Abstract
The tryptophan zipper (Trpzip) is an iconic folding motif of β-hairpin peptides capitalizing on two pairs of cross-strand tryptophans, each stabilized by an aromatic-aromatic stacking in an edge-to-face (EtF) geometry. Yet, the origins and the contribution of this EtF packing to the unique Trpzip stability remain poorly understood. To address this question of structure–stability relationship, a library of Trpzip hairpins was developed by incorporating readily accessible non-proteinogenic tryptophans of varying electron density. We found that each EtF geometry was in fact stabilized by an intricate combination of XH/π interactions. By tuning up the π-electron density of Trpface rings, CH/π interactions are strengthened to gain additional stability. On the contrary, our DFT calculations support the notion that Trpedge modulations are challenging due to their simultaneous paradoxical engagement as H-bond donor in CH/π and acceptor in NH/π interactions respectively.
Graphical Abstract

Introduction.
Attractive non-covalent interactions (NCIs) play a pivotal role not only in the thermodynamic stabilization of supramolecular assemblies and protein–drug complexes[1–4], but also in kinetic rate accelerations in organocatalysis.[5–7] In nature, such forces are also responsible for the folding of proteins and participate in numerous protein–protein interaction mechanisms.[8–10] In the context of protein folds, the side chains of aromatic amino acids (W, F, Y, H) participate in a plethora of π NCIs such as CH– π , π–π, and cation/anion–π interactions.[11–13] Despite its scarcity in proteins (abundance ~1.5%), tryptophan (W) is a unique residue in the space of π-aromatic interactions, due to an innate hydrophobicity and a substantial π-electronic density offering a large van der Waals contact surface.[14] Strikingly, tryptophans are far superior π-donor arenes than any other aromatic amino acids, therefore contributing to greater stabilization effects across all π NCIs.[15–19] Given these features, W residues have attracted a great deal of attention for studying biological systems and miniaturized proteins such as the tryptophan cages.[20,21] Tryptophans have also been incorporated in stand-alone β-hairpin peptides excised from their protein context.[22,23] The seminal studies by Robinson and Cochran highlighted the exceptional stabilizing effect of cross strand interactions generated by W/W pairs positioned at non-hydrogen bonded (NHB) sites.[24,25] These efforts were later championed by Cochran who reported that the intercalation of two W/W pairs at successive NHB positions could yield a hyperstable mimic of the GB1 N-terminal hairpin known as the tryptophan zipper or “Trpzip” scaffold (Figure 1A).[26,27] Even if our understanding of the Trpzip paradigm has made significant advances in terms of kinetics[28,29] and thermodynamic features[30–33], the original folding performance of aryl–aryl W/W π–stacking has never been overthrown.[31,34–35] Yet, to explore the potential of β-hairpins as an alternative chemical space to large macro- and bicyclic peptides, significant folding improvements are needed. To maximize folding and achieve a physiologically relevant meso- or thermostability, proteins and foldamers alike should display melting temperatures (Tm) superior to 50 °C.[36] Our group recently reported two short and highly stabilizing β-strap motifs built around a Trpzip motif, yet the folding of hairpins bearing long loop segments (≥10-residues) remained challenging (Tm varying from 25 to 51 °C).[37] As shown in Figure 1B, probing NOESY correlations within each W/W pair and significant side-chain chemical shift deviations (CSDs) recorded in Trpzip 1a suggested that CH/π interactions could be responsible for the unique edge-to-face (EtF) arene stabilization. To optimize this strategy, we now report the development of a hairpin platform that investigates the relationship between aromatic–aromatic interaction of tryptophans within the Trpzip. Subtle stereoelectronic effects could be observed in our series of hairpins 1-2 and the electronic densities of face tryptophans (pyrrole and benzene rings: 1MW and 7OW using the nomenclature shown in Figure 1C) were successfully tuned to enhance the global hairpin stability in water over a larger range of temperature. In addition, our density-functional theory (DFT) calculations confirmed that three distinct CH/π interactions contribute to each EtF assembly and further suggested that additional NH/π interactions must be accounted for in the overall Trpzip stabilization. These results provide a more comprehensive picture of each non-covalent interaction contributing to the structure–stability relationship of Trpzip hairpins.
Figure 1.

A. Trpzip NMR structure showing the W/W pair geometry in EtF stacking. B. Incorporation of non-proteinogenic tryptophans within the β-strap of Trpzip 1a to enhance the strength of CH/π interactions in W/W pairs. C. List of unnatural building blocks evaluated in this study.
Results and Discussion.
To our knowledge, all earlier attempts to enhance the stability of the W/W packing found in the original Trpzip by swapping tryptophans with other proteinogenic or unnatural aromatic α-amino acids (e.g., Y, F and analogs) have failed.[34–35,38–43] Along these lines, a number of studies support the notion that indoles are some of the best π-donor aromatic heterocycles to achieve CH/π interactions, given their larger and more polarizable π-surface.[15,16,44–48] A double-mutant cycle calculation reported by Kelly suggested that a W/W pair in EtF contact accounts for a stabilization of ~ 0.55 kcal/mol.[49] As such, we hypothesized that the uniqueness of the tryptophan EtF packing could originate from a combination of CH/π interactions with alkyl (β-methylene, Hβ2) and aryl (indole C4(Hε3) and C5(Hζ3)) H-bond donors on edge tryptophans interacting with the electron-rich π-system of face tryptophans. Guided by several NMR solution structures of W/W stacking in EtF geometry (PDB codes: 1LE0, 1LE3, 1GIG), we envisioned that both Hβ2→benzene nucleus and Hε3→pyrrole nucleus interactions could be tuned separately to achieve a greater overall stabilization (Figure 1A). To test this hypothesis, we synthesized a library of hairpins inspired by our benchmark Trpzip 1a using a typical Fmoc-chemistry on solid support. A selection of commercially available or readily accessible unnatural tryptophans (Figure 1C) were inserted at either edge or face positions (2/15 and 4/17 respectively) in hairpin scaffolds 1 or within both pairs simultaneously in scaffolds 2 (Figure 2). Whereas the nucleation of short loops (e.g. β-turns) is expected to thermodynamically stabilize the hairpin fold[50–52], random loop sequences of varying length and conformational strain can be detrimental to the hairpin folding path. To avoid any local perturbation induced by biased loop turns[53,54], we selected a relatively long and highly flexible polyglycinyl –G4KKG4– loop sequence having no intrinsic conformational bias, limited side-chains interactions, and no innate structuring intramolecular hydrogen bonds.[55–57] As shown by the sharp thermal unfolding transition for our benchmark Trpzip 1a in Figure 2, the flexibility of the polyglycinyl loop is likely reducing the difference in entropy between folded and unfolded states, thus affording a reliable two-state approximation model for the hairpin folding free energy (ΔGFo) calculations.[58–60] At first, we obtained several direct evidences by NMR spectroscopy of the EtF packing in 1a with a set of cross-strand NOESY correlations between the W side chains (Figure 1B) and some pronounced upfield chemical shift deviations (CSDs) of −0.98 and −1.10 ppm for aliphatic Hβ3, and of −0.77 / −0.65 ppm and −2.28 / −2.44 ppm for both aromatic Hζ3 /Hε3 at the respective W4 and W17 edge positions (inset bar graphs in Figure 2).[61] The NMR and circular dichroism (CD) data, vide infra, revealed that hairpin 1a is indeed well structured with an overall 72 ±1 % folding at physiological temperature (310 K).
