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Chapter  • Three-Dimensional Structure of Biomolecules
14
. Fig. 14.6 The polymer chain of aglobular protein reverses its di-
rection in the loop or turn area. Numerous turn patterns have been found. They are made up of 2–6 amino acids. Normal turns (left) form
aCOHN hydrogen bond (violet) in the direction of the polymer
Proteins organize their secondary structural segments into motifs. For example, the sequence of an α-helix, aβ-strand, and another α-helix forms amotif. Multiple motifs fold into domains to yield the tertiary structure of aprotein. Domains may be preferentially made up of helices, folded sheets, or acombination of both building blocks. Often the domain has aspecic function. Many
chain. This hydrogen bond has adifferent order in inverse turns (cen- ter). Another group of open turns (right) is held together by van der Waals contacts and polar interactions
proteins consist of asingle domain. Complex proteins can be made up of multiple domains. When acomplex assembly of several separate polymer chains is formed (e.g., as in hemoglobin), it is called aquaternary structure.
Despite the enormous multiplicity that can be achieved by combining the 20proteinogenic amino acids into se­quences, there seems to be arather limited number of fold­ing possibilities for the domains. How many total folding patterns exist can only be speculated. Of all the crystal structures known today, about 1200 different folding pat­terns have been found. This number is mainly based on
. Fig. 14.7 The course of the polypeptide chains is symbolized with
spirals for α-helices, with arrows for β-pleated sheets, and with threads
for different turn segments. Approximately 30% of the structural-
ly known proteins can be assigned to one of the nine shown folding classes. The rst folding pattern (upper left) is a“TIM barrel,” and the second one is an “open pleated-sheet” structure
a
. • From Secondary Structure Via Motifs and Domains to Tertiary and Quaternary Structure

b
c
. Fig. 14.8 The folding pattern of different β-barrel structures can
be thought of as apolymer chain with eight separate β-strands (ar- rows). These are separated by loop areas. Upper row An up-and-down barrel forms when the folding of the polymer chain of eight β-strands follows a zigzag pattern. The antiparallel sections form hydrogen bonds between themselves that close up to form a cylinder. Middle row The four-β-strand polypeptide chains lie next to one another so that the rst chain interacts with the fourth, and the second interacts
data from globular enzymes and transport proteins. Since hardly any new examples have been found in recent years despite intensive efforts, it can be assumed that there are perhaps 1500–2000 stable folding patterns used by Nature. Considering these numbers, it must be taken into account that there are many intrinsically disordered proteins that
with the third. Then the double strand folds and the rst pair comes to lie next to the second. Because the course of the polymer chain is reminiscent of the engravings on Greek vases, the pattern is called aGreek key. Two such patterns can come together into acylinder-like orientation and form aGreek-key barrel. Bottom row Another folding pattern is formed from adouble strand that is placed together with an internal twist. The double strand wraps itself into acylinder-like structure that is called ajelly roll
can adopt an ordered fold only when they are fullling their function. Very little is known about their structural organization. It remains to be seen whether new folding patterns can be found here. Using their computer pro­grams, David Baker's group (University of Seattle, USA) was able to design proteins with novel folds and to predict
ab
Chapter  • Three-Dimensional Structure of Biomolecules
the sequence that folds into that spatial structure. As a proof-of-concept, the group then synthesized these pro­teins and, as predicted, their designed architecture was different from all previously known proteins in Nature. This opens up the possibility of creating an enormous va­riety of new “articial” proteins that can be used as drugs, vaccines, enzymes or sensors. For his achievements, David Baker was awarded the Nobel Prize in Chemistry in 2024.
About 30% of all folded proteins belong to one of the classes shown in . Fig.14.7. From the group of mem­brane-bound proteins, perhaps 1000 structures are known so far, although about 30% of all human proteins fall into this group. Based on such limited data, it seems difcult to make reliable predictions about possible additional folding classes.
