 Open Access Article
 Open Access Article
Fei Ding ab and 
Wei Peng*cd
ab and 
Wei Peng*cd
aSchool of Environmental Science and Engineering, Chang'an University, Xi'an 710064, China
bKey Laboratory of Subsurface Hydrology and Ecological Effect in Arid Region of Ministry of Education, Chang'an University, No. 126 Yanta Road, Yanta District, Xi'an 710064, China
cCollege of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005, China. E-mail: crystalw.peng@outlook.com;  Fax: +86-29-87092367;   Tel: +86-29-87092367
dDepartment of Chemistry, China Agricultural University, Beijing 100193, China
First published on 7th May 2019
Inherent protein conformational flexibility is important for biomolecular recognition, but this critical property is often neglected in several studies. This event can lead to large deviations in the research results. In the current contribution, we disclose the effects of the local conformational flexibility on receptor recognition by using an atomic-scale computational method. The results indicated that both static and dynamic reaction modes have noticeable differences, and these originated from the structural features of the protein molecules. Dynamic interaction results displayed that the structural stability and conformational flexibility of the proteins had a significant influence on the recognition processes. This point related closely to the characteristics of the flexible loop regions where bixin located within the protein structures. The energy decomposition analyses and circular dichroism results validated the rationality of the recognition studies. More importantly, the conformational and energy changes of some residues around the bixin binding domain were found to be vital to biological reactions. These microscopic findings clarified the nature of the phenomenon that the local conformational flexibility could intervene in receptor recognition. Obviously, this report may provide biophysical evidence for the exploration of the structure–function relationships of the biological receptors in the human body.
Biological receptors are frequently regarded as the main participant in almost all physiological activities. They have become the primary objects in the study of molecular recognition due to their intricate microenvironment, special spatial structure, and unique function.7 It is discovered so far that most of the functional receptors belong to protein molecule, and these macromolecules can recognize and selectively bind to active ligands. These events would induce conformational alterations in proteins and activate a series of biological responses, and finally represent as different biochemical effects.8 Usually, protein folds into a tightly flexible conformation. However, such conformation is not fully rigid, and its chief characters and total form are decided by the protein's amino acid sequence. This means that the biopolymer is highly dynamic, and its motions are often crucial to its function.9 It is popularly accepted that the role of a compact protein is greatly dependent on its conformation and its capacity to deform.10 The ability to perform biological functions such as catalysts, mechanical effectors, sensors, signaling molecules and transporters depends on the conformational changes of the cohesive protein and on the dynamics of these deformations.11 As a result, a complete understanding of protein function requires an exploration of both the dynamic behaviors of a protein and its static conformational features.
Typically, protein molecule contains a number of loop components. This structural characteristic endows macromolecular conformation with the great flexibility property.12 For example, the conformations of ligand-gated ion channels and albumin from human serum (HSA) possesses a large degree of flexibility, and they can recognize numerous agonists and antagonists with different molecular characters and volumes.13,14 Likewise, α1-acid glycoprotein from human plasma (AGP) holds a flexible ligand recognition patch. The sophisticated geometry of the domain, together with the structural flexibility of loop 1 (β-strands A/B) at its gate, interprets a broad variety of chemicals that could be recognized by this lipocalin.15,16 Therefore we should take conformational flexibility into consideration so as to accurately study the interaction between a receptor and an active ligand. Recently, the accumulating evidences suggested that conformational flexibility coupled to ligand binding played a major role in receptor recognition process, and the conformational changes of the residues in the reaction region and the large-scale loop reorganization are observed upon ligand binding to receptor.17,18 Unfortunately, the physiological significance of the structural feature and the biological role of flexibility of these loops in receptors are still largely unclear as yet.
Given the above-mentioned research background, the present effort was to elaborate the effects of the local conformational flexibility on receptors recognition by employing an atomic-scale computational technique from a biophysical point of view. The concrete content may be divided into the following parts: (I) analysis of the static and dynamic recognition modes of the receptors–bixin conjugates; (II) elucidation of the influences of the local conformational flexibility on the recognition processes; and (III) clarification of the energy bases during receptors recognition. We expect that this attempt can shed physicochemical light on the investigation of the structure–function relationships of the central receptors in the body.