Figure 2.

Thermal denaturation of Trpzip foldons with one or two Wface/Wedge pair modifications (1-2) in comparison to the benchmark Trpzip 1a. Best-fitted CD-melts of the fraction folded (χF) as a function of temperature were used to determine thermodynamic stability parameters (inset Tables). Direct evidence of alkyl and aryl CH/π interaction strength by CSDs amplitude (right panel). Error on chemical shift is estimated to be ±0.01 ppm. A. Combining edge and face modifications. B. Edge ring modulations of H-bond donors. C. Face ring modulations of polarizable π-cloud.
Tuning the Wedge/Wface electronic properties to modulate the EtF packing of Trpzip systems: a CD-study.
Using the Trpzip 1a as our benchmark, we initially tested a HOMO/LUMO approach that we believed could strengthen the CH/π interactions within the two W2/W17 and W4/W15 pairs (Figure 2A). Far-UV CD spectra were obtained for assessing the folded hairpin conformations in solution. Facing W/W residues within an EtF packing generate a characteristic and intense π–π* exciton couplet with negative and positive maxima at 214 and 228 ± 1 nm respectively (Figure 2).[35] The decay in amplitude of the molar ellipticity at 228 nm ([θ(T)]228) upon heating was used to measure each hairpin unfolding transition. These thermal denaturations were performed in an aqueous buffer (0 to 95 °C), and the unfolding transitions were fitted to the Gibbs-Helmholtz equation for a two-state model.[61] The thermal-CD analysis clearly showed that all the hairpins studied herein unfolded reversibly. The best-fitted melting curves were computed to obtain plots of %-folding as a function of temperature and determine the corresponding melting temperatures and folding thermodynamic parameters with accuracy (goodness of the fits, R2 ≥ 0.98; Supporting Information). As shown in Figure 2A (inset Table), the introduction of a 5OW at position 2 slightly destabilized the fold of hairpin 1b. In contrast, the introduction of a small but highly electronegative fluorine of 5FW at position 17 created an unexpectedly larger destabilization in 1c.[62] This effect was attributed to an electronic repulsion, as the fluorine substituent being in close proximity to the cross-strand pyrrole nitrogen of W2 (see increased internal entropy in Table S3, Supporting Information). Then we combined these two modifications to increase the non-covalent π interactions between 5OW/5FW pairs. The results for 1d demonstrated that a single modified pair was destabilizing (ΔΔGFo of + 0.83 kcal/mol to 1a), while two pairs fully unfolded peptide 2d to afford a random coil-like structure. In addition, NMR CSDs in 1d revealed more insights about the EtF interactions (inset Figure 2A). While the aliphatic CHβ2/π interactions appeared to be slightly enhanced (Hβ2 upfield shift of −1.20 and −1.19 ppm), the aromatic CHε3/π interactions were significantly reduced, suggesting that the indole rings are on average further apart on the NMR time-scale. These unexpected results —that were later explained by the simultaneous destabilization of NH/π contacts—prompted us to evaluate each CH/π interaction more systematically by modifying edge and face tryptophans separately (Figure 2B–C).
The Wheeler–Houk model of benzene dimers in EtF stacking suggest that substituent effects on the edge ring are primarily electrostatic in nature.[63] These electrostatic interactions originate from the quadrupole moment of the aromatic ring which creates an electron-poor edge. One would therefore expect that the introduction of a fluorine at C6 (6FW), meta to the C–Hε3 bond donor should result in a constructive stabilization (Hammett correlation), yet the fold of 1e was strongly destabilized (ΔΔGFo of + 0.56 kcal/mol to 1a, Figure 2B). As surprising to us was the destabilization created by one or two 7AW residues in hairpins 1f and 2f. In principle, the introduction of electron-withdrawing groups at the para-position 7 should have considerably enhanced the electrostatic component of the CH/π by increasing the partial positive charge of the edge Hε3 hydrogen. Previous studies reported that 7AW residues are prone to form water bridges via a H-bond network between the N1 and N7 positions, which we felt could be associated with an entropic penalty.[64,65] However, the incorporation of two methylated aza-residues MaW in 2g turned out to produce a fairly similar effect (see CD-melts and Tm inset Table, Figure 2B). Having a strongly electron-withdrawing nitrile at C5 (5CW) proved also extremely detrimental to the hairpin fold of 2h as shown by a ΔGFo of + 0.48 kcal/mol resulting in a complete unfolding at 310 K. We then tested a reversed strategy using an electron-donating group at position 7 that could enhance the negative electrostatic potential above and below the indole ring to enhance the edge C–Hε3 bond polarization . This electronic adjustment was achieved through a 7-methoxy donating group (7OW) leading to the most stable edge-modified hairpins 1i and 2i. Yet the NMR data on 2i revealed that the all the local CH/π interactions remained weaker than in the benchmark Trpzip 1a (upfield shifts of −2.21 and −2.44 ppm). Collectively, the results of edge tryptophans modulations (W4 and W17) with electron withdrawing groups at the C5, C6, or C7 ring positions were largely unexpected (Figure 2B). Conversely, the stabilization by an electron-rich 7OW tryptophan (at C7) tend to suggest that additional interactions might contribute to the local stabilization of edge tryptophans (vide infra DFT calculations section).