Drug design focuses on the interaction of aligand with aprotein. As aresult, the structural considerations of chemists are usually limited to the amino acid groups that protrude into the binding pocket. However, the folding pattern around the binding pocket inuences the proper­ties found there. For example, ahelix oriented towards the binding pocket determines the local electrostatic potential. This can be exploited to design selective ligands that bind only to proteins of aparticular folding class.
Despite the progress in structure determination tech­niques, it can happen that the structure analysis of an important protein fails, but the structure of arelated pro­tein, for example, can be solved. On this basis, amodel of the desired protein can be built (Sect.20.5). This requires information about the structure and folding principles of proteins. They allow us to understand which part of the protein stabilizes the scaffold, which parts determine the function, and which parts account for the differences between homologues.
Adetailed discussion of these principles would go too far here. As an example, consider the folding pattern of the
β
-barrel. An extended sheet of multiple β-strands has an internal twist (see . Fig.14.5). For example, if eight such strands are lined up side by side, acylinder can be formed. This barrel-like folding pattern of eight or more strands is often observed. Several variations of this folding pattern are shown in . Fig.14.8, which illustrate how and accord- ing to which principles apolypeptide can fold spatially.
A loop acts as a connecting element between the
pleated sheet strands of the β-barrel in the example in
. Fig.14.8. α-Helices can also serve as connecting elements
(. Fig.14.7). In the center abarrel-like structure forms
14
. Fig. 14.9 The amino acid groups that determine the folding pat-
tern and those that carry the function are located in different regions of the protein. Left The catalytic site (yellow spheres), which binds and transforms substrates lies in aTIM-barrel-type structure (
red cylinder, β-strands: light-blue arrows) at the end of the barrel where one would expect to nd alid. The loops of the polymer chain that surround this “lid” (gray and green threads) carry the function-deter- mining amino acids. Right The function-determining amino acids in
α-helices:
the loop region occur in the open-pleated-sheet structure there, where the attached helices change from the top to the bottom of the pleated
7 https://sn.pub/5hAz72)
sheet. (
ab
. • Are the Fold Structure and Biological Function of Proteins Correlated?

. Fig. 14.10 Immunoglobulins form ahighly specic binding pocket
in which they recognize antigens. These are exogenous substances. The enormous structural diversity of these binding pockets is achieved by variations in the amino acids in the loop regions. Left The immuno­globulins have aY-like shape, which is divided into atrunk (constant Fc domain) and two identical Fab branches. Right The course of the
polymer chain in these branches corresponds to the barrel type. The antigen binding site is found on the right-hand side. The displayed polypeptide chain covers the region circled in the schematic drawing
from β-strands, and on its outer surface the bridging α-he­lices are aligned. This folding pattern was rst discovered in triosephosphate isomerase. It is therefore called aTIM barrel (. Fig.14.7). Another important folding class that
is made up of α-helical and β-pleated sheet segments com-
prise the open-sheet structures (. Fig.14.7). In this class, the pleated sheet does not close to acylinder but rather it remains open. Helices group above and below the sheet.
How does the structure of aprotein relate to its function? For example, do all proteases have the same folding pat­tern? Alarge number of enzymes with distinctly different functions all belong to the TIM barrel type or open-sheet structure. There are many oxidases, isomerases, kinases, aldolases, synthases, dehydrogenases, or proteases that can be assigned to these two classes. Here, Nature started from acommon origin and developed divergently. Consequently, the function of aprotein is not necessarily coupled to apar- ticular folding pattern. When the structure of the enzyme is further analyzed, it is found that the catalytic sites of the proteins of afolding class are located at the same position. This is found at the C-terminal end of the barrel in the TIM barrel structure and at the topological switch of the connecting helices from the top to the bottom of the open
on the left. At the right end (colored) are the loops responsible for recognition of exogenous substances. They grasp the antigen (dark red molecule) like the ngers of two hands. (7 https://sn.pub/Soz3AF)
sheet structure (. Fig.14.9). The function-determining amino acids are located in the loop region between adja­cent folded sheets and helices. Why would Nature follow this principle of separating folding structure from func­tion? The amino acids that enable the stable folding of adomain are separated from those that induce aspecic function. This is avery efcient evolutionary strategy. Two regions have been optimized simultaneously:
The stability of the protein scaffold in special folding
-
patterns and
The layout of the amino acid sequence to serve aspe-
-
cial function.
