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The compounds incorporating b-amino acid residues have found various applications in medicinal chemistry and biochemistry.The conformational pool of b-peptides com-prises several periodi

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R E V I E W A R T I C L E

Side-chain control of b-peptide secondary structures

Design principles

Tama´s A Martinek and Ferenc Fu¨lo¨p

Institute of Pharmaceutical Chemistry, University of Szeged, Hungary

As one of the most important families of non-natural

poly-mers with the propensity to form well-defined secondary

structures, the b-peptides are attracting increasing attention

The compounds incorporating b-amino acid residues have

found various applications in medicinal chemistry and

biochemistry.The conformational pool of b-peptides

com-prises several periodic folded conformations, which can be

classified as helices, and nonpolar and polar strands.The

latter two are prone to form pleated sheets.The numerous

studies that have been performed on the side-chain

dependence of the stability of the folded structures allow

certain conclusions concerning the principles of design of

the b-peptide foldamers.The folding propensity is influ-enced by local torsional, side-chain to backbone and long-range side-chain interactions.Although b-peptide foldamers are sensitive to solvent, the systematic choice of the side-chain pattern and spatiality allows the design of the desired specific secondary structure.The application of b-peptide foldamers may open up new directions in the synthesis of highly organized artificial tertiary structures with bio-chemical functions

Keywords: b-amino acids; foldamers; non-natural polymers; b-peptides; conformational control; stereochemistry

Introduction

The macromolecules and ligands responsible for the

func-tioning of living organisms are basically built up from a very

restricted number of building blocks (e.g a-amino acids and

nucleic acids).Proteins with a propensity to fold into

well-determined hierarchical 3D structures, such as enzymes and

receptors, have developed in nature in an evolutionary time

scale.However, thanks to the tremendous efforts that have

been devoted to the field, scientists now have a clearer

picture of the background to these developments [1,2].The

principles of protein design are not restricted to the realm of

the heteropolymers of a-amino acids, but can be generalized

and extended to any polymer with a tendency to fold into

the periodic and/or specific compact structures referred to as

foldamers [3,4].Such foldamers include synthetic oligomers

constructed from b-amino acids as monomers, designated

b-peptides, which are among the most thoroughly studied

and important models in foldamer chemistry

For the biopolymer community, there are a number

of reasons for the synthesis of b-amino acid-containing

compounds and analysis of their structures.As concerns the

aspects of foldamer design, b-peptides are very close

relatives of a-peptides, their structures containing amide

bonds that allow the formation of stabilizing H-bonds

Further, the b-amino acids are homologues of the a-amino

acids, the amide groups in the b-peptide backbone being

separated by two carbon atoms.This provides new options regarding the substituent pattern and the spatiality on C2 and C3with a view to control the secondary structure.The field of drug design can also benefit from the structural properties of b-amino acids.The incorporation of b-amino acids is a successful approach to the creation of peptidomi-metics with potent biological activity that are resistant to proteolysis [5–11]

It is interesting that the first b-amino acids were not produced in scientific laboratories.The conditions on primitive Earth were such as to lead to the formation of b-alanine [12] and b-amino acids originating presumably from comets or asteroids have also been found [13].Natural sources too produce b-amino acids [14–17], but reliable and efficient synthetic routes are indispensable; the relevant methods have recently been extensively reviewed [18–29] Despite the availability of reviews on b-peptide foldamers [30–32], there is increasing interest in the new results and conclusions, which justifies the present survey on the design principles

The conformational pool of b-peptides

It is clear from the general constitution of the b-amino acids (Fig.1) that the conformational space can be described in

a very similar way as for the a-residues.According to the convention of Banerjee and Balaram, the soft torsional degrees of freedom are defined as CO-N-C3-C2, C3-C2 -CO-N and N-C3-C2-CO designated /, w and h, respectively [33].It may be concluded from the presence of the additional torsion that the increased conformational space relative to the a-peptides significantly decreases the folding propensity of the b-peptides, in consequence of the higher entropy loss [34].The initial efforts in the laboratories of Seebach [35–38] and Gellman [39–41] and the increasing

Correspondence to F.Fu¨lo¨p, Institute of Pharmaceutical Chemistry,

University of Szeged, Eotvos u.6.Szeged, Hungary.

