  group, the Van der Waals forces are important for sta-
                                                                bilizing interactions between proteins and their comple-
                                                                mentary ligands whether the ligands are proteins or small
              D.  Ionic Interactions
                                                                molecules.
              The association of two oppositely charged ionic groups
              in a protein is known as a salt bridge or ion pair and is a  VII.  TERTIARY STRUCTURE
              common feature of most proteins. Typically these inter-
              actions contribute very little to protein stability since the
                                                                A.  Protein Folding Rules
              isolated ionic groups are so effectively solvated by water.
              As a consequence very few unsolvated salt bridges are  Examination of a large number of protein structures has
              found in the interior of proteins. Furthermore, salt bridges  yielded a few common rules about the folds that proteins
              are rarely conserved in orthologous proteins.     can adopt as listed in the following. The theoretical basis
                                                                for these features is not well understood, but most appear
                                                                to result from the chirality of the amino acids, entropic
              E.  Dipole–Dipole Interactions
                                                                considerations, and the necessity to establish a hydropho-
              Dipole–dipole  interactions  are  weak  interactions  that  bic core.
              arise  from  the  close  association  of  permanent  or  in-
              duced  dipoles.  Collectively  these  forces  are  known  as  1. Secondary structural elements that are close in the
              Van der Waals interactions. Proteins contain a large num-  sequence of a protein are often adjacent in the folded
              ber  of  these  interactions,  which  vary  considerably  in  protein. It is less common to find secondary structural
              strength.                                           elements that are far apart in the sequence and close
                The strongest interactions are observed between perma-  together in the structure. The exception to this arises
              nent dipoles and are an important feature of the peptide  where an auxiliary domain has clearly been inserted
              bond. In the peptide bond the dipoles associated with the  into a loop in a protein. This is probably the most
              peptide carbonyl and amide group are aligned and give  entropically favorable way to arrange secondary
              rise to a significant dipole moment (3.5 Debye units for  structural elements within a folded protein.
              a peptide bond versus 1.85 for a water molecule). These  2. Adjacent parallel β-strands are almost exclusively
              interactions fall off with the inverse of the second to third  connected by right-handed crossovers (Fig. 9). It is
              power when the dipoles are fixed and to the sixth power  believed that this feature arises from the chirality of
              when they are free to rotate. So, for example, there is a  the amino acids that leads to a net right-handed twist
              substantial positive dipole at the amino-terminal end of  in the polypeptide chain.
              an α-helix where the dipoles are constrained and aligned.  3. There are no topological knots in proteins.
              As a consequence the N-terminal end of an α-helix is of-  4. Proteins always contain more than one layer of
              ten utilized to bind negatively charged ligands in enzyme  secondary structural elements. This rule arises
              active sites.                                       because proteins always contain a hydrophobic core
                Permanent dipoles may also induce a dipole moment in  formed by the association of hydrophobic side chains.
              a neighboring atom or group. This is a stabilizing interac-  5. α-Helices and β-sheets typically associate in discrete
              tion, but is much weaker than that observed between per-  layers of the same type of secondary structural
              manent dipoles. These type of interactions are important  elements. This feature is the consequence of the
              since they change the charge distribution of neighboring  necessity to fulfill the hydrogen bonding
              atoms which in turn can profoundly influence activation  requirements of the polypeptide chain and packing
              barriers in enzyme catalyzed reactions.             considerations. Typically the interior of a protein does
                London  or  dispersion  forces  are  the  weakest  of  all  not contain any holes larger than a water molecule.
              of the dipole–dipole. These are best described in quan-  Because α-helices and β-strands differ greatly in their
              tum mechanical terms, but may be viewed qualitatively  cross-sectional diameters, inclusion of these in the
              as  the  consequence  of  the  transient  asymmetry  in  the  same layer would result in a poorly packed protein
              charge distribution in a neutral atom that induces a fa-  interior. In addition a mixture of α-helices and
              vorable dipole in a neighboring neutral atom thus lead-  β-strands in the same layer would not fulfill the
              ing to a weak attraction. These forces are inversely pro-  hydrogen bonding potential of the β-strand.
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