1. Introduction
The regularities and mechanisms of the enzymatic incorporation of natural and modified nucleoside triphosphates by various DNA polymerases are intensively investigated [
1,
2,
3]. The relevant studies allow the creation of modified dNTPs to inhibit the polymerase's enzymatic activity in pathogenic bacteria and viruses and not affect the polymerases of higher organisms [
4,
5,
6,
7]. Other aspects of this field include the creation of aptamers—enzymatically synthesized modified oligonucleotides capable of binding to target proteins with high specificity. This approach can be used to diagnose and treat infectious, cancer, and other diseases [
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20]. The key to this technology is the ability of various polymerases to synthesize DNA strands using nucleoside triphosphates with specific modifications in the structure of bases [
21,
22,
23,
24,
25,
26,
27,
28,
29] and, in particular, to synthesize oligonucleotides with modifications to all bases [
21,
25,
29].
3D-structural models of the enzymatic incorporation of natural and modified nucleotides are also investigated [
1,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40]. Based on X-ray diffraction studies, Steitz T.A [
34] and Rothwell P.J. and Waksman G. [
35] found that, notwithstanding the significantly different amino acid composition, DNA polymerases of various organisms have a common shape resembling that of a half-open right hand and consisting of several subdomains—the so-called fingers, thumb, and palm [
34,
35]. These subdomains cover template fragment and synthesized DNA strand and form an active center where the complementary dNTP is localized. The dNTP is fixed in the necessary conformation by a set of non-covalent bonds with amino acid residues of the polymerase. The process is followed by the subsequent attachment of nucleotide to the growing DNA strand due to the formation of a phosphodiester bond and by the translocation of the substrate for a new round of incorporation [
32,
35].
Taq DNA polymerase is currently one of the most studied DNA polymerases. As shown by Waksman G. et al. [
32], a large fragment of the Taq polymerase, KlenTaq, has open and closed forms, the so-called "relaxed" and "tight" structures, depending on the stage of nucleotide incorporation. The amino acid residues belonging to the active center of the Taq DNA polymerase (Tyr611, Ser612, Gln613, Ile614, Glu615, His639, the amino acid residues of О alpha helix—Arg659, Lys663, and Phe667, as well as Tyr671) form non-covalent interactions with potentially active chemical groups of the nucleotide being incorporated [
32]. Arg660 residue also plays an essential role in incorporating a nucleotide stabilizing the complex's structure due to forming a hydrogen bond with a phosphate group at the 3' end of the primer DNA strand [
32,
33,
36].
A significant study has been done by Marx A. et al. [
36,
37,
38,
39,
40,
41], who analyzed the structures of the "closed" DNA–KlenTaq polymerase complexes with modified dNTPs non-covalently bound to the active center of the enzyme. dNTPs bases were modified with substituents consisting of a linker and aliphatic or aromatic hydrocarbon functional groups. The enzymatic incorporation of these nucleotides occurs due to the presence of free spaces in the structure of the Taq polymerase adjacent to the active center. These free spaces, namely cavity A and cavity B, are located between the finger and the thumb or between the palm and the finger domains, respectively. More specifically, cavity A is “bordered by the Arg587 side chain and residues from the O-helix”, while cavity B “runs parallel to the O-helix” [
40]. When incorporating a modified nucleotide, the enzyme flexibly adapts its structure to various base modifications, redistributing interactions between amino acid residues and the 3' end of the primer DNA strand. Polymerase forms additional non-covalent bonds with the substituent of the modified nucleotide depending on the structure of its linker and functional group. Arg587, Arg660, Ala661, Lys663, and Thr664 amino acid residues were shown to form non-covalent interactions with the substituents.
As noted by Marx A. et al. [
36,
38,
39], efficient enzymatic incorporation of modified nucleotides is facilitated by the chemical groups in the structure of the substituents capable of forming hydrogen or π–cationic bonds with amino acid residues of the DNA polymerase's active center.
Hocek M. et al. [
42] used a docking procedure to localize modified dNTPs at the previously known Bst polymerase–DNA complex structure. π−cation interaction was shown to be between Arg629 of Bst polymerase and the phenyl group of dG
PhTP.