Fax: + 36 62 545705, Tel.: + 36 62 545564,

E-mail: fulop@pharma.szote.u-szeged.hu

(Received 14 April 2003, revised 24 June 2003,

accepted 16 July 2003)

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body of high-resolution structural data clearly demon-strated that b-peptides have an intrinsic propensity to fold into well-defined periodic structures.Soon after the first experimental observations, theoretical methods were deployed to explain the formation of such highly ordered structures [42–46].The main conclusion from the ab initio quantum chemical calculations carried out on blocked monomers and short oligomers is that the propensity to form periodic structures with helical symmetry is inherently encoded in the b-amino acid monomers.Obviously, these minimal models did not allow an exact quantitative estimation of the relative stabilities of the possible secondary structures as a function of the substituent pattern, but the results did facilitate an enumeration and classification of the periodic conformations in terms of the /,w,h map (Fig.2) The folded b-peptide structures can be classified on the basis

of the grouping of the a-peptide secondary structures [1] The periodic conformations include various types of helices and strand-like structures (Fig.3).The sheet nucleating turn segments are discussed later.Different designations are available in the literature for these ordered conformations

In the present review, we follow the nomenclature intro-duced by Gellman [31].In order to avoid ambiguity, it must

be stated that all the periodic structures possess helical symmetry, but strands will be distinguished from helices on the basis of the angle of the backbone H-bonds.The structures stabilized by H-bonds with an angle < 120 are classified as nonpolar strands, as these conformations may expose the amide bonds to participation in long-range interactions, with the formation of pleated sheets

The b-peptide foldamers have a number of interesting structural features.The H-bonds stabilizing the periodic conformations can attain parallel or antiparallel orienta-tions with respect to the directionality of the b-peptide chain.The orientation of the H-bonds is closely connected

to the number of atoms comprising the H-bonded ring Fig 1 General constitution, definition of the backbone torsions and

designation of the substitution pattern of b-amino acid residues.

Fig 2 /,w,h representation of the left-handed uniform periodic conformations of b-peptides The selected torsional data were taken from [22,33–37,43].

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formed between the donor and acceptor atoms.For the

structures with 6-, 10- and 14-membered rings, the donor to

acceptor orientation is parallel to the chain directionality on

going from the N-terminal to the C-terminal, while in the

8- and 12-helices and in the 8-strand the orientation is

antiparallel.Besides the novel H-bonding patterns, the sense

of the helix twist can also vary, leading to right-handed or

left-handed helices.Figures 2 and 3 depict only the periodic

conformations with left-handed helicity, but the

right-handed ones can easily be obtained via a mirror operation

that results in /, w- and h-values of opposite sign and

inverted configuration in the event of chiral substitution at

C2 and C3.Apart from the handedness, the size of the

H-bonded ring does not uniquely describe the theoretically

possible periodic structures within the conformational

families of 6-strands and 8-helices.For the left-handed

6-strands, there are three obvious combinations of

back-bone dihedral angles, which can produce periodic structures

designated 6I, 6II and 6III following the classification

of Hofmann [47].The left-handed 8-helices can also be

clustered into two subfamilies: 8I and 8II.It must be

emphasized that the conformational pool of b-peptide helical structures is not complete without the experimentally observed and theoretically studied alternating 10/12 helix (Fig.3) [36,37,48].This conformation has two sets of /,w angles: /1)90, w1 100, /2 100, w2)90, and

a uniform h)60.These torsions result in an alternating orientation of the amide groups and thereby a reduced dipole moment

Not only the helical conformations are encoded in the b-amino acid monomers.It has been shown that the torsion

h can occupy an antiperiplanar local conformation that leads to a strand structure with a tendency to form parallel and antiparallel pleated sheets [40].As the amide carbonyls

in this strand point in the same direction, the structure has a net dipole moment that is fundamentally different from the situation for the b-sheets formed by the a-peptides, where the amide bonds point in alternating directions, so that there

is no net dipole

Following this survey of the conformational pool of b-peptides, it should be noted that the torsion h cannot

be considered a very flexible conformational degree of

Fig 3 Backbone geometryof the

experiment-allyobserved b-peptide helices and strands with

left-handed helicity The structures were

modelled by using the representative dihedral

angles depicted in Fig.2.