The two-dimensional structure of bixin was downloaded from PubChem (http://pubchem.ncbi.nlm.nih.gov), and the initial structure of the molecule was generated by Sybyl 7.3. The geometry of bixin was subsequently optimized to minimal energy (tolerance of 0.5 kcal mol−1) utilizing the Tripos force field with Gasteiger–Hückel charges,24 and the lowest energy conformer was applied for the docking analysis. The Surflex-Dock program which uses an automatic flexible docking algorithm was utilized to analyze the possible conformation of the ligand that binds to proteins, and the program PyMOL (http://www.schrodinger.com) was finally employed for visualization of the ligand docking results. Furthermore, we selected the CABS-dock web server to perform the full flexible docking so as to validate the rationality of the above semi-flexible docking.25–31 This process can be used to check whether there are similar reaction modes in the output results. As an online software, it could use the crystal structures of HSA and AGP as the protein parts, respectively, and the long-chain structure of bixin may be considered as a peptide. The three-dimensional structure was imported and then the top 10 scored models of the HSA–bixin and AGP–bixin adducts will automatically be exported from the software. These models can be used to verify the semi-flexible docking results derived from Sybyl 7.3.
![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 648 crystallographic solvent molecules, and the shortest distance between the complex and the edge of the box is set to 10 Å. Simulations were operated utilizing the isothermal–isobaric (NPT) ensemble with an isotropic pressure of 1 bar,36 and the temperature of the ligand, protein and solvent (water and counterion) was separately coupled to an external bath held at 300 K, using the Berendsen thermostat with 0.2 ps relaxation time.37 The LINCS algorithm was employed to constrain bond lengths,38 and the long-range electrostatic interactions beyond 10 Å were modeled exploiting the Particle Mesh Ewald (PME) method with a grid point density of 0.1 nm and an interpolation order of 4.39 A cutoff of 14 Å was used for van der Waals' interactions. The MD integration time step was 2.0 fs and covalent bonds were not constrained, and the system configurations were saved every 2.0 ps. To decrease the atomic collisions with each other, both gradient descent and conjugate gradient algorithm were used to optimize the whole system.40,41 First the solvated starting structure was preceded by a 1000-step gradient descent and then by conjugate gradient energy minimization. Subsequently, 100 ps equilibration with position restraints uses to remove possible unfavorable interactions between solute and solvent, and after thorough equilibration, MD simulations were conducted for 100 ns. Moreover, the top two ligand structures in the reaction system were selected to execute the parallel MD simulations, in order to confirm the rationality of the optimal energy conformation for MD simulation. The pure protein was also selected to carry out a time period (50 ns) MD simulation so as to compare with the optimal ligand docking adduct. The results of MD simulations were ultimately illustrated by Visual Molecular Dynamics 1.9.4,42 and the program Discovery Studio Visualizer 4.0 (BIOVIA, San Diego, CA) was used to exhibit the patterns of the MD simulations.
648 crystallographic solvent molecules, and the shortest distance between the complex and the edge of the box is set to 10 Å. Simulations were operated utilizing the isothermal–isobaric (NPT) ensemble with an isotropic pressure of 1 bar,36 and the temperature of the ligand, protein and solvent (water and counterion) was separately coupled to an external bath held at 300 K, using the Berendsen thermostat with 0.2 ps relaxation time.37 The LINCS algorithm was employed to constrain bond lengths,38 and the long-range electrostatic interactions beyond 10 Å were modeled exploiting the Particle Mesh Ewald (PME) method with a grid point density of 0.1 nm and an interpolation order of 4.39 A cutoff of 14 Å was used for van der Waals' interactions. The MD integration time step was 2.0 fs and covalent bonds were not constrained, and the system configurations were saved every 2.0 ps. To decrease the atomic collisions with each other, both gradient descent and conjugate gradient algorithm were used to optimize the whole system.40,41 First the solvated starting structure was preceded by a 1000-step gradient descent and then by conjugate gradient energy minimization. Subsequently, 100 ps equilibration with position restraints uses to remove possible unfavorable interactions between solute and solvent, and after thorough equilibration, MD simulations were conducted for 100 ns. Moreover, the top two ligand structures in the reaction system were selected to execute the parallel MD simulations, in order to confirm the rationality of the optimal energy conformation for MD simulation. The pure protein was also selected to carry out a time period (50 ns) MD simulation so as to compare with the optimal ligand docking adduct. The results of MD simulations were ultimately illustrated by Visual Molecular Dynamics 1.9.4,42 and the program Discovery Studio Visualizer 4.0 (BIOVIA, San Diego, CA) was used to exhibit the patterns of the MD simulations.