We then turned our attention towards modifications of face tryptophans W2 and W15 which play the role of π-electron donors in EtF interactions (Figure 2C). It is well documented that for such π-donor systems, contributions to the global interaction energy from dispersion and electrostatic forces vary with the arene substituents.[66–70] To maximize the overall interaction energy and tune the CH/π at these positions, electron-donating substituents were therefore investigated. Face substitutions at C5 are likely to generate steric clashes with the hairpin strand, and 2b (e.g. 5OW) is no exception to this empirical observation. To probe the effect of electron-rich substituents on those indole rings while minimizing any potential steric hindrance, positions N1 and C7 were selected. The introduction of 7OW residues in 1j and 2j afforded a substantial stabilization throughout a larger range of temperatures while the %-folding at physiological temperature did not exceed the one of our benchmark Trpzip 1a. These results were further confirmed by the electron-donating effect of the N-methyl tryptophan (MeW) in peptides 1k and 2k. Indeed, by tuning the electron density of the pyrrole ring, the largest net gain in stability was observed in these Trpzip systems. Hairpin 2k was characterized by a significantly greater stability over the range of temperature studied, with a large Tm upshift of 6 °C relative to the benchmark 1a. This stabilization gain in 2k was further quantified through the largest CSDs recorded for both alkyl and aryl CH/π components (CSDs for Hβ2 up by 0.20 ppm, and up by 0.20–0.30 ppm for Hε3 ~15%). The magnitude of these anisotropic effects for both edge tryptophans relative to all other analogs indicates that the electronically enriched MeW/W pairs are in close proximity forming a strong EtF packing. The steepest slopes observed on CD-melts (at TM) for hairpin 1a, 1j, and 1k highlight a greater cooperativity during the unfolding transition between strap and loop segments, in comparison to analogs 2j and 2k (see Supporting Information, Figure S7). According to the Zimm-Bragg theory, these results strongly suggest that the unnatural tryptophans are enhancing local interactions by transiently populating conformational states throughout the global unfolding. Collectively, these results suggest that by augmenting the π-electron density of both face tryptophans (with inductive and π-resonance donors), a conclusive enhancement of stability can be obtained.
NMR study reveals that a combination of CH/π and NH/π interactions are combining forces.
While the tertiary structures of hairpins 1–2 can be readily assessed by CD-melts, the structure-stability relationship induced by XH/π interactions of varying strength can only be examined at atomic level by NMR experiments (Figure 3).[71] Indeed, the strongest EtF W/W interactions can be definitely recognized in the TOCSY fingerprint aromatic region (4.80–5.50 ppm) due to the magnitude of ring currents imparted by face indole-rings onto the edge-tryptophans W4 and W17 (Figure 3B). The anomalous chemical shifts experienced by edge Hε3 resonances of any new Trpzip system in an EtF geometry can therefore be easily compared by spectral overlay to the benchmark hairpin 1a. For example, the strongest upfield-shifted Hε3 resonances along with a larger split of W4/W17 CSDs are to be expected for the most-folded Trpzip structure 2k, because the two indoles should be in a relatively static interacting conformation. Conversely, minor W4/W17 CSDs for edge tryptophans are characteristic of a more disordered structure (e.g. 2i). The strength of CHε3/π interactions can therefore be qualitatively ranked such as 2k >> 2j >1a > 2i.
Figure 3.

Probing the strength of EtF interactions between W/W pairs in TOCSY spectra. Overlay of the aromatic fingerprint spectral regions for A. FaceW and B. EdgeW of hairpins 1a, 2i-k
To probe the strength of each CH/π and other H-bond interactions in 1a and 2k, the temperature dependence of amides (HN) and tryptophan (Hζ3, Hβ2, Hε3) resonances were recorded over a wide range of temperature (0–70 °C, Fig. S13/S14, Supporting Information). Upon increase in temperature, the resonances of amide protons exposed to bulk water molecules suffer a large upfield shift while hydrogen bonded amides lengthen to a lesser extent resulting in smaller upfield shifts. This effect is characterized by temperature coefficients (ΔδHN/ΔT) of about −6.0 to −10.0 ppb/K for random-coil like amide protons, and more positive than −4.6 ppb/K for hydrogen bonded amides.[72] Using this criterion, the ΔδHN/ΔT of −4.0 and −4.4 ppb/K for the terminal residue E18 and the corrected values of −1.9/−2.0 and −1.7/−1.7 for the V3/V16 pairs, in 1a and 2k respectively, are suggestive of persisting H-bonds within these hairpin structures. Due to the large shielding effect imparted by an indole ring current on X-H bonds, one would expect that H-bond donor hydrogens would experience an opposite downfield chemical shift deviation at higher temperatures characterized by a positive temperature shift coefficient (ΔδH/ΔT ≥ 0 ppb/K). As the energy of hydrogen bonds in XH/π interactions is strongly distance dependent (1/r3), the chemical shift deviations are expected to deviate from linearity upon heating.[32,73,74] Indeed, this is exactly what we found with the large resonance shifts of Hε3 and Hβ2 at both edge W4/W17 and the HN of G14 (see Table S9) characterized by a markedly non-linear behaviour at temperatures comparable to the global hairpin denaturation Tm~50 °C obtained in the CD study. HN and Har chemical shifts typically display a linear and negative temperature dependence (Δδ/ΔT ≤ 0, within experimental uncertainty), although it is striking that protons involved in XH/π interactions deviate strongly from linearity into melting curves resembling to a local unfolding (Δδ/ΔT ≥ 0, up to 25 ppb/K at Tm).The temperature-NMR data for hairpin 1a suggested that even after local conformational corrections, CH/π interactions are not well protected from solvent exposure while the N-H bond of G14 was confirmed to be hydrogen bonded (ΔδHN/ΔT of +3.6 ppb/K). In hairpin 2k, the amide-π interaction remained and all the CH/π interactions appeared more shielded from solvent revealing a stronger hydrogen bond characteristic. The strength of the W17 CHε3/π could be explained by an additional local rigidity of the edge W17 induced by a N-terminal backbone ammonium NH/π interaction with R1.[44,75] Collectively, these results are pointing out that XH/π interactions can be correlated to temperature coefficients within the same order of magnitude than typical hydrogen bonds (Δδ/ΔT ≤ +4.6 ppb/K). It is clear from the temperature coefficient data of individual residues that CH/π and NH/π interactions ruptured at different temperatures and that the hairpin 2k unfolded more gradually (with less cooperativity) than expected by a more simplistic two-state model. Overall the TOCSY fingerprint analysis is a quick label-free technique to determine the presence of CH/π interactions, while the strength of each individual CH/π interaction can be qualitatively measured at the atomic level by temperature experiments. The information of temperature shift coefficients serves as a proxy for the strength of each individual XH/π interaction. Given the importance of XH/π interactions in biological systems[10,12–13], protein—ligand interactions, and catalyst design[6], we anticipate that the measurement of positive temperature coefficients could serve as useful quantitative predictors of contact strength.
Geometrically optimized DFT-model of the Trpzip β-strap motifs.