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freedom.With a few exceptions, its angle is in most cases

restricted to synclinal (h  ± 60) or antiperiplanar

(h  180).Accordingly, steps have been taken towards

handling the conformational pool of b-peptides in terms of

the reduced /,w space which is achievable in special cases

[47,49].However, the reduced representation does not in

general allow a unique description of the various periodic

conformations.For example, the 6II-strand and 14-helix

heavily overlap in the /, w map and h is necessary to

distinguish the conformations unambiguously.When the

folded structures with different modes of handedness and

various nonfolded structures are considered [50], the

problems with the reduced representation become even

more severe

Substituent effects on local geometry

The two carbon atoms in the b-peptide backbone provide

and efficient means with which to influence the intrinsic

secondary structural propensity of b-amino acid residues

It has been demonstrated persuasively that the secondary

structure motif can be efficiently controlled by altering the

substituent pattern [51,52].In the approach of Wu and

Wang, the effects exerted by the substituents can be

separated into two groups of components [45].One

involves the impact on the local conformational stability

at the residue level, referred to as the torsional effect.The

other group comprises the medium- and long-range effects

due to steric and electrostatic interresidue interactions

The torsional effect of methyl substitution on various

model fragments has been analysed thoroughly by

employing ab initio MO quantum chemical calculations

The local effect on / of monomethyl substitution at C3

with the S-configuration [(S)-b3-substitution] was studied

in the cases of N-isopropylformamide and

N-s-butyl-formamide, while the influence of (S)-b2 substitution on

w was modelled with isobutyramide [45] and

2-methyl-butyramide (Fig.4) [43] The potential energy profile of

/ indicates that its allowed values are restricted to the

region between 60 and 180.There is also a narrow

minimum around )60, with a relatively high rotational

barrier.The potential energy surface for w was found to

be rather flat, with two minima, in the range 60–180

and at around )60.The results can be transferred to

(R)-b3 and (R)-b2 substitutions by changing the signs of

the dihedral angles.These analyses reveal that a

side-chain in the b3 position has a significant structuring

effect on the local geometry exerted through the steric

interactions along /; indeed, the first stable periodic

conformation, the 14-helix, was constructed by using

homochiral b3-amino acids.It is interesting to note that

all the H-bond-stabilized periodic structures can be found

within the range /¼ 60–180 or / ¼)180–60 that are

in fact the preference regions of the (R)-b3 or (S)-b3,

substituted b-amino acid monomers

As concerns the nature of the b3 side-chain, a further

relationship was recognized recently by Raguse et al.[53];

the incorporation of side-chain branching adjacent to the

b-carbon atom stabilizes the 14-helix [54,55].This effect

may also be explained in terms of the local torsional

effects.Force field calculations suggest (Fig.5) that, as

the steric demand of the b3 substituent in the proximity

of the adjacent amide group increases, the conforma-tional space decreases for the torsion / (T.A.Martinek and F.Fu¨lo¨p, unpublished observation).The isopropyl side-chain corresponding to the (S)-b3-hVal residue significantly increases the energy minimum at )60, possibly making this local geometry inaccessible for the backbone, and narrows the flat minimum at around 120.For the (S)-b3-hLeu model, only the narrowing can

be observed, which is in good accord with the pro-nounced structuring effect of the b3-hVal residues.The b2 substitution provides a less efficient tool with which to affect the local flexibility of the torsion w; nevertheless, it can not be completely neglected

As was seen above, the appropriate conformation along the torsion h may be crucial for a certain periodic structure

to be obtained.X-ray and NMR spectroscopic methods have demonstrated the intrinsic feature of b-amino acids that the local geometry of h is confined to staggered conformations (synclinal or antiperiplanar) [46,56,57].The local, intraresidue interactions stemming from b2 or b3

substitution cannot bring about a prevailing h in solution, but by means of b2,3 disubstitution the conformational preference along the C2-C3 bond can be modulated successfully.A thorough comparative experimental study has suggested that the (R,S)-b2,3 or (S,R)-b2,3 relative configuration (Fig.1) stabilizes the antiperiplanar confor-mation for h via intraresidue interactions [40], which is a prerequisite of the polar-strand conformation found in hairpins as a model of the polar pleated sheet.These findings were supported by ab initio calculations [58]

Fig 4 Relative torsional energyprofiles for / and w, calculated for (S)-b3-Me- and (S)-b2-Me-substituted model systems [48] The reduced conformational space for both b 3 and b 2 substitution explains their significant structuring effect.