| ΔGbind = Gcomplex − (Gprotein + Gligand) | (1) | 
| EMM = EvdW + Eele | (2) | 
| G = 〈EMM〉 = 〈Gnonpol,sol〉 + 〈Gpol,sol〉 − T〈S〉 | (3) | 
| Gnonpol,sol = γ × SASA + b | (4) | 
In these equations the binding free energy, ΔGbind, is constituted of the classical Eproducts − Ereactants (the endpoints), where Eproducts = ΔGcomplex and Ereactants is composed of Gprotein and Gligand. The molecular mechanics energy (EMM) is made up of the van der Waals energy (including the internal energy) (EvdW) and the electrostatic energy (Eele). The polar solvation ingredient (Gpol,sol) is estimated utilizing the generalized Born method. The nonpolar solvation element (Gnonpol,sol) is reckoned using solvent accessible area with the γ parameter set to 0.00542 kcal (mol Å2)−1, and the b parameter set to 0.92 kcal mol−1. The Solvent Accessible Surface Area (SASA) is measured employing the linear combination of pairwise overlaps (LCPO) model.45
Likewise, the reaction center of bixin on AGP is noted to be located at the apolar ligand patch (Fig. 1(C)), residues 27–127, and the Gibbs free energy (ΔG°) of the AGP–bixin is −24.65 kJ mol−1. Obviously, the reaction intensity of the HSA–bixin adduct outweighs the AGP–bixin conjugate to some extent. It may be observed from the recognition mode in Fig. 1(D) that the hydrogen atoms of the carboxyl group in bixin might yield two hydrogen bonds with the oxygen atoms of the carbonyl groups in Val-88 and Ala-99 residues, and the bond lengths are 3.34 Å and 3.01 Å, respectively. Furthermore, the conjugated double bonds of long-chain structure in bixin can generate the π–π stacking with the conjugated ring structures in some aromatic residues, e.g. Tyr-27, Phe-49, and Phe-112. Meanwhile, we could discover that several hydrophobic residues such as Val-41, Phe-49, Phe-51, Leu-79, Val-88, Leu-101, and Leu-110 close to the binding domain, illuminating that the hydrophobic effects existed between the AGP and bixin. These characteristics may facilitate the occurrence of the lipocalin–bixin interaction. Such experimental findings also agrees well with the previous speculation, namely the contemplated binding place was abundant in aromatic residues, and hydrophobic effects seemed to be contained in the receptor recognition.50
Nonetheless, further examination of the hydrophobicity of the domains on two proteins, we will find that bixin insert deeply into the interior of ligand binding areas (Fig. 2), which related greatly to the structural feature of bixin. This exploration perceived that hydrophobic effects provided a prerequisite for the recognition of bixin by proteins besides hydrogen bonds and conjugated effects, since this noncovalent interaction benefits the molecular reactions between the receptors and bixin. In other words, it may enable bixin to situate stably within the domain, and then the chemical can be shipped to target cells in the form of the protein–bixin complexes. This biochemical event plays a significant role in the aimed cargo of active substances to effector cells involved in biological responses such as immunological and inflammatory, because some macromolecules (e.g. AGP) have been observed on the surface of different mammalian cells.51 Based on the static results of in silico docking, we may conclude that the strength of noncovalent interactions in the AGP–bixin adduct is smaller than the HSA–bixin bioconjugate, and the recognition intensity of the AGP–bixin complex is relatively weak as compared with the HSA–bixin reaction. This fact can be ascribed to the structural polymorphism of AGP, and the existing results have revealed that the initial β-sheet-plentiful structure component of AGP turns into an α-helix-bountiful structure element after the lipocalin interact with phospholipid biomembranes, with an accompanying reduction of ligand binding capacity.52
![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 000 ps till the end of the MD simulation, 50
000 ps till the end of the MD simulation, 50![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 000 ps. And in the HSA–bixin system (Fig. 3(B)), the RMSD of protein fluctuates within the time range of 0–40
000 ps. And in the HSA–bixin system (Fig. 3(B)), the RMSD of protein fluctuates within the time range of 0–40![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 000 ps and the bound protein came to reach the equilibrium state at the starting time 60
000 ps and the bound protein came to reach the equilibrium state at the starting time 60![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 000 ps. Whereas the RMSD of bixin fluctuates stably after 20
000 ps. Whereas the RMSD of bixin fluctuates stably after 20![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 000 ps, and a slight increase can be observed and then fluctuated at ∼0.22 nm until the MD simulation finished over a 100
000 ps, and a slight increase can be observed and then fluctuated at ∼0.22 nm until the MD simulation finished over a 100![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 000 ps period.