To confirm the presence of XH/π interactions and their relative strength in the EtF packing, DFT calculations were performed on a set of Trpzip molecules[76] at the M05–2X/6–31G(d) level of theory.[77] To ease the DFT calculations the –G4KKG4– loop of hairpin 1a excluding the glycine unit (G14) (RW2VW4–G4KKG4–W15VW17E) was replaced by a flexible alkyl chain segment of 13 methylenes in to create an hairpin model 1a’ (Figure S17). The geometry of 1a’ was then optimized in a solution phase using a polarizable continuum model (PCM) considering H2O as solvent.[78] The strength of individual CH/π interaction present between the W2/W17 and W4/W15 pairs in 1a’ was calculated through natural bond orbital (NBO) analysis and the corresponding hydrogen bond interaction energies (E2) were obtained (see Table S11).[79] The NBO energies calculated for each individual CH/π interaction were found in excellent agreement with our NMR data (Tables S8–S9) further establishing a trend in strength Hζ3 < Hβ2 < Hε3 of about two-fold. Importantly, the energy minimized DFT structure 1a’ revealed that two NH/π interactions of significant energy (Figure S16) are critical to close both ends of the Trpzip structure (ammonium NH/π of R1 to W17, and amide NH/π of G14 to W4).[] As shown in Figure 4 on the DFT-model hairpin 2k’, the presence of strong NH/π interactions flanking both edge tryptophans certainly explains the difficulties in tuning the electronics of the edge tryptophan residues.[80,81] If electron-withdrawing substituents on Wedge enhance the CH/π strength, they concurrently weaken the NH/π interactions produce by the same ring therefore mitigating the overall energy gain (Figure 2B). To verify this hypothesis, the same DFT calculations and NBO analyses were performed on other Trpzip hairpins 1e’, 1f’, 1i’, and 2k’ having electronic modifications on the Wface (W2/W15) as well as Wedge (W4/W17) residues (Figures S18–S21). All the optimized peptide structures were confirmed as energy minima through their frequency calculations performed at the same level of theory. NBO overlap views for the CH/π and NH/π interactions present in these hairpins are displayed in Figures S22–S26. Overall, the trend of the NBO interaction energies 2k’~1a’>1i’>1f’>1e’ agrees well with the experimental ΔΔGF0 values obtained from thermal denaturations (Table S11), and the measured chemical shift deviations (Table S8). In addition, the calculated stabilization energy in 1e’ was far lower the reason being that NH(R)/π(W17) interaction was largely mitigated by an NH•••F interaction. This new insight supports our experimental data for hairpin 1e, suggesting that electron-withdrawing groups on edge rings (i.e. fluorine, cyano, or aza-ring) are abrogating the NH/π interactions, which in turn destabilizes the entire Trpzip structure. To correlate our results to the Wheeler—Houk model of EtF benzene dimers, the tryptophan/tryptophan interaction was revisited in a simplified system of substituted 3-ethylindole dimers. This model preserved both alkyl and aryl CH/π interactions. Interestingly, the optimized heterodimeric EtF structures presented a similar CH/π pattern than the one found in the β-hairpin peptides (i.e. alkyl C-Hβ facing phenyl ring and aryl C-Hε facing pyrrole ring (see Supporting Information, Figure S27). To evaluate the effect of substituents on the aryl—aryl interactions, the overall interaction energy was decomposed into electrostatic, dispersion, polarization, and exchange-repulsion components (Supporting Information, Tables S17–18).[82] Our results suggest that substituent effects on the edge ring are dictated by a combination of electrostatic and dispersion in large part generated by direct interactions between the local dipoles of substituents to the other ring (Table S17). This trend is exemplified by the destabilizing effect at position 5 in which repulsion can be severe due to the proximity of the substituents to the other ring. On the face ring (Table S18), substituent effects were generally found to be dominated by dispersion, thus suggesting that positions 1 and 5 (to a lesser extent) can be readily tuned to stabilize the EtF stacking (electron-donating groups providing more favorable interactions). Taken together, the effect of substituents on the EtF interactions in our heterodimeric 3-ethylindole model was found to be in general agreement to those reported by Wheeler and Houk,[63,66] and Sherill[82] on benzene-derived dimers. Collectively the DFT model revealed that both edge tryptophans W4/W17 are not only involved in CH/π interactions with Wface residues, but also in critical NH/π interactions with the flanking residues in diagonal positions (HN of both terminal R1 and loop G14) thus providing an additional stabilization.
Figure 4.

DFT calculated 3D-structure of hairpin 2k’ with XH-π interactions and H-bonds correlated to the NMR data of 2k. Side chains of R and E residues at hairpin termini are omitted for clarity.
Conclusions.
In summary, a practical platform for studying the XH/π interactions of unnatural tryptophans within Trpzip paradigm was presented. Our results demonstrated for the first time that a strong correlation exist between the global unfolding of hairpins (tertiary structures) and the gradual rupture of local XH/π interactions observed at an atomic level within the Trpzip motif. The thermal denaturations by CD-melts provided a good estimate of the local EtF stabilization between unnatural tryptophans. To our knowledge, the introduction of two unnatural W/MeW pairs represents the first example of an engineered Trpzip with improved stability over a larger range of temperatures (Tm upshift of 6 °C). Our NMR data definitely established that the Trpzip EtF stacking stabilization stem from a combination of alkyl and aryl CH/π and NH/π interactions. Whereas CHζ3/π are relatively weak in this system, the chemical shifts temperature coefficients of Hε3/Hβ2 from edge tryptophans W4/W17 (ΔδH/ΔT ≤ +4.6 ppb/K) are consistent with the magnitude of typical hydrogen bonds. The combination of CH/π and NH/π interactions described herein was found to confer a unique stability to the β-strap motif to minimize its length and ultimately to assemble β-hairpins with challenging long loops of large conformational entropy. While the π-systems of Wface can be fine-tuned by introducing electron-donating substituents at N1 or C7, the modulation of Wedge H-bond donors proved difficult. In fact, our DFT study revealed that in this pseudo-symmetrical Trpzip system, the flanking NH/π interactions act in an opposite interplay to the CH/π interactions thus rendering the edge tryptophans particularly sensitive to subtile electronic changes. Ultimately, we expect that the present study will provide a foundation for accessing challenging β-hairpins with long loops of varying rigidity typically found in proteins and antibodies. We also anticipate that the combination of alkyl/aryl CH/π interactions and the tuning of their relative strength using modified indole rings in EtF stacking will find further applications in designing catalysts and other supramolecular assemblies.
METHODS SECTION
Peptide Synthesis.
The library of peptides was prepared by solid-phase peptide synthesis (SPPS), using Fmoc chemistry as described elsewhere.[83] Individual peptides were purified by semi-preparative RP-HPLC. Peptide identity was confirmed by matrix-assisted laser desorption ionization time-of-flight (MALDI-TOF) mass spectrometry and NMR spectroscopy. Details of synthesis and characterization for all unnatural tryptophans and the corresponding peptides are in the Supporting Information.
UV Spectrophotometry.