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A noteworthy example of the conformationally constrained

systems is the family of cyclic b-amino acids, where control

of the torsion h is achieved by covalent linkage between C2

and C3[31,39,52].For these b residues, the antiperiplanar

arrangement (h¼ 180) is inaccessible, and the folded

structures with helical symmetry are therefore promoted

The cyclic b-amino acids may be considered too constrained

to exhibit a real folding reaction [34]; nevertheless, a great

majority of the b-peptide foldamer structures and the

unordered conformations are also accessible with synclinal

conformation at h, and therefore the conformational

plas-ticity is sufficient to allow the folding process.This is

supported by the fact that the cyclic b-residue

2-aminocyclo-pentane-carboxylic acid (ACPC) can adopt torsion angles

from ± 13 up to ± 90, which facilitates the fine tuning

of the helix type adopted by b-peptide oligomers

construc-ted from cyclic monomers.The homo-oligomer of

trans-2-aminocyclohexanecarboxylic acid (trans-ACHC) forms a

14-helix, while trans-ACPC adopts a 12-helix, requiring

a larger h to accommodate the increased pitch height

[51]

The covalent restriction of h by employing a cyclic

b-peptide residue combined with the stereochemical tuning

of the preference regions of / and w produces efficient

control over the secondary structure formation [52].If

cis-(1R,2S)-ACPC is used, the C2-C3bond can be retained in a

synclinal position in spite of the (R,S)-b2,3disubstitution,

which would otherwise lead to an antiperiplanar

confor-mation promoting a polar strand.The (S)-b3substitution

forces / into the region 60–180, while the (R)-b2

configur-ation prefers w¼) 60–180.This set of torsions allows only

an alternating orientation of the amide bonds, which is present only in the 10/12-helix and in the nonpolar strands

As the configuration is unfavourable in the 10/12-helix for steric reasons (see later), the resulting structure is a nonpolar strand stabilized by weak six-membered H-bonds

Controlling the backbone to side-chain interactions

The regions of preference of the local torsion angles may be perturbed by changing the substituent pattern, but oriented synthesis of a specific secondary structure can not be achieved without considering the medium-range backbone

to side-chain interactions, which can override the local effects.The impact of the side-chain pattern on the secondary structure preference of b-peptides can be addressed to a first approximation within the framework

of the ÔfittingÕ theory established by Seebach et al.[37].The principle behind this is that any substituent in an axial orientation relative to the helix axis destabilizes the helical conformation because of the steric clash between the substituent and the b-peptide backbone.Thus, the side-chains occupying axial positions in the helical conforma-tions push the system to nonpolar strand or polar strand conformational states.For the left handed 10- and 12-heli-ces, the substituents R1 and R4 are axial, while for the 14-helix, R2and R3are axial (Fig.6); thus, any bulky side-chain in these positions disrupts the formation of the given periodic conformation.Analysis of the steric interactions, together with the local torsional effects, allows a finer-grained analysis of the effects of substituents on the folded

Fig 5 Relative torsional energyprofile for /,

calculated for model systems involving

(S)-b 3 -hAla (S)-b 3 -hVal and (S)-b 3 -hLeu residues

[48] The calculations show that the strong

structuring effect of the side chains with

branching adjacent to the b-carbon atom

stems from the altered local geometry

preference.

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structures.For example, the 10-helix secondary structure