Our recent results [
28] are somewhat consistent with the conclusions of Marx A. et al. [
36,
38,
39]. Using the Taq polymerase, as well as the Tth, Vent (exo-), and Deep Vent (exo-) polymerases, we have shown that the efficiency of PCR incorporation of deoxyuridines modified with aromatic hydrocarbon groups correlated with the hydrophilicity of these groups [
28].
The authors of the above-cited articles used dNTPs with bases modified by 39-577 Da molecular weight substituents. Meanwhile, according to recent studies [
43,
44,
45,
46], enzymatic DNA synthesis may occur in the presence of dNTPs carrying bulkier substituents (molecular weights up to 692 Da). For example Holliger P. et al. [
43] showed the possibility of "colored" DNA synthesis by PCR with genetically modified DNA polymerase in the presence of dCTPs labeled with Cy3 or Cy5 fluorescent dyes.
We found earlier [
46] that the incorporation efficiency of dUMPs modified via linker with analogs of Cy3 and Cy5 cyanine dyes into the DNA chain by Taq polymerase significantly depends on the total charge of the fluorophores. In particular, incorporation efficiency is approximately ten times higher for dUMPs fluorescently labeled with electroneutral zwitterionic analogs of cyanine dyes than dUMPs labeled with negatively charged analogs of cyanine dyes.
Thus in light of the abovementioned results the aims of the current study are:
(i) To investigate the efficiency of PCR amplification on the charge of dNTP-attached bulky aromatic hydrocarbon substituents for different types of DNA polymerases;
(ii) To find the potentially reactive chemical groups of dNTP-attached small and bulky substituents that can participate in non-covalent interactions with Taq polymerase amino acid residues;
(iii) To identify which Taq DNA polymerase amino acid residue groups could be involved in non-covalent interactions with dNTP-attached substituents.
In this work, we used seven DNA polymerases from families A and B (Taq, Tth, Pfu, Vent (exo-), Deep Vent (exo-), Vent, and Deep Vent) to study the efficiency of PCR amplification in the presence of dUTPs C5-modified with bulky substituents (536 - 694 Da). These substituents carry Cy5 dye analogs (Cy5±, Cy5+ or Cy5–) with a neutral (zwitterionic), positive, or negative charge, respectively. The experimental results obtained in this study for bulky substituents as well as those for lighter substituents (126-251 Da) obtained previously [
28] were further compared with the results of molecular modeling using the known 3D structures of KlenTaq polymerase–DNA–dNTP complexes [
33,
40]. It was obtained that the increase in the quantity of non-covalent bonds between various C5-conjugated dUTP substituents and amino acid residues of KlenTaq polymerase resulted in a decrease in PCR amplification efficiency.
3. Discussion
Analysis of the structures of DNA polymerase–DNA–(modified dNTP) 3D complexes aims to understand the mechanisms of enzymatic incorporation of modified nucleotides into the DNA chain. This is essential to find optimal structures of functional dNTP substituents necessary to meet many biotechnological and medical challenges [
52]. Usually, this analysis is time consuming as it is rather empirical and based on direct experimental verification. The correlation between the experimental data and the molecular modeling results obtained in the present study might be applied to facilitate the search for specific substituent structures. The described structural–functional relationships would probably allow one to analyze the properties of modified dNTPs using preliminary computational methods. This approach aims to either increase the efficiency of polymerases or use modified dNTPs as their selective inhibitors. The regularities identified in this study are considered and discussed below.
3.1. Negative Correlation between the PCR Amplification Efficiency in the Presence of the Modified Dutps and the Number of Non-Covalent Bonds between the dUTP-Attached Substituents and DNA Polymerase Amino Acid Residues
A negative correlation between the number of non-covalent bonds formed by dUTP-attached substituents with the KlenTaq polymerase amino acid residues and the PCR amplification efficiency in the presence of the modified dUTPs was found by comparing the experimental data with the results of molecular modeling. Roughly, the PCR efficiency decrease is about 15%, with an increase by one non-covalent bond between the substituent and the polymerase. This correlation turns out to be true for all the studied polymerases.
Molecular modeling has revealed various types of non-covalent bonds responsible for the specificity of dNTP C5-substituent-polymerase interactions: hydrogen, carbon–hydrogen, π–donor hydrogen, electrostatic (attractive charge bonds, π–cation, π–anion bonds), π–lone pair bond, π–sulfur bond, and hydrophobic bonds (π–π-stacked, π–sigma, alkyl, and π–alkyl bonds). This set of interactions obtained in molecular modeling can be helpful in the choice of structural solutions for new polymerase-specific dNTP derivatives in the future.