The molar absorptivity of each unnatural tryptophan derivative was obtained at 280 nm and exploited to calculate the peptide concentrations for NMR and CD experiments. In brief, a tryptophan derivative sample was precisely weighted (2–3 mg) and solubilized in methanol to prepare a stock solution (1.0 mg/mL). Three diluted solutions of 100, 50, and 25 μg.ml−1 respectively were prepared from the stock solution and the molar absorptivity (ε280) was calculated by measuring the absorbance (Abs) of each solution at 280 nm. ε280 was obtained by fitting experimental values to a linear model following Beer’s Law Abs=C*ε280*l with C, and l being respectively the α-amino acid concentration and the path length of the cuvette. Standard deviations for the molar absorptivity (ε280) were calculated from four individual measurements. All UV spectra are in the Supporting Information.
Circular Dichroism.
Peptide solutions for circular dichroism (CD) were prepared in a phosphate buffer (15 mM, pH 6.5) at 20–100 μM concentration range. CD spectra were collected on a JASCO J-810 Spectropolarimeter with a temperature controller module JASCO PFD-425S. In brief, both CD spectra and CD-melts (0 to 95 °C) were recorded and the raw spectra were smoothed with SpectraGryph 1.2. A synthetic ‘random’ coil RGVW-G4KPG4-WVWE (SI-4) with a primary sequence similar in length and compactness to all the hairpins studied herein, was prepared and characterized by CD to determine the molar ellipticity value [θ228]RC(95) of an unfolded molecule (0%-folded baseline). The elipticity value [θ228]RC(95) of SI-4 was subtracted to the melting curves to normalize the molar ellipticity which was then fitted as a function of temperature [θ(T)]228 to the thermodynamic Gibbs-Helmholtz equation for two-state model as previously described using a nonlinear fitting square routine protocol in OriginPro 9.0 (Originlab Corporation, U.S.A.).[61] CD spectra, full experimental fitting protocols, thermal stability curves, and tabulated thermodynamic data are in the Supporting Information.
NMR Spectroscopy.
NMR samples were prepared by dissolving the freeze-dried peptide (~ 1–5 mg) in D2O or a mixture of water and D2O (9:1 v/v) using 2,2-dimethyl-2-silapentane-5-sulfonate (DSS) as internal standard for chemical shifts (0 ppm). Residual water peak was suppressed using a PRESAT pulse sequence. All spectra were recorded at 291K (18 °C) either on a Varian Mercury500 (500 MHz) or on a Bruker 400 UltraShield (400 MHz) spectrometer. For temperature NMR experiments, lyophilized hairpins 1a and 2k were reconstituted in H2O/D2O (9:1 v/v) using DSS as internal standard. Proton temperature dependence was measured by recording a set of 1H NMR and TOCSY with PRESAT for water suppression, in a temperature range of 273 to 343 K by intervals of 10 K. The temperature was stabilized for 5 mins before spectral acquisition. Full NMR spectral data, and tabulated data of chemical shift deviations, NOESY schematics, and temperature coefficients (HN and Har) are in the Supporting Information.
DFT Calculations.
To confirm the presence of XH/π interactions and their relative strength in the EtF packing, DFT calculations were performed on our Trpzip model system. An initial 3D-structure generated in Pymol from a known Trpzip system 4 (PDB: 1LE3) was used by replacing the polyglycine loop sequence −G4KKG4− of 1a by a flexible chain segment of 13 methylenes in hairpin 1a’ while keeping the last glycine unit of the loop (G14). The geometry of 1a’ was optimized at the M05–2X/6–31G(d) level of theory, in the solution phase considering H2O as solvent, using the integral equation formalism variant of polarizable continuum model (IEFPCM)[84] available with the Gaussian 09 package.[77] All final geometry-optimized structures had zero imaginary frequencies. The strength of individual CH/π interaction present between the W2/W17 and W4/W15 pairs in 1a’ were qualitatively calculated through natural bond orbital (NBO) analysis using NBO 6.0 software.[85] In addition, a simplified EtF stacking of substituted 3-ethylindole heterodimers (calculated at the same M05–2X/6–31G(d) level of theory) is reported with a decomposition of the interaction energies in the Supporting Information. Optimized structures of 1a’, 1i’, 1f’, 1e’, and 2k’ and their Cartesian coordinates, along with the NBO analysis of CH/π and NH/π interactions are in the Supporting Information.
Supplementary Material
ACKNOWLEDGMENT
We are very grateful for the financial support from the National Institutes of Health (NIGMS Grant: R21GM132754 to S.P.R., and A.D.R.). We would like to acknowledge the financial support received from the Science and Engineering Research Board (SERB), India (Grant No. CRG/2020/002696). The computational support and resources provided by the “PARAM Brahma Facility” under the National Supercomputing Mission, Government of India at the Indian Institute of Science Education and Research Pune are also acknowledged.
Footnotes
Author Contributions
The authors declare no competing financial interest.
ASSOCIATED CONTENT
Supporting Information
The Supporting Information is available free of charge on the ACS Publications website.
Experimental procedures and characterization data of unnatural tryptophans syntheses, procedures and analytical data for all hairpin peptides, details of structural studies (including variable temperature CD and NMR data) for hairpins 1a and 2k, and computational studies are available online (PDF). Separate files contain raw CD-data and denaturation curves (XLSX), and the DFT minimized 3D-structures of hairpins 1a’, 1e’, and 2k’ (MOL).