has not been detected for b-peptide oligomers with

noncyclic side-chains, but only for b-oligopeptides with

strained oxetane side-chains [59], that, in general, suggests

a lower stability for this specific conformation.It is clear

that only substituent R2 and/or R3 [(S)-b3 and/or (S)-b2

substitution, respectively] is allowed sterically for the

left-handed 10-helix, but at the same time the geometry of the

structure requires / to be in the range)60 to )110, which

is in the higher energy region of the local torsion energy

profile calculated for (S)-b3 substitution (see above).The

10-membered, H-bonded pseudocycle, however, can be

found in the 10/12 helix that is preferentially formed by

oligopeptides containing an alternating sequence (S)-b2

/(S)-b3.These side-chains can occupy the preferred lateral

(equatorial) position in the left-handed 10- and 12-helices

and in the right-handed 14-helix as well, and therefore the

local torsional effect should also be considered.The

unsubstituted C3in the first residue allows /1to adopt a

dihedral angle of)90, while the (S)-b2side-chain provides a

slight local conformational preference for w1that promotes

a dihedral angle of 100.The second residue with the (S)-b3

substituent constitutes a strongly preferential configuration

for a torsion /2of 100.Overall, these torsional effects and

side-chain to backbone interactions may contribute to the

observed stability of the 10/12-helix for (S)-b2/(S)-b3

sequences

The role of long-range side-chain interactions

In folded a-peptide helix design, control of the interactions between the side-chains separated by a turn of the helix is a facet of major importance [60,61].The organizing forces may comprise the van der Waals and electrostatic inter-actions.As the circle of synthesizable enantiomerically pure b-amino acid building blocks widens, a variety of possible side-chains are available for participation in such stabiliza-tion [18–29].Inspecstabiliza-tion of the 14- and 12-helices (Fig.6) reveals that the juxtapositions necessary for the design of these energy terms are present, while the 10/12-helix lacks such directly adjacent lateral side-chains (Fig.7).For the 14-helix, all the b2 and b3 substituents with appropriate stereochemistry are proximal, at positions i and (i + 3) The adjacent side-chains in the 12-helix are (i)b3– (i + 2)b2 and (i)b2– (i + 3)b3

When the number of possible side-chain interactions and the pitch height are considered, the conformation most sensitive to the hydrophobic van der Waals forces is the 14-helix.This suggests that the stability of the 14-helix is augmented by the solvent-driven attractive forces between the hydrophobic side-chains.On systematic increase of the number of possible juxtapositions, extra stabilization can be observed for the 14-helix at the expense of the 10/12-helix, but b2,3-peptides with all the possible juxtapositions are destabilized by steric crowding [37].Unfortunately, it is

Fig 6 Steric axial side-chain to backbone interactions and the equatorial juxtapositions for left-handed 10-, 12- and 14-helices According to Seebach’s ÔfittingÕ theory, the structures display the unfavourable steric repulsions between the backbone and the side-chains in axial positions preventing helix formation.The juxtapositions of the equatorial side-chains separated by a turn of the helix allow stabilization by non-bonded interactions.

Fig 7 Steric axial side-chain to backbone interactions and the equatorial juxtapositions for the left-handed 10/12-helix As this type of helix possesses 10-membered and 12-mem-bered hydrogen-bonded rings in an alternating manner involving different interaction pat-terns, the Figure depicts the 10/12 and 12/10 structural motifs separately.

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difficult to confirm this trend by conducting experiments in

different solvents with increasing polarity, because the

higher dielectric value and specific interactions scale down

the stabilizing electrostatic forces of mainly H-bonding

origin, which overall counteracts the hydrophobic

stabiliza-tion [55,62,63].Sensitivity to an aqueous medium is also a

characteristic of the 12-helix [64].It might be speculated that

H-bond stabilization plays a more important role in

b-peptides than in a-peptides, and this might be the price

for the enlarged conformational space relative to the

number of possible H-bonds [65].As pointed out by Wu

et al the dipole–dipole interactions due to the uniform

amide orientation along the backbone are not only a

stabilizing factor, but additionally a source of cooperativity

in the formation of the 12- and 14-helices [66]