Thus the number of non-covalent interactions between the substituents and the polymerase amino acid residues can be a potentially variable parameter for regulating the enzyme activity.
3.2. Commonality of Seven Polymerases from the Families A and B to Use the dUTPs Modified with Small or Bulky Aromatic Substituents in PCR
It was found that various polymerases of the A and B families (Taq, Tth, Pfu, Vent (exo-), Deep Vent (exo-), Vent, and Deep Vent) possess a reduced ability (but not too different in values) to incorporate the dUMPs modified with bulky aromatic substituent into the growing DNA strand as compared with natural dTMP (see Figures 2C and 3, and Relationship (3)). This result demonstrates the similarity of all the tested DNA polymerases of the A and B families in the ability to use a substrate that mimics dTTP, the dUTP modified with a certain bulky aromatic substituent.
Our data suggest the similarity of the local environments of dNTP substituents in the active centers of various polymerases. For example, covalent docking used in the present study (see
Table S2) show the formation of π–cation bonds between phenyl rings of functional groups R1-R7 of dU*TP substituents and positively charged amino acid residues Arg587 (in the case of the 5E41 structure) or Lys831 and Arg659 (in the case of the 1QTM structure) of KlenTaq polymerase. Recently, Hocek M. et al. [
42], also published the formation of π–cation interaction between the phenyl ring of dG*TP substituent and Arg629 of another enzyme – Bst polymerase, using docking. Thus, molecular modeling shows that the positively charged polymerase amino acid residues of at least two DNA polymerases form the π–cation bonds with phenyl rings of dU*TP, or dG*TP aromatic substituents. The existence of π–cation interactions between the phenyl ring of the dT*TP or dC*TP substituent and Arg587 and Lys663 of the KlenTaq polymerase was previously shown by Marx A. et al. in X-ray studies [
38].
Moreover, as was published by Marx A. et al. [
53], the same substituent of modified dATP (7- deaza-modified adenosine triphosphate) forms three similar non-covalent bonds for both the KOD DNA polymerase and KlenTaq DNA polymerase. In the case of the KOD polymerase, the substituent forms a hydrogen bond and a carbon–hydrogen bond with Lys487 and an alkyl bond with Ile488 (6Q4T [
50,
53]). In contrast, in the case of the KlenTaq polymerase, the same substituent forms two hydrogen bonds with Thr664 and an alkyl bond with Lys663 (6Q4U [
50,
53]).
Thus, based on the abovementioned results, as well as on the similarity in the secondary structures of DNA polymerases [
34,
35], one can assume that, despite the varieties in the amino acid chains forming the active centers of different polymerases, the chemical groups of the amino acid residues facing the spaces of the active centers, as well as those facing the adjacent regions (possibly forming cavities similar to cavities A and B of the KlenTaq polymerase), form similar local environments not only for dNTPs (that is well known), but also for their substituents.
3.3. The Role of Non-Covalent Interactions between Low-Molecular-Weight Substituents Attached to the C5 Position of the Pyrimidine ring of dUTPs and the Amino Acid Residues of Taq DNA Polymerase in PCR Efficiency
Marx A. et al. [
36,
38,
39,
40] performed X-ray crystallography for many structures. In the paper [
38], he wrote that concerning the modified dNTPs, "hydrogen-bonding capability might improve their substrate properties" and "the introduction of an aromatic ring enables new interactions as cation–π interaction to positively charged amino acid side chains like arginine or lysine. This fact might explain the efficient processing of dT*TP and dC*TP".
Meanwhile, molecular modeling and comparing it with experimental data lead us to the opposite conclusion: the relative efficiency of PCR or PEX in the presence of modified dNTPs decreases with an increase in the number of non-covalent bonds between the substituent and polymerase. These non-covalent bonds may be hydrogen, carbon–hydrogen, π–donor hydrogen, electrostatic (attractive charge bonds, π–cation, π–anion bonds), π–lone pair bond, π–sulfur bonds, and hydrophobic bonds (π–π-stacked, π–sigma, alkyl, and π–alkyl bonds). The data presented in
Figure 5A–E for the modified dUTPs may be an example.