REFERENCES
- (1).Lehn J-M Supramolecular Chemistry. Concepts and Perspectives; Wiley VCH, Weinheim, 1995. [Google Scholar]
- (2).Bissantz C; Kuhn B; Stahl M A Medicinal Chemist’s Guide to Molecular Interactions. J. Med. Chem. 2010, 53, 5061–5084. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (3).Zondlo NJ Non-covalent interactions: Fold globally, bond locally. Nat. Chem. Biol. 2010, 6, 567–568. [DOI] [PubMed] [Google Scholar]
- (4).Biedermann F; Schneider H-J Experimental Binding Energies in Supramolecular Complexes. Chem. Rev. 2016, 116, 5216–5300. [DOI] [PubMed] [Google Scholar]
- (5).Yamakawa M; Yamada I; Noyori R CH/π Attraction: The Origin of Enantioselectivity in Transfer Hydrogenation of Aromatic Carbonyl Compounds Catalyzed by Chiral η6-Arene-Ruthenium(II) Complexes. Angew. Chem. Int. Ed. 2001, 40, 2818–2821. [DOI] [PubMed] [Google Scholar]
- (6).Neel AJ; Hilton MJ; Sigman MS; Toste FD Exploiting non-covalent π interactions for catalyst design. Nature 2017, 543, 637–646. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (7).Loh CCJ Exploiting non-covalent interactions in selective carbohydrate synthesis. Nat. Rev. Chem. 2021, 5, 792–815. [DOI] [PubMed] [Google Scholar]
- (8).Dill KA; MacCallum JL The Protein-Folding Problem, 50 Years On. Science 2012, 338, 1042–1046. [DOI] [PubMed] [Google Scholar]
- (9).Huang P-S; Boyken SE; Baker D, The coming of age of de novo protein design. Nature 2016, 537, 320–327. [DOI] [PubMed] [Google Scholar]
- (10).Newberry RW; Raines RT Secondary Forces in Protein Folding. ACS Chem. Biol. 2019, 14, 1677–1686. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (11).Burley SK; Petsko GA Aromatic-Aromatic Interaction: A Mechanism of Protein Structure Stabilization. Science 1985, 229, 23–28. [DOI] [PubMed] [Google Scholar]
- (12).Meyer EA; Castellano RK; Diederich F Interactions with Aromatic Rings in Chemical and Biological Recognition. Angew. Chem. Int. Ed. 2003, 42, 1210–1250. [DOI] [PubMed] [Google Scholar]
- (13).Salonen LM; Ellermann M; Diederich F Aromatic Rings in Chemical and Biological Recognition: Energetics and Structures. Angew. Chem. Int. Ed. 2011, 50, 4808–4842. [DOI] [PubMed] [Google Scholar]
- (14).Santiveri CM; Jiménez MA Tryptophan residues: Scarce in proteins but strong stabilizers of β-hairpin peptides. Biopolymers 2010, 94, 779–790. [DOI] [PubMed] [Google Scholar]
- (15).Zondlo NJ Aromatic–Proline Interactions: Electronically Tunable CH/π Interactions. Acc. Chem. Res. 2013, 46, 1039–1049. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (16).Asensio JL; Ardá A; Cañada FJ; Jiménez-Barbero J Carbohydrate–Aromatic Interactions. Acc. Chem. Res. 2013, 46, 946–954. [DOI] [PubMed] [Google Scholar]
- (17).Mahadevi AS; Sastry GN, Cation–π Interaction: Its Role and Relevance in Chemistry, Biology, and Material Science. Chem. Rev. 2013, 113, 2100–2138. [DOI] [PubMed] [Google Scholar]
- (18).Tobola F; Lelimousin M; Varrot A; Gillon E; Darnhofer B; Blixt O; Birner-Gruenberger R; Imberty A; Wiltschi B Effect of Noncanonical Amino Acids on Protein–Carbohydrate Interactions: Structure, Dynamics, and Carbohydrate Affinity of a Lectin Engineered with Fluorinated Tryptophan Analogs. ACS Chem. Biol. 2018, 13, 2211–2219. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (19).Shao J; Kuiper BP; Thunnissen A-MWH; Cool RH; Zhou L; Huang C; Dijkstra BW; Broos J The Role of Tryptophan in π Interactions in Proteins: An Experimental Approach. J. Am. Chem. Soc. 2022, 144, 13815–13822. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (20).Qiu L; Pabit SA; Roitberg AE; Hagen SJ Smaller and Faster: The 20-Residue Trp-Cage Protein Folds in 4 μs. J. Am. Chem. Soc. 2002, 124, 12952–12953. [DOI] [PubMed] [Google Scholar]
- (21).Barik S The Uniqueness of Tryptophan in Biology: Properties, Metabolism, Interactions and Localization in Proteins. Int. J. Mol. Sci. 2020, 21, 8776. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (22).Andersen NH; Olsen KA; Fesinmeyer RM; Tan X; Hudson FM; Eidenschink LA; Farazi SR Minimization and Optimization of Designed β-Hairpin Folds. J. Am. Chem. Soc. 2006, 128, 6101–6110. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (23).Kier BL; Andersen NH Probing the Lower Size Limit for Protein-Like Fold Stability: Ten-Residue Microproteins With Specific, Rigid Structures in Water. J. Am. Chem. Soc. 2008, 130, 14675–14683. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (24).Favre M; Moehle K; Jiang L; Pfeiffer B; Robinson JA Structural Mimicry of Canonical Conformations in Antibody Hyper-variable Loops Using Cyclic Peptides Containing a Heterochiral Diproline Template. J. Am. Chem. Soc. 1999, 121, 2679–2685. [Google Scholar]
- (25).Russell SJ; Cochran AG Designing Stable β-Hairpins: Energetic Contributions from Cross-Strand Residues. J. Am. Chem. Soc. 2000, 122, 12600–12601. [Google Scholar]
- (26).Cochran AG; Skelton NJ; Starovasnik MA Tryptophan zippers: stable, monomeric β-hairpins. Proc. Natl. Acad. Sci. USA 2001, 98, 5578–5583. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (27).Cochran AG; Starovasnik MA; Skelton N Genentech Inc., Hairpin peptides with a novel structural motif and methods relating thereto. US20030175799A1, 2003. [Google Scholar]
- (28).Lin C-W; Culik RM; Gai F Using VIPT-Jump to Distinguish Between Different Folding Mechanisms: Application to BBL and a Trpzip. J. Am. Chem. Soc. 2013, 135, 7668–7673. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (29).Jones KC; Peng CS; Tokmakoff A Folding of a heterogeneous β-hairpin peptide from temperature-jump 2D IR spectroscopy. Proc. Natl. Acad. Sci. USA 2013, 110, 2828–2833. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (30).Bureau HR; Quirk S; Hernandez R The relative stability of trpzip1 and its mutants determined by computation and experiment. RSC Adv. 2020, 10, 6520–6535. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (31).Takekiyo T; Wu L; Yoshimura Y; Shimizu A; Keiderling TA Relationship between Hydrophobic Interactions and Secondary Structure Stability for Trpzip β-Hairpin Peptides. Biochemistry 2009, 48, 1543–1552. [DOI] [PubMed] [Google Scholar]