000 ps period.
In order to disclose the changes of noncovalent interactions of the HSA–bixin adduct between the original conformation and the average conformation, the conformations of protein and bixin between 60![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 000 ps and 100
000 ps and 100![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 000 ps after equilibration were selected and superimposed on the optimal conformation from ligand docking, and the superposition results are displayed in Fig. 4. As can be seen from Fig. 4(A) and (B), the conformational change of HSA is relatively significant. Concretely, the original conformation of protein is observed to be more loose as compared with the average conformation, that is, protein structure has a tendency to converge at the heart of macromolecule during the dynamic HSA–bixin recognition, and thereby making the helical structure of protein more compact. We believe that such conformational alteration would promote the interactions of the protein with bixin. In contrast to the protein, the molecular conformational change of bixin is insignificant, mainly the translation of the conformation. This phenomenon may be explained by the fluctuation difference of RMSD, in particular, the rise of RMSD of bixin at ∼15
000 ps after equilibration were selected and superimposed on the optimal conformation from ligand docking, and the superposition results are displayed in Fig. 4. As can be seen from Fig. 4(A) and (B), the conformational change of HSA is relatively significant. Concretely, the original conformation of protein is observed to be more loose as compared with the average conformation, that is, protein structure has a tendency to converge at the heart of macromolecule during the dynamic HSA–bixin recognition, and thereby making the helical structure of protein more compact. We believe that such conformational alteration would promote the interactions of the protein with bixin. In contrast to the protein, the molecular conformational change of bixin is insignificant, mainly the translation of the conformation. This phenomenon may be explained by the fluctuation difference of RMSD, in particular, the rise of RMSD of bixin at ∼15![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 000 ps primarily represent the spatial translation of the conformation rather than its conformational torsion of bixin. Further examination of the dynamic character of bixin in the binding region (Fig. 4(C)), we can see that the initial conformation of bixin overlaps the average conformation at equilibrium. However, it is worthwhile to note that the terminal carbonyl group in bixin has the spatial torsion to some degree, but hydrogen bonds could also be observed between the bixin and the residues Ser-419, Thr-422, and Thr-467, and the bond lengths are 2.16 Å, 2.27 Å, and 3.33 Å, respectively. Moreover, no dramatic alteration of the critical noncovalent interactions could be detected in dynamic recognition, and the hydrophobic areas constituted by nonpolar residues are still occurred at both ends of the average conformation in equilibrium state. These events should contribute bixin to stably locate within the domain III on HSA.
000 ps primarily represent the spatial translation of the conformation rather than its conformational torsion of bixin. Further examination of the dynamic character of bixin in the binding region (Fig. 4(C)), we can see that the initial conformation of bixin overlaps the average conformation at equilibrium. However, it is worthwhile to note that the terminal carbonyl group in bixin has the spatial torsion to some degree, but hydrogen bonds could also be observed between the bixin and the residues Ser-419, Thr-422, and Thr-467, and the bond lengths are 2.16 Å, 2.27 Å, and 3.33 Å, respectively. Moreover, no dramatic alteration of the critical noncovalent interactions could be detected in dynamic recognition, and the hydrophobic areas constituted by nonpolar residues are still occurred at both ends of the average conformation in equilibrium state. These events should contribute bixin to stably locate within the domain III on HSA.
Similarly, the changing trend of the RMSD of AGP is indicated in Fig. 3(C). It is obviously that the RMSD of the backbone Cα atoms of the lone AGP started going equilibrious state in 4000 ps until the MD simulation finished over a 50![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 000 ps, whereas in the AGP–bixin biosystem (Fig. 3(D)), the RMSD of protein is almost in equilibrium at time node 35
000 ps, whereas in the AGP–bixin biosystem (Fig. 3(D)), the RMSD of protein is almost in equilibrium at time node 35![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 000 ps. Meantime, the fluctuation of the RMSD of bixin in the AGP–bixin adduct is remarkable as compared to the HSA–bixin complex, but the RMSD began to fluctuate stably at the time point ∼40
000 ps. Meantime, the fluctuation of the RMSD of bixin in the AGP–bixin adduct is remarkable as compared to the HSA–bixin complex, but the RMSD began to fluctuate stably at the time point ∼40![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 000 ps, and subsequently, a slight increase might be noticed and finally the RMSD returned to the equilibrium state till the 100
000 ps, and subsequently, a slight increase might be noticed and finally the RMSD returned to the equilibrium state till the 100![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 000 ps time terminal. This phenomenon evidenced that the formation of the AGP–bixin conjugate could reinforce the molecular instability of bixin in the dynamic process. Hence, the average conformations of both AGP and bixin in the time frame from 60
000 ps time terminal. This phenomenon evidenced that the formation of the AGP–bixin conjugate could reinforce the molecular instability of bixin in the dynamic process. Hence, the average conformations of both AGP and bixin in the time frame from 60![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 000 ps to 100
000 ps to 100![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 000 ps have been selected and overlapped the initial conformations, and the superimposed results are listed in Fig. 4.