3.3.1. Incorporation Efficiency of dTspinMP and dTdendMP and X ray Structural Data Obtained by Marx A. et al. Analyzed in the Discovery Studio Program
Our conclusion concerning the decrease of incorporation efficiency due to the number of non-covalent bonds between the dUTP substituent and polymerase is in agreement with the previous X-ray data and the results of competitive incorporation of modified dNTPs in the presence of their natural counterparts [
36,
37,
38,
39,
40]. Kinetic experiments published by Marx A. et al. [
36] showed that dT
spinMP (where the small "spin" substituent had a mass of 163 Da) was incorporated by the KlenTaq polymerase with surprisingly less efficiency than dT
dendMP (where the bulkier "dend" substituent had a mass of 577 Da). It would be interesting to understand why a substituent with a significantly larger mass ("dend") inhibits the inclusion of the corresponding nucleotide to a lesser extent than a substituent with a smaller mass ("spin").
In attempting to explain this apparent discrepancy, we analyzed X-ray structures obtained by Marx A. et al. [
36], namely KlenTaq polymerase–DNA–(dT
spinTP or dT
dendTP) complexes using the Discovery Studio program [
49]. We downloaded the corresponding structure files 3OJU.PDB and 3OJS.PDB from the Protein Data Bank [
50] and compared the number of non-covalent bonds formed by "spin" and "dend" substituents with the amino acid residues of the KlenTaq polymerase. It was obtained that two non-covalent carbon–hydrogen bonds were formed by the small "spin" substituent (between the oxygen atom of the "spin" substituent and the carbon atoms of Arg587 and Arg660, respectively). In contrast, only one non-covalent hydrogen bond was formed by the bulky "dend" substituent (between the oxygen atom of the "dend" substituent and the nitrogen atom of Arg587). This fact can be considered in favor of the proposal that a lower number of dNTP substituent–polymerase non-covalent interactions facilitates the enzymatic incorporation of such modified dNMP.
Meanwhile, using the Discovery Studio program, we could ascertain that the "dend" substituent additionally forms five non-covalent bonds with DNA (two hydrogen bonds with a previous nucleotide, dCMP; one π–lone pair bond; and two carbon–hydrogen bonds with the complimentary dAMP). We suppose that these substituent–DNA bonds improve incorporation efficiency at the first step of modified dNTP binding to the enzyme's active center. But at the same time these DNA-substituent interactions do not decrease incorporation efficiency since they do not need to be broken for the subsequent one-step translocation of the polymerase for attaching the next nucleotide.
3.3.2. Competitive Incorporation of the Modified dNTPs and the X-ray Structural Data for KlenTaq Polymerase–DNA–(Modified dNTP) Complexes
To more widely test the usefulness of the developed approach and explain the results recently obtained in different works, we used the data from X-ray structural studies published in recent papers for six substituents in the corresponding twelve X-ray structures, 4DFM, 4DMJ, 4DFP, 4DF8 [
37], 4ELT, 4ELU [
38], 4DFK, 5SZT, 5E41, 4DF4 [
40], 6Q4U, and 6Q4T [
53], obtained by Marx A. et al. The structure files were downloaded from the Protein Data Bank [
50].
Figure 7 shows the relative PEX efficiency values estimated by Marx A. et al. [
37,
38,
40,
53] at dN*TP/dNTP=1:1 (y-axis) plotted against the structure-determined numbers of non-covalent substituent–polymerase bonds (x-axis). Ten out of twelve points on the plot form a negative correlation, while two points corresponding to the structures 4DFM and 4DFJ (circled) are outside. The resulting correlation is characterized by a linear decrease of about 10% per one non-covalent bond, roughly similar to the case of a decrease in the relative efficiency of PCR (15% per one non-covalent bond), as demonstrated in
Figure 5A. The corresponding values of the parameters are included in the table near the plot in
Figure 7.
Notably, each point of the plot was obtained in independent experiments using different nucleotides modified with different substituents. Therefore, one can conclude that non-covalent interactions between dNTP substituents and polymerases really decrease enzymatic incorporation efficiency.
Thus, it can be concluded that non-covalent interactions between low-molecular-weight substituents of the modified dNTPs and the DNA polymerase stabilize the localization of the modified dNTPs in the active center of the enzyme and increase the efficiency of the phosphodiester bond formation. However, the energy of non-covalent bonds should be overcome by their breaking for the subsequent one-step translocation of the polymerase to attach the next nucleotide.