As regards the electrostatic interactions between the

side-chains, a useful tool has been developed with which

to increase the stability of the 14-helix even in aqueous

medium.With the choice of a negatively charged and a

positively charged side-chain in the relative positions

i – (i + 3), a salt-bridge can be formed at an appropriate

proton concentration [67,68].The side-chains of choice

are deprotonated b3-hGlu and protonated b3-hLys or

protonated b3-hOrn, whereby the most effective

stabi-lization can be tailored.A very similar stabistabi-lization

strategy of a disulfide lock between the helix side-chains

may be mentioned as an instrument with which to

promote formation of the 14-helix [69].Although this

establishes a covalent constraint to prevent unfolding and

therefore provides strong stabilization, it could lack the

controlling flexibility of the non-bonded interactions

discussed above

Nucleation

Certain b-residues or structural motifs have tailored local

conformational characteristics that allow the overall folding

propensity of a given b-peptide to be influenced.This

method of control of the secondary structure formation is

well known in the field of folded a-peptide design and is

referred to as nucleation [1].An efficient way to improve the

stability of a 14-helix is to incorporate the conformationally

constrained trans-ACHC in the b-peptidic sequence.Even a

single trans-ACHC residue in the central position of the

chain can significantly increase the stability of the 14-helix

[53,70].A similar 14-helix nucleation effect can be observed

for central (R,S)-b2,3or (S,R)-b2,3residues [37].A systematic

study by LePlae et al.revealed that a 12-helix nucleation

effect can be detected on the use of ACPC and

trans-APC (trans-3-aminopyrrolidine-4-carboxylic acid) as

con-formationally constrained residues, and other b3-acyclic

side-chains [64].The 12-helix is still retained in a

b-heptapeptide with only three cyclically restrained residues

in methanol, whereas five constrained residues are necessary

in water

Interestingly, nucleation of the alternating 10/12-helix

does not require constrained residues; it can be achieved by

using a b2/b3 or b3/b2dipeptidic sequence [37,48].Besides

the local torsional preferences (see above), the reason for

this may be that intrinsically the most stable b-peptide

helical structure is the 10/12-helix, because of the

advanta-geous H-bonding geometry [66]

Although the conformational pool of b-peptides allows polar and nonpolar strand geometries, the propensity to sheet formation in solution can be studied only by the construction of simple hairpin (strand-turn-strand) models

as a result of the complexity of the long-range interactions encountered in sheets.The crucial point here is the synthesis

of the stable turn motif that finally nucleates the pleated sheet structure.One strategy for sheet nucleation is the application of conformationally restricted residues in the centre of the b-peptide chain.An antiparallel sheet-nucle-ating 10-membered ring was synthesized by employing a central L-proline-glycolic acid segment (Fig.8A) [40].The incorporation of a stabilizing 12-membered ring also resulted in an antiparallel polar pleated sheet model that was achieved by using a dinipecotic acid moiety (Fig.8B) [71,72].Another way to nucleate a b-peptide sheet is to take advantage of the 10-membered, H-bond-stabilized turn-forming propensity of the b2/b3or b3/b2dipeptidic sequence known from the 10/12-helix.Seebach et al.demonstrated the feasibility of this approach by using (S)-b2/(S)-b3 residues in the centre of an (R,S)-b2,3peptide chain, thereby creating an antiparallel polar pleated sheet model (Fig.8C) [73,74]

Effect of protecting groups

The studies on b-peptide secondary structures mostly cover chain lengths in the oligomeric region.These relatively short sequences are rather sensitive to the presence or absence of terminating protecting groups.It might be considered an empirical rule in b-peptide foldamer design that removal of the protecting groups from the C and N termini destabilizes the 10/12-helix [48], while the absence of the protection acts

as a stabilizing factor for the 14-helix [37].The best available explanation is that the protonated N-terminus is in an advantageous charge–dipole interaction with the relatively high dipole observed for the 14-helix.This reasoning is supported by experimental observations on the stabilizing effect of the helix macrodipole in water [75]

Conclusions and outlook

The peptide sequences constructed from b-amino acid residues have proved their ability to fold into well-defined secondary structures.These foldamers cover a wide variety

of periodic conformations comprising various helices, polar and nonpolar strands and sheets.The b-peptide backbone with an additional carbon atom provides a well-equipped toolbox with which to fine-tune the folding propensities of the sequences, which includes control of the local torsional interactions, side-chain to backbone interactions, side-chain

to side-chain interactions, and nucleation

As stated in the Introduction, there are a number of reasons why b-amino acid-containing compounds can be of interest to the biochemistry community.We would empha-size the construction of amphiphilic b-peptide helices with antimicrobial activity [7].These foldamers, which have the propensity to form helical bundles [76,77], have opened up a new direction towards artificial tertiary structures.The incorporation of other secondary structural elements will also hopefully result in new complex structures with useful functions [78]

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The authors’ thanks are due to the Hungarian Research Foundation

(OTKA F-038320, TS-04888) for financial support.

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