- (32).Makwana KM; Mahalakshmi R NMR Analysis of Tuning Cross-Strand Phe/Tyr/Trp–Trp Interactions in Designed β-Hairpin Peptides: Terminal Switch from L to D Amino Acid as a Strategy for β-Hairpin Capping. J. Phys. Chem. B 2015, 119, 5376–5385. [DOI] [PubMed] [Google Scholar]
- (33).Joseph JA; Whittleston CS; Wales DJ Structure, Thermodynamics, and Folding Pathways for a Tryptophan Zipper as a Function of Local Rigidification. J. Chem. Theory Comput. 2016, 12, 6109–6117. [DOI] [PubMed] [Google Scholar]
- (34).Wu L; McElheny D; Takekiyo T; Keiderling TA Geometry and Efficacy of Cross-Strand Trp/Trp, Trp/Tyr, and Tyr/Tyr Aromatic Interaction in a β-Hairpin Peptide. Biochemistry 2010, 49, 4705–4714. [DOI] [PubMed] [Google Scholar]
- (35).Anderson JM; Kier BL; Jurban B; Byrne A; Shu I; Eidenschink LA; Shcherbakov AA; Hudson M; Fesinmeyer RM; Andersen NH Aryl–aryl interactions in designed peptide folds: Spectroscopic characteristics and optimal placement for structure stabilization. Biopolymers 2016, 105, 337–356. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (36).Miotto M; Olimpieri PP; Di Rienzo L; Ambrosetti F; Corsi P; Lepore R; Tartaglia GG; Milanetti E Insights on protein thermal stability: a graph representation of molecular interactions. Bioinformatics 2018, 35, 2569–2577. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (37).Richaud AD; Zhao G; Hobloss S; Roche SP Folding in Place: Design of β-Strap Motifs to Stabilize the Folding of Hairpins with Long Loops. J. Org. Chem. 2021, 86, 13535–13547. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (38).Tatko CD; Waters ML Effect of Halogenation on Edge–Face Aromatic Interactions in a β-Hairpin Peptide: Enhanced Affinity with Iodo-Substituents. Org. Lett. 2004, 6, 3969–3972. [DOI] [PubMed] [Google Scholar]
- (39).Tatko CD; Waters ML Selective Aromatic Interactions in β-Hairpin Peptides. J. Am. Chem. Soc. 2002, 124, 9372–9373. [DOI] [PubMed] [Google Scholar]
- (40).Eidenschink L; Kier BL; Huggins KNL; Andersen NH Very short peptides with stable folds: Building on the interrelationship of Trp/Trp, Trp/cation, and Trp/backbone–amide interaction geometries. Proteins 2009, 75, 308–322. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (41).Makwana KM; Mahalakshmi R Asymmetric Contribution of Aromatic Interactions Stems from Spatial Positioning of the Interacting Aryl Pairs in β-Hairpins. ChemBioChem 2014, 15, 2357–2360. [DOI] [PubMed] [Google Scholar]
- (42).Makwana KM; Mahalakshmi R Comparative analysis of cross strand aromatic–Phe interactions in designed peptide β-hairpins. Org. Biomol. Chem. 2014, 12, 2053–2061. [DOI] [PubMed] [Google Scholar]
- (43).Hudson KL; Bartlett GJ; Diehl RC; Agirre J; Gallagher T; Kiessling LL; Woolfson DN Carbohydrate–Aromatic Interactions in Proteins. J. Am. Chem. Soc. 2015, 137, 15152–15160. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (44).Tatko CD; Waters ML Comparison of C–H···π and Hydrophobic Interactions in a β-Hairpin Peptide: Impact on Stability and Specificity. J. Am. Chem. Soc. 2004, 126, 2028–2034. [DOI] [PubMed] [Google Scholar]
- (45).Kiehna SE; Laughrey ZR; Waters ML Evaluation of a carbohydrate–π interaction in a peptide model system. Chem. Commun. 2007, 4026–4028. [DOI] [PubMed] [Google Scholar]
- (46).Laughrey ZR; Kiehna SE; Riemen AJ; Waters ML C–π Interactions: What Are They Worth? J. Am. Chem. Soc. 2008, 130, 14625–14633. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (47).Jiménez-Moreno E; Jiménez-Osés G; Gómez AM; Santana AG; Corzana F; Bastida A; Jiménez-Barbero J; Asensio JL A thorough experimental study of CH/π interactions in water: quantitative structure–stability relationships for carbohydrate/aromatic complexes. Chem. Sci. 2015, 6, 6076–6085. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (48).Ghosh P; Chatterjee J CH–π interaction between cross-strand amino acid pairs stabilizes β-hairpins. Chem. Commun. 2020, 56, 14447–14450. [DOI] [PubMed] [Google Scholar]
- (49).Jäger M; Dendle M; Fuller AA; Kelly JW A cross-strand Trp–Trp pair stabilizes the hPin1 WW domain at the expense of function. Protein Sci. 2007, 16, 2306–2313. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (50).Dyer RB; Maness SJ; Peterson ES; Franzen S; Fesinmeyer RM; Andersen NH The Mechanism of β-Hairpin Formation. Biochemistry 2004, 43, 11560–11566. [DOI] [PubMed] [Google Scholar]
- (51).Olsen KA; Fesinmeyer RM; Stewart JM; Andersen NH Hairpin folding rates reflect mutations within and remote from the turn region. Proc. Natl. Acad. Sci. 2005, 102, 15483–15487. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (52).Ghosh K; Ozkan SB; Dill KA The Ultimate Speed Limit to Protein Folding Is Conformational Searching. J. Am. Chem. Soc. 2007, 129, 11920–11927. [DOI] [PubMed] [Google Scholar]
- (53).Kim J; Keiderling TA All-Atom Molecular Dynamics Simulations of β-Hairpins Stabilized by a Tight Turn: Pronounced Heterogeneous Folding Pathways. J. Phys. Chem. B 2010, 114, 8494–8504. [DOI] [PubMed] [Google Scholar]
- (54).Wu L; McElheny D; Setnicka V; Hilario J; Keiderling TA Role of different β-turns in β-hairpin conformation and stability studied by optical spectroscopy. Proteins 2012, 80, 44–60. [DOI] [PubMed] [Google Scholar]
- (55).Kier BL; Shu I; Eidenschink LA; Andersen NH Stabilizing capping motif for β-hairpins and sheets. Proc. Natl. Acad. Sci. USA 2010, 107, 10466–10471. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (56).Anderson JM; Kier BL; Shcherbakov AA; Andersen NH An improved capping unit for stabilizing the ends of associated β-strands. FEBS Letters 2014, 588, 4749–4753. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (57).Anderson JM; Shcherbakov AA; Kier BL; Kellock J; Shu I; Byrne AL; Eidenschink LA; Andersen NH Optimization of a β-sheet-cap for long loop closure. Biopolymers 2017, 107, e22995. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (58).Viguera A-R; Serrano L Loop length, intramolecular diffusion and protein folding. Nat. Struct. Mol. Biol. 1997, 4, 939–946. [DOI] [PubMed] [Google Scholar]
- (59).Krieger F; Möglich A; Kiefhaber T Effect of Proline and Glycine Residues on Dynamics and Barriers of Loop Formation in Polypeptide Chains. J. Am. Chem. Soc. 2005, 127, 3346–3352. [DOI] [PubMed] [Google Scholar]
- (60).Daidone I; Neuweiler H; Doose S; Sauer M; Smith JC Hydrogen-Bond Driven Loop-Closure Kinetics in Unfolded Polypeptide Chains. PLOS Comput. Biol.2010, 6, e1000645. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (61).Greenfield NJ Using circular dichroism collected as a function of temperature to determine the thermodynamics of protein unfolding and binding interactions. Nat. Protoc. 2006, 1, 2527–2535. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (62).Asai D; Inoue N; Sugiyama M; Fujita T; Matsuyama Y; Liu X; Matsushima A; Nose T; Costa T; Shimohigashi Y Direct evidence of edge-to-face CH/π interaction for PAR-1 thrombin receptor activation. Bioorg. Med. Chem. 2021, 51, 116498. [DOI] [PubMed] [Google Scholar]
- (63).Wheeler SE; Houk KN Origin of substituent effects in edge-to-face aryl–aryl interactions. Mol. Phys. 2009, 107, 749–760. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (64).Chen Y; Rich RL; Gai F; Petrich JW Fluorescent species of 7-azaindole and 7-azatryptophan in water. J. Phys. Chem. 1993, 97, 1770–1780. [Google Scholar]
- (65).Shen J-Y; Chao W-C; Liu C; Pan H-A; Yang H-C; Chen C-L; Lan Y-K; Lin L-J; Wang J-S; Lu J-F; Chun-Wei Chou S; Tang K-C; Chou P-T Probing water micro-solvation in proteins by water catalysed proton-transfer tautomerism. Nat. Commun. 2013, 4, 2611. [DOI] [PubMed] [Google Scholar]
- (66).Wheeler SE; Houk KN Through-Space Effects of Substituents Dominate Molecular Electrostatic Potentials of Substituted Arenes. J. Chem. Theory Comput. 2009, 5, 2301–2312. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (67).Bloom JWG; Raju RK; Wheeler SE Physical Nature of Substituent Effects in XH/π Interactions. J. Chem. Theory Comput. 2012, 8, 3167–3174. [DOI] [PubMed] [Google Scholar]
- (68).Andersson CD; Mishra BK; Forsgren N; Ekström F; Linusson A Physical Mechanisms Governing Substituent Effects on Arene–Arene Interactions in a Protein Milieu. J. Phys. Chem. B 2020, 124, 6529–6539. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (69).Wheeler SE; Bloom JWG Toward a More Complete Understanding of Noncovalent Interactions Involving Aromatic Rings. J. Phys. Chem. A 2014, 118, 6133–6147. [DOI] [PubMed] [Google Scholar]
- (70).Baker EG; Williams C; Hudson KL; Bartlett GJ; Heal JW; Porter Goff KL; Sessions RB; Crump MP; Woolfson DN Engineering protein stability with atomic precision in a monomeric miniprotein. Nat. Chem. Biol. 2017, 13, 764–770. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (71).Platzer G; Mayer M; Beier A; Brüschweiler S; Fuchs JE; Engelhardt H; Geist L; Bader G; Schörghuber J; Lichtenecker R; Wolkerstorfer B; Kessler D; McConnell DB; Konrat R PI by NMR: Probing CH–π Interactions in Protein–Ligand Complexes by NMR Spectroscopy. Angew. Chem. Int. Ed. 2020, 59, 14861–14868. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (72).Andersen NH; Neidigh JW; Harris SM; Lee GM; Liu Z; Tong H Extracting Information from the Temperature Gradients of Polypeptide NH Chemical Shifts. 1. The Importance of Conformational Averaging. J. Am. Chem. Soc. 1997, 119, 8547–8561. [Google Scholar]
- (73).Mahalakshmi R; Raghothama S; Balaram P NMR Analysis of Aromatic Interactions in Designed Peptide Beta-Hairpins. J. Am. Chem. Soc. 2006, 128, 1125–1138. [DOI] [PubMed] [Google Scholar]
- (74).Körling M; Geyer A Beyond Natural Limitations: Long-Range Influence of Non-Natural Flexible and Rigid β-Turn Mimetics in a Native β-Hairpin Motif. Eur. J. Org. Chem. 2015, 6448–6457. [Google Scholar]
- (75).Hughes RM; Waters ML Effects of Lysine Acetylation in a β-Hairpin Peptide: Comparison of an Amide–π and a Cation–π Interaction. J. Am. Chem. Soc. 2006, 128, 13586–13591. [DOI] [PubMed] [Google Scholar]
- (76).Guvench O; Brooks CL Tryptophan Side Chain Electrostatic Interactions Determine Edge-to-Face vs Parallel-Displaced Tryptophan Side Chain Geometries in the Designed β-Hairpin “trpzip2”. J. Am. Chem. Soc. 2005, 127, 4668–4674. [DOI] [PubMed] [Google Scholar]
- (77).Frisch MJ; Trucks GW; Schlegel HB; Scuseria GE; Robb MA; Cheeseman JR; Scalmani G; Barone V; Petersson GA; Nakatsuji H; et al. Gaussian 09 (Revision D. 01), Gaussian, Inc.: Gaussian, Inc., Wallingford, CT, 2009. [Google Scholar]
- (78).Tomasi J; Mennucci B; Cammi R Quantum mechanical continuum solvation models. Chem. Rev. 2005, 105, 2999–3093. [DOI] [PubMed] [Google Scholar]
- (79).Glendening ED; Landis CR; Weinhold F NBO 6.0: Natural bond orbital analysis program. J. Comput. Chem. 2013, 34, 1429–1437. [DOI] [PubMed] [Google Scholar]
- (80).Kumar S; Biswas P; Kaul I; Das A Competition between Hydrogen Bonding and Dispersion Interactions in the Indole···Pyridine Dimer and (Indole)2···Pyridine Trimer Studied in a Supersonic Jet. J. Phys. Chem. A 2011, 115, 7461–7472. [DOI] [PubMed] [Google Scholar]
- (81).Kumar S; Mukherjee A; Das A Structure of Indole···Imidazole Heterodimer in a Supersonic Jet: A Gas Phase Study on the Interaction between the Aromatic Side Chains of Tryptophan and Histidine Residues in Proteins. J. Phys. Chem. A 2012, 116, 11573–11580. [DOI] [PubMed] [Google Scholar]
- (82).Sinnokrot MO; Sherrill CD, Substituent Effects in π–π Interactions: Sandwich and T-Shaped Configurations. J. Am. Chem. Soc. 2004, 126, 7690–7697. [DOI] [PubMed] [Google Scholar]
- (83).Houghten RA, General method for the rapid solid-phase synthesis of large numbers of peptides: specificity of antigen-antibody interaction at the level of individual amino acids. Proc. Natl. Acad. Sci. USA 1985, 82, 5131–5135. [DOI] [PMC free article] [PubMed] [Google Scholar]
- (84).Tomasi J; Mennucci B; Cammi R Quantum Mechanical Continuum Solvation Models. Chem. Rev. 2005, 105, 2999–3094. [DOI] [PubMed] [Google Scholar]
- (85).Glendening ED; Landis CR; Weinhold F NBO 6.0: Natural bond orbital analysis program. J. Comput. Chem. 2013, 34, 1429–1437. [DOI] [PubMed] [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.