By spatially separating and displacing the functional groups in the structurally less committed loop regions, the two tasks could be optimized in parallel. Changing asingle amino acid in asecondary structural element could destabilize the entire folding pattern and stop fold­ing. This will be avoided if the amino acid sequence to be functionally optimized is placed on astable scaffold that does not interfere with the optimization.
Aclass of proteins that implements this principle to perfection are immunoglobulins. As antibodies, they rec­ognize and bind to foreign substances called antigens. To remove an antigen, immunoglobulins with highly specic binding pockets and high afnity must be available within afew days. The substances recognized can be anything from small organic molecules to large proteins. To achieve this goal, it is estimated that approximately 1012 different
14
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Chapter  • Three-Dimensional Structure of Biomolecules
. Fig. 14.11 The side chains of apeptide substrate and the binding
pockets that they belong to are classied on the N-terminal side of the peptide as P3, P2, P1… or S3, S2, S1… (left); on the C-terminal side they
are classied as
,
,
… or
,
,
… (right)
antigen sequences are produced. Considering that each antibody-producing cell makes just one specic immu­noglobulin and that the human genome contains only about 105 genes, how can this difcult task of achieving such diversity be accomplished? It is solved by cells of the immune system using acombination of different variable gene segments and excessive amino acid exchange in these segments during lymphocyte maturation. In this way, variable loop regions are formed on astable scaffold of barrel-shaped pleated sheet structures (. Fig.14.10). The therapeutic value of such biomolecules (called biologi­cals) has been recognized. Many monoclonal antibodies are nowadays available as therapeutics (Sect.32.3).
Proteases cleave polypeptide chains during enzymatic deg­radation or release an active protein or peptide from an inactive precursor form. For this purpose, the enzymes pos­sess acatalytic site at which cleavage takes place (Sect.14.6 and Chaps.23,24,and25). In order to specically recognize aparticular substrate, several binding pockets are located on their surface. These are structurally complementary to the side chains of the substrate, which are oriented around the catalytic sites. In 1967, Israel Schechter and Arieh Berger proposed anomenclature to describe these pock­ets (. Fig.14.11). The positions of the amino acids of the peptide substrate are described as P3, P2, P1–
,
,
, and so on. Starting from the N-terminus, position P1 is immedi­ately before and position
is immediately after the cleavage site. The binding pocket of the enzyme for the side chain of amino acid P1 is called S1, and the same is valid for the
other side chains. This very useful nomenclature is purely
formal. Applying these labels to aparticular enzyme does not mean that all of the pocket actually exists. Two binding pockets can appear as one large binding pocket in the 3D structure. The S3 and S4 binding pockets in the serine prote­ase thrombin are actually just one large pocket (Sect.23.3). It is also possible that asubstrate amino acid does not have acomplementary binding pocket in the enzyme. It then pro­trudes into the surrounding water environment.
Peptides are easily synthesized with enormous diversity (Sect. 11.5). If the peptide is attached to a probe that changes its color or uorescence upon release (Sect.7.2), the labeled peptide can be used to determine the substrate prole of the protease. To do this, alarge library (Sect.11.1) of these peptides is exposed to the protease, and the mem­bers that are well cleaved are identied. . Fig.14.12 shows the amino acid composition of alabeled tetrapeptide that is preferentially cleaved by the proteases trypsin, factorXa, plasmin, and chymotrypsin. Peptides with basic groups such as arginine or lysine are preferentially cleaved by tryp­sin, plasmin, and factorXa. Factor Xa almost exclusively converts peptides with arginine at the P1 position. Chymo­trypsin behaves quite differently. It prefers aromatic amino acids such as tyrosine, phenylalanine, and tryptophan at the P1 position. The selectivity at positions P2 to P4 is not nearly as pronounced. Trypsin will convert tetrapeptides with branched groups at P2 such as Phe, Tyr, Trp, Ile, or Val much more poorly if an arginine is at the P1 position. Basic groups are also less favored. Trypsin shows virtually no se­lectivity at P3 and P4. Factor Xa has aspecial preference for the small glycine at position P2, but there is hardly any dif­ference for the groups at position P3 for this enzyme. On the other hand, different groups are more strongly selected at the P4 position. The substrate binding prole helps to reveal the selectivity characteristics of enzymes. They show the complementary properties in the binding pocket and help to inspire initial ideas for the design of possible inhibitors.
This concept was applied to cysteine proteases in the research group of Jonathan Ellman at the University of California at Berkley, USA. Substrate molecules were syn­thesized that carried auorescent marker at the end of an amide bond to be cleaved. Various organic building blocks were attached to the other side. When such asubstrate mol­ecule is cleaved by the protease, the organic moiety must be bound in the binding pocket of the enzyme. Therefore, the transformation indicates the binding of atest molecule. The method is ideal for screening purposes. Ahit discovered in this way can easily be chemically converted from asubstrate molecule to an inhibitor. For example, by replacing the cleaved amide bond with an aldehyde function, acysteine protease inhibitor (Sect.23.9, . Fig.23.27) that has very little in common with the peptide substrate can be designed.
. • From Substrate to Inhibitor: Screening of Substrate Libraries
a

b
. Fig. 14.12 Upper rows A tetrapeptide library, held constant in
position P2 to P4, was varied at position1 (red) with 19 amino ac­ids (one-letter notation; nnorleucine). It is cleaved by trypsin after arginine and lysine, by factorXa after arginine, and by plasmin af­ter lysine. Chymotrypsin prefers aromatic amino acids at position P1.
Bottom rows If arginine is held in position P1 and the remaining three positions (blue, green, orange) are varied, trypsin shows practically no selectivity for the amino acids at P2, P3, and P4. On the other hand, factorXa prefers aglycine in position P
2
ab
Chapter  • Three-Dimensional Structure of Biomolecules
What information about the dynamics and reactivity of molecules can be extracted from acrystal structure? Molecular vibrations are visible even in the solid state. This is reected in the blurriness of the electron density. When amolecule participates in areaction, bonds are broken and new bonds are formed. The formation and cleavage of amide bonds is acentral task in biochemical processes. Molecule 14.2 contains an amide and an ester group (. Fig.14.13). When acrystal of this compound is exposed to thermal energy, asolid state reaction occurs to form 14.3. The molecule is in ageometry in the initial crystal structure that is conducive for entering into the reaction pathway.
. Fig. 14.13 If thermal
energy is applied to acrystal of 14.2, the carbonyl group of the ester function reacts with the amide NH2 group and an imide bond is formed between N1 and C8 to give 14.3. There must be an implicit vibra­tional motion that culminates in the reaction. At the same time, the ester bond between C(8) and O(2) is cleaved during these reaction steps
Information about changes in the geometric orienta­tion of functional groups in the chemical reaction is crit­ical to understanding the concomitant structural changes that occur. This knowledge is aprerequisite for the de­sign of transition state analogue inhibitors (Sects. 6.6 and22.3). With respect to the formation or cleavage of an amide bond, the question is: from which direction does the amino group attack the carbonyl carbon in the course of nucleophilic addition to form anew bond?
