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               204                                                                                   Protein Structure


               inadequate to fully explain the behavior of hydrophobic  electrons. In biological systems the electronegative atoms
               molecules in solution since both the standard changes in  in both cases are usually nitrogen or oxygen. The dis-
               the entropy and enthalpy for the transfer of a hydropho-  tance between the donor and acceptor atoms is usually
                                                                                   ˚
               bic molecule to water are strongly temperature dependent.  in the range 2.8–3.1 A where the D H bond tends to be
               Surprisingly the value for the free energy change for the  collinear with the lone pair of electrons. There is some
               transfer of a hydrocarbon to water is rather temperature  variability in the geometry of the hydrogen bond, which
               insensitive as a consequence of compensatory changes in  is consistent with the predominantly electrostatic nature
               the entropy and enthalpy. These temperature dependencies  of this interaction. For example, in the α-helix and an-
               areaconsequenceofthelargetemperature-insensitiveheat  tiparallel β-sheet the N H is approximately colinear with
               capacity of hydrophobic molecules in solution. The water-  the C O bond rather than be aligned with the lone pairs
               ordering effect appears to be the source of the anomalously  of the carbonyl oxygen. Many of the hydrogen bonds in
               high heat capacity of hydrophobic compounds in water.  proteins occur in networks where each donor participates
                 Although there is no general agreement on the molecu-  in multiple interactions with acceptors and each acceptor
               lar basis of the hydrophobic effect, there is a good correla-  interacts with multiple donors. This is consistent with the
               tionbetweenfreeenergyoftransferofanorganicmolecule  ionic nature of hydrogen bonds in proteins.
               to water and its hydrophobic surface area, whereas there  Originally it was believed that hydrogen bonds made
               are no general correlations between the molecular fea-  an important contribution to protein stability on account
               tures of the solute and entropic and enthalpic changes.  of the extensive hydrogen bonding observed in α-helices
                                                        ˚ 2
               Many studies have shown that the transfer of 1 A of  and β-sheets. Indeed, virtually every hydrogen donor and
               hydrophobic area to water is accompanied by an unfa-  acceptor in a protein are observed to form an interac-
               vorable increase in the free energy of 80–100 J/mol. The  tion within the folded structure or to the external sol-
               fact that this correlation is found to be fairly independent  vent. However, protein stability is the difference in free
               of the nature of the hydrophobic solute clearly indicates  energy between the unfolded state and the folded state.
               that the hydrophobic effect is a fundamental property of  In the unfolded state the polar components are able to
               water.                                            form perfectly satisfactory hydrogen bonds to water that
                 Studies on the heat capacities changes observed at the  are equivalent to those found in the tertiary structure of
               protein folding transition show that protein denaturation is  the protein. Thus hydrogen bonding is energetically neu-
               analogous to the transfer of hydrophobic molecules to wa-  tral with respect to protein stability, with the caveat that
               ter. Furthermore it is well established that the stability of a  any absences of hydrogen bonding in a folded protein are
               protein is directly proportional to the difference between  thermodynamically highly unfavorable.
               the exposed hydrophobic surface area in the unfolded and  Although hydrogen bonds do not contribute to stability
               folded state. In recent years, site-directed mutagenesis has  they are a major determinant of protein conformation.
               demonstrated the same thermodynamic relationship be-  The necessity to form hydrogen bonds accounts for the
               tween the hydrophobic buried surface area and stability  α-helices and β-strands that abound in protein structures.
               as observed for the transfer of organic hydrocarbons into
                                       ˚ 2
               water. That is, each buried 1 A of hydrophobic surface
                                                                 C. Disulfide Bonds
               area contributes ∼80 J/mol to the stability of the protein
               when the only difference is the change in surface area.  Many extracellular proteins contain disulfide bonds. In
               Clearly the behavior of a protein in solution is more com-  these proteins the presence of disulfide bonds adds con-
               plex than that of a simple hydrocarbon. As noted earlier,  siderable stability to the folded state where in many cases
               proteins are only marginally stable. It would appear that  reduction of the cystine linkages is sufficient to induce un-
               the change in exposed hydrophobic surface area that ac-  folding. The source of the stability appears to be entropic
               companies protein folding slightly more than compensates  rather than enthalpic. The introduction of a disulfide bond
               for the decrease in entropy of the polypeptide chain as it  reduces the entropy of the unfolded state by reducing the
               adopts a well-defined conformation. This explains why it  degrees of freedom available to the disordered polypep-
               is so difficult to predict protein structure.      tide chain. This stabilizes the folded state by decreasing
                                                                 the entropy difference between the folded and unfolded
                                                                 state. This suggests an obvious strategy for increasing the
               B. Hydrogen Bonds
                                                                 stability of a protein through the introduction of disulfide
               Hydrogen bonds (D H····A) are primarily electrostatic  bonds. Although this might seem a simple task, the ge-
               in nature and involve an interaction between a hydrogen  ometry of the disulfide bond is rather restricted. As a con-
               attached to an electronegative atom (D H) and another  sequence the number of locations that can accommodate
               electronegativeacceptoratom(A)thatcarriesalonepairof  the replacement of two residues by cysteines in a protein
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