To complete the entire cycle of enzymatic nucleotide incorporation, the energy loss due to the breaking of non-covalent bonds to continue the polymerase movement along the DNA template is more important than the energy gain of localization of the modified dNTP in the enzyme's active center.
3.4. Analysis of Amino Acid Residues of the KlenTaq Polymerase Capable of Forming Non-Covalent Bonds with the dUTP C5-Attached Substituents
The molecular modeling using the Discovery Studio program [
49] and X-ray structures 1QTM and 5E41 [
33,
40,
50] revealed 14 KlenTaq polymerase amino acid residues (Glu530, Val586, Arg587, Arg595, Asp610, Phe647, Pro656, Leu657, Arg659, Arg660, Ala661, Thr664, Glu820, and Lys831) that can potentially form non-covalent bonds with the chemical groups of comparatively light (126-251 Da) or rather bulky (536 - 694 Da) aromatic substituents attached to the С5 position of the pyrimidine ring of the dUTPs localized in the active center of the enzyme.
Amino acid residues Arg587, Arg659, Arg660, Ala661, and Thr664 belong to the active center of the enzyme [
32,
36,
37,
38,
39,
40,
41] while Glu530 and Phe647 extend beyond the active center facing cavity A while Val586, Arg595, Asp610, Pro656, Leu657, Glu820, and Lys831 extend beyond the active center facing cavity B. The non-covalent interactions with 4 of the 14 amino acid residues (Arg587, Arg660, Ala661, and Thr664) were detected experimentally and published previously [
36,
37,
38,
39,
40,
41]. The ten amino acid residues (Glu530, Val586, Arg595, Asp610, Phe647, Pro656, Leu657, Arg659, Glu820, and Lys831) are first predicted in this paper as capable of forming non-covalent bonds with dNTP substituents. The abovementioned amino acid residues can be used as a target in directed mutagenesis to create new polymerases with desirable specificity to the modified dNTP substituents.
4. Materials and Methods
4.1. dUTPs Modified at C5-Position with Bulky or Small Aromatic Substituents
The chemical structures of dUTPs C5-modified with bulky aromatic substituents (536 - 694 Da, including linker -CH=CH-CH
2-NHCO-(CH
2)
5- and bulky aromatic groups which are Cy5+, Cy5±, or Cy5–) or with lighter hydrocarbon substituents R0-R7 (126-251 Da, including linker -CH=CH-CH
2-NHCO-CH
2- and -CH
2-CH
3 or small aromatic groups) are shown in
Figure 1. The synthesis and spectroscopic characteristics of the corresponding modified dUTPs (dU(Cy5±)TP, dU(Cy5+)TP, and dU(Cy5–)TP), as well as PCR efficiency of dUTPs modified with lighter low-molecular-weight substituents R0-R7, were described earlier [
28,
47].
4.2. The DNA Template and Primers.
The 68-nucleotide DNA template and 18- and 17-nucleotide-long primers labeled with Cy3 dye were the same as those used in [
28]:
Template:
5' - TCTCTTGCCCTTTCGTCTCTAAATTGTCTTAATCTCTTCTATCCTTCTCTCTCACCACTTACATCCGC - 3'
Primer P1-Cy3:
Cy3 - NH - 5' - GCGGATGTAAGTGGTGAG - 3'
Primer P2-Cy3:
Cy3 - NH - 5' - TCTCTTGCCCTTTCGTC -3'
Primer sequences and the corresponding primer binding sites are underlined. Adenines subject to complementary binding with modified deoxyuridines of the enzymatically synthesized DNA strand are underlined by wavy lines. Thymines that can be replaced with modified deoxyuridines during PCR are shown italic. The embedding of modified nucleotides complementary to the template is significantly difficult in sites containing clusters of complementary bases. Therefore, the sequence of the DNA template specifically included both the isolated A and isolated AA and AAA repeats to study the ability of the polymerase to use modified dUTPs complementary to these A-repeats. In addition, the template sequence was chosen to avoid the formation of self-complementary structures as much as possible.