In the early 1970s, Hans-Beat Bürgi and Jack Dunitz at ETH Zurich in Switzerland began to extract informa­tion about the geometric changes along such reaction steps from crystal structures. Before the days of movies and television, people came up with creative ways to make pictures move, such as ip-books (. Fig.14.14). They give the impression that adynamic story is being told. Imagine that the pages of the book have fallen apart
14
. Fig. 14.14 A story is shown in
static pictures in ip-books. If the dif­ferent pages of this story ip pass the eyes quickly enough, the impression of adynamic process will be given
. • Solutions to the Same Problem: Serine Proteases with Diering Folds Have Identical Function
sign (Chap.20). In addition, this information is needed to compare the binding properties of molecules (Chap.17) or to explore binding pockets for their preferred ligand binding sites (hot spot analysis). The Isostar database, assembled and maintained at the Cambridge Crystal­lographic Data Centre in England, contains many such contact geometries and spatial distributions.

. Fig. 14.15 The formation or cleavage of an amide bond occurs by
nucleophilic addition. Anucleophile, for instance, an oxygen or nitro­gen atom, approaches the planar carbonyl carbon atom. During the reaction it rises out of the plane of the three neighbors and adopts atetrahedral conguration. Examples were sought from low molec­ular weight crystal structures in which anitrogen atom approaches acarbonyl group between asingle bond and avan der Waals contact in the crystal packing. By superimposing these data, it is recognizable that the approach of the nucleophilic nitrogen towards the carbonyl group is “perfomed from back and behind.” Simultaneous with this spatial approach, the carbon atom migrates out of the plane towards the nucleophile. The geometric requirements of this reaction step also determine the structural composition of the catalytic center of avari­ety of hydrolases (Sect.22.3)
from frequent use and they are now in disorder. You need to put them back in order. In this case, ordering criteria are needed. Asimilar task is posed by organizing structural data to describe areaction. From databases of known crystal structures (Sect.13.9), particular crystal structures are sought in which an amino group is near acarbonyl group, as in the structure of 14.2. Finally, they are put into alogical order (. Fig.14.15).
The systematic comparison of crystal structure data provides a preliminary information about structural molecular properties, for instance, about the preferred conformation (Sect.16.4). The geometry of noncovalent interactions can also be evaluated in this way. The side chain of the amino acid histidine contains an imidazole ring with its two nitrogen atoms. In the neutral state, one of these nitrogen atoms is ahydrogen-bond acceptor and the other is ahydrogen-bond donor. There are hundreds of molecules with an imidazole ring in the database of low molecular weight crystal structures. In these struc­tures, the imidazole ring actually has acceptor and donor interactions, usually with neighboring molecules. All of these structures are superimposed on one another based on their common imidazole ring (. Fig.14.16). It shows in which spatial direction the hydrogen-bonding partner of the imidazole nitrogen atoms are located. The task of estimating the possible interaction positions in the binding site of the protein for the functional groups of aligand is undertaken in the course of denovo drug de-
It was shown in Sect.14.4 that the amino acids that de­termine the folding and function of aprotein occur in separate parts of the structure. However, for enzymes with the same function, Nature has found the same solu­tion by using different spatial foldings.
The function and therapeutic signicance of serine proteases will be discussed in more detail in Chap.23. Aset of three amino acids, the so-called catalytic triad, plays akey role in accelerating the hydrolysis of amide bonds by these enzymes. The two amino acids serine and histidine and one acidic amino acid residue, such as aspartic or glutamic acid, are found in acharacteristic spatial orientation. They are dened by the narrow limits imposed by the reaction geometry required for nucleo­philic addition (Sects.14.7 and23.2). Their composition is ideal for the cleavage of amide bonds.
. Fig. 14.16 The crystal packing of low molecular weight com-
pounds affords an overview of possible interaction geometries of hy­drogen-bond donors (left) and acceptors (right) around the nitrogen atoms of an imidazole ring. Accordingly, all structures with an imid­azole ring were sought in which at least one of the two nitrogen atoms participates in ahydrogen bond. The superposition of the structures shows where the positions of the interacting partners can be expected. (7 https://sn.pub/G6cGKS)
Chapter  • Three-Dimensional Structure of Biomolecules
14
. Fig. 14.17 Trypsin(a, red) and subtilisin(b, green) are serine prote-
ases. They have the same catalytic triad of serine, histidine, and aspar­tic acid. These function-determining amino acids are, however, placed upon entirely different folding patterns In(c), the course of the chain of both proteins is superimposed upon one another. Despite this, the side chains of the amino acids of the catalytic triad are in the same spatial position(d). The course of the polymer chains are shown with
The enzyme trypsin is composed of two barrel-like subunits (. Fig.14.17a). The catalytic site is located at the interface between these two subunits. Subtilisin is another serine protease that belongs to the class of open-pleated sheet structures. The catalytic triad oc­curs in aloop region at the edge of the folded sheet (. Fig.14.17b). If the amino acids involved in catalysis are removed from the protein and superimposed in space, the identical geometry of the triad becomes apparent. In addition to the enzymes mentioned, this catalytic triad is also found in lipases and esterases (Sect.23.7), which
colored ribbons that represent the spatial orientation of side chains of the three catalytic amino acids. (7 https://sn.pub/9m77Ot)
also cleave peptide or ester bonds. Although they show divergent scaffold folding, the geometric orientation of their triads is once again identical.
Our genetic information is encoded in the DNA mole­cule. It is athread-like molecule about 20 Å in diameter and up to 2 m long when stretched. It has the shape of adouble helix (. Fig.14.18). On the outside, apolymer
. • DNA as aTarget Structure of Drugs

chain of sugar and phosphate building blocks wraps around the base pairs like abanister. The latter bases form acomplementary pair at each step. The base pairs are linked together by aspecic hydrogen-bonding pat­tern. Apurine base (adenineA and guanineG) always interacts with apyrimidine base (cytosineC and thy­mineT; in the related RNA molecule, thymine is replaced by uracilU; . Figs.14.18 and14.19). The resulting spiral staircase has apitch of 34 Å and reaches afull turn after ten steps. The two intertwined polymer strands form two grooves of different sizes on their surfaces (. Fig.14.18). When the DNA is examined from the side along the steps at the major and minor grooves, the characteristics of the base pairs become visible. In the minor groove, there are three functionalities that determine the interactions with other molecules. In the major groove there are four
such functionalities. Interestingly, the pattern that is read in the major groove is unambiguous because of the ex­posed properties for each base pair on astep. In the mi­nor groove, only the overall difference between AT/TA or GC/CG can be distinguished (. Fig.14.19), but not their spatial sequential topology.
The base pairs on three neighboring steps code for one amino acid each (see Sect.32.7). In order to read this information unambiguously from the DNA, proteins that regulate gene expression (so-called transcription factors) read the information from the major groove, from the side (see Sect.28.2). Only there is it possible to read the prescribed code (AT, TA, GC, CG) unambigu­ously. The DNA molecule is highly charged due to the many outward-facing phosphate groups. This charge is neutralized by the formation of ion pairs, mostly with
. Fig. 14.18 The DNA molecule is made up of individual stair steps.
One pair of bases forms each step. The sugar phosphate chain sus­pends the steps like adouble banister. It forms amajor and aminor groove on the surface. Left A segment of DNA with 14 base pairs. Center A schematic representation with the sugar–phosphate back­bone as agray arrow, guanine (light green), cytosine (violet), thymine (cyan), and adenine (red). Right Amodel of aDNA surface in which the size difference between the minor and major grooves is empha-
sized. The individual bases align according to their interaction prop­erties (blue H-bond donor, red H-bond acceptor, gray hydrophobic contact). (7 https://sn.pub/LGZoaa)