000 ps have been selected and overlapped the initial conformations, and the superimposed results are listed in Fig. 4.
It is obvious that the original conformation of AGP superposes nicely its average conformation, and no significant changes can be detected in biomolecular structure. This means that the AGP–bixin reaction did not cause considerable alterations in the conformational stability of protein (Fig. 4(D) and (E)). Conversely, bixin has relatively unstable conformational stability during the dynamic recognition, and such point may be detailed interpreted by the RMSF data. Furthermore, we might notice that the average conformation of bixin mainly form hydrogen bond with the residue Arg-90 (Fig. 4(F)), which has notable difference with the hydrogen bonds in the initial conformation. We hold that the principal reason for such disparity could be explained as follows: in static recognition, the strength of hydrogen bonds between the bixin and the residues (Val-88 and Ala-99) is comparatively weak. This will induce a direct result that the original configuration of the carbonyl group in bixin can not exist quite stable in the dynamic reaction, but rather incline to generate large torsion so as to seek a more stable recognition mode. Such issue has also yielded some changes in the conjugated effects during the dynamic reaction. For example, the conjugated effects between the conjugated double bonds in bixin and the benzene rings in the Tyr-27 and Phe-112 residues have a downward tendency, while the conjugated effects between the bixin and the aromatic Phe-49 residue are tending upwards. In addition, because the conformational changes of AGP are faint, several hydrophobic residues could still be surrounded the bixin and produced hydrophobic effects with the active ligand, guaranteeing that bixin may situate stably in the binding domain on the lipocalin.
As noted earlier, although the whole protein reveals a tendency to gather in the center of protein throughout the dynamic process, this event has little effect on the domain III, instead it may increase structural stability in the functional patch. Furthermore, as for the residues of subdomain IIA (Lys-199∼Glu-292), the RMSF values of pure HSA are observed to be less than the HSA–bixin conjugate, which should chiefly originate from the structural features of HSA, that is, subdomain IIA is nearing the domain III (especially subdomain IIIA) in a manner of “face-to-face”. Thus the instability of the two crucial domains will show a status during the dynamic recognition: the exhibition of a relatively stable state by one of the domains could easily trigger the reduction of the stability in other neighboring domains and vice versa. This finding can also help to better understand the correlations between the recognition reactions and biomolecular self-assembly, namely ligand binding could effectively fix the amino acid residues near the reaction region through multiple noncovalent interactions such as hydrogen bond networks, van der Waals' interactions and hydrophobic effects. This fact may decrease the flexibility of binding patch, and it can be used to confirm the reverse relationships between self-assembly and conformational flexibility.25,53 Of course, whether this characteristic could be compatible with other receptor proteins which contain many adjacent ligand binding regions, we will detailedly investigate this issue in later research contents.
Also, the RMSF of both pure AGP and the AGP–bixin system are illustrated in Fig. 5(B). Unlike the HSA–bixin reaction, the overall stability of the residues in pure AGP is somewhat greater than the AGP–bixin complex, suggesting that biomolecular recognition of bixin by AGP could cause an upward tendency for the conformational flexibility and instability in lipocalin. As we have seen, the disappearance of hydrogen bonds between the bixin and the residues Val-88 and Ala-99 may be detected in the dynamic bioreaction, and meanwhile the bixin has generated a new hydrogen bond with the Arg-90 residue. As a result, there needs to be detailed discussion of the RMSF of the three vital residues. It is evident to see the RMSF data of the residues, i.e. Val-88, Ala-99, and Arg-90, have respectively changed from 0.087, 0.073, and 0.102 in pure AGP to 0.079, 0.079, and 0.251 in the AGP–bixin adduct. Undoubtedly, except the residue Arg-90, the changes of the RMSF of the Val-88 and Ala-99 residues are too small in either pure AGP or the AGP–bixin bioconjugate, which indicated that the two residues failed to yield markedly spatial alterations during the dynamic AGP–bixin biointeraction. On the contrary, the residue Arg-90 has significantly spatial change in the dynamic process. Combining the analyses of the distinctions between the original conformation and average conformation in MD simulation, we know that the AGP–bixin reaction own less ability of mutual restraint as a result of the formation of weak hydrogen bonds between the bixin and the residues Val-88 and Ala-99. Thereby it will highly affect the spatial stability of bixin and lead to the gradually decrease and further obliterate the hydrogen bonds between the bixin and the residues (Val-88 and Ala-99) during the dynamic recognition. As regards the Arg-90 residue, it can yield a strong hydrogen bond with bixin and gradually make the terminal carbonyl group in bixin more stable, as the phenomenon of pendulum motion of the carbonyl group existed in MD simulation.
Nonetheless, evaluation of the RMSF of the residues which may generate conjugated effects with bixin, it would be found that the RMSF data of the aromatic residues, viz. Tyr-27, Phe-49, and Phe-112 in pure AGP are 0.065, 0.068, and 0.076, respectively. However, the RMSF values of the three residues are changed to be 0.105, 0.082, and 0.171 in the AGP–bixin conjugate, respectively. It is quite clear that the RMSF of the Tyr-27 and Phe-112 residues in the AGP–bixin adduct is substantially larger than the RMSF in pure AGP except for the Phe-49 residue. The key reason for this issue is that the conjugated effects are discovered to be maintained between the residues Tyr-27, Phe-49, and Phe-112 and bixin in the dynamic bioreaction, but the impact of the noncovalent interaction on the conformational changes of the Phe-49 residue is relatively small, and the conformational alterations of both the Tyr-27 and Phe-112 residues are largely affected by the conjugated effects. Accordingly, along with the bend of bixin conformation, the conjugated effects between the Tyr-27 and Phe-112 residues and bixin are gradually weakened, and yet there is a trend for increasing the conjugated effects between the residue Phe-49 and bixin. Significantly, these detailed research findings regarding the RMSF are concurred highly with the previous conclusions of superposition analyses based upon the dynamic receptors recognition processes.
![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 000 ps MD trajectory at dynamic equilibrium was executed via the approach of MM/GBSA (time interval: 2.0 ps), and the specific energy components of each biological response are summarized in Table 1.
000 ps MD trajectory at dynamic equilibrium was executed via the approach of MM/GBSA (time interval: 2.0 ps), and the specific energy components of each biological response are summarized in Table 1.
| Components | Biosystems | |
|---|---|---|
| HSA–bixin | AGP–bixin | |
| ΔGele | −26.65 ± 0.58 | −18.55 ± 0.61 | 
| ΔGvdW | −29.77 ± 1.52 | −33.39 ± 2.11 | 
| ΔGMM | −56.42 ± 2.37 | −51.94 ± 2.89 | 
| ΔGpol,sol | 47.50 ± 1.81 | 42.04 ± 1.95 | 
| ΔGnonpol,sol | −29.37 ± 1.27 | −22.56 ± 1.03 | 
| ΔGsol | 18.13 ± 0.79 | 19.48 ± 1.45 | 
| ΔGbind | −38.29 ± 2.44 | −32.47 ± 1.76 | 
| ΔGbind (docking) | −34.78 | −24.65 | 
Evidently, the binding free energy of the HSA–bixin conjugate is slightly greater than the AGP–bixin system, which agrees with the data of the Gibbs free energy. This event further demonstrated that the results of static recognition are logically reasonable. As may be seen from Table 1, the following three terms, i.e. electrostatic contribution (ΔGele), van der Waals' contribution (ΔGvdW), and nonpolar solvation contribution (ΔGnonpol,sol) favors the bioreaction of bixin with the two proteins, whereas the electrostatic solvation free energy (ΔGpol,sol) is observed to be unfavorable to the proteins–bixin complexes. Furthermore, the ΔGvdW occupies a predominant role in the binding free energy of biomolecular recognition, and the energy values are respectively −29.77 kJ mol−1 and −33.39 kJ mol−1 for the HSA–bixin and AGP–bixin reactions, which indicated that the conjugated effects are of considerable significance for the proteins–bixin interactions. Nevertheless