4.3. PCR and Electrophoresis
PCR was performed following a protocol similar to the one described previously [
28]. DNA polymerases of different organisms were used, namely
Thermus aquaticus (Taq),
Thermus thermophilus (Tth),
Pyrococcus furiosus (Pfu) DNA polymerases (Sileks, Badenweiler, Germany), as well as
Thermococcus litoralis (Vent),
Pyrococcus GB-D strain (Deep Vent) DNA polymerases, and forms of the native DNA polymerases from
Thermococcus litoralis (Vent (exo-)) and
Pyrococcus GB-D strain (Deep Vent (exo-)) that had been genetically engineered to eliminate the 3´→5´ proofreading exonuclease activity (New England Biolabs, Ipswich, UK).
Each polymetrase’s PCR conditions were selected for efficient amplification with natural dNTPs. Herein, the amount of PCR products amplified with the polymerases was the same for all the considered polymerases within an accuracy of 25%, which allowed for facile observation, registration, and comparison of the electrophoregrams.
The PCR conditions for each of the polymerases and the detailed protocols for PCR amplification, gel electrophoresis, and obtaining gel images are presented in "Part G: PCR and electrophoresis" in Supplementary data.
4.4. Quantitative Analysis of Electrophoretic Bands Containing PCR-Amplified Full-Length DNA Fragments
The relative quantities of the PCR-amplified full-length DNA fragments containing modified dUMPs were estimated by the relative fluorescence intensity of the Cy3 dye conjugated to oligonucleotide primers (λ
absmax=551 nm, λ
emmax=567 nm [
47]). These quantities were calculated separately for each of the elecrophoregram lanes. For this purpose, the summed Cy3 fluorescence intensity of the bands containing full-length DNA fragments with incorporated modified dUMPs was quantified using a virtual rectangular frame that surrounded the bands. The fluorescence intensities of all the pixels surrounded by the frame were summed to obtain the total fluorescence intensity within the frame. The total fluorescence intensity of the blank gel region within the same frame of the same size was then subtracted from the obtained value.
To obtain the relative values of PCR efficiency, the fluorescence intensity of the DNA products containing incorporated modified dUMPs was normalized to the product obtained in the presence of only natural dNTPs.
The relative fluorescence intensity of the Cy5 labeled dUMPs incorporated into DNA strands (λ
absmax=648 nm, λ
emmax=670 nm [
48]) also characterized the relative quantity of the PCR-amplified full-length DNA fragments. Cy5 fluorescence intensity of the bands containing full-length DNA product in each lane was summarized with the same approach, which was used to calculate PCR efficiency in the Cy3 fluorescence range. The obtained quantities were normalized to the maximum value.
4.5. Computer Modeling of 3D Structures of Triple Complexes Consisting of KlenTaq Polymerase–DNA–(Modified dUTP)
3D molecular modeling was carried out using the Small Molecules and Receptor–Ligand Interactions modes found in the Discovery Studio program [
49] and based on known X-ray structures [
33,
40,
50] to localize the substituents at the C5 position of the pyrimidine ring of dUTPs in the active center of the KlenTaq polymerase.
3D structures of the complexes (1QTM and 5E41) determined by X-ray crystallography [
33,
40,
50] were rigidly fixed. The structures of the corresponding deoxypyrimidine triphosphates localized in the active center were also rigidly fixed in accordance with the covalent docking procedure. Water molecules were deleted. Structural solutions were obtained as a result of optimizing the energy of the conformation of the substituents (linker–functional groups, see
Figure 1) and the energy of its interactions with polymerase amino acid residues and DNA.
The types and quantities of the detected non-covalent bonds between the substituent and polymerase were compared with the experimental data regarding the efficiency of PCR amplification in the presence of the corresponding modified dUTPs in the PCR mixture to find possible correlations.
4.6. KlenTaq Polymerase Amino Acid Residues' Ability to Form Non-Covalent Interactions with the dUTP Substituents Attached at the C5 Position of the Pyrimidine Ring Localized in the Active Center of the Enzyme
The capability of KlenTaq polymerase amino acid residues to non-covalently interact with the substituents attached at the C5 position of the pyrimidine ring of dUTP localized in the active center of the enzyme was estimated quantitatively. The mean number of non-covalent bonds formed by a particular amino acid residue per one structural solution, n, was calculated as
where N is the number of non-covalent bonds formed between a particular amino acid residue and the substituents by summing over all the structural solutions. S is the total number of structural solutions obtained in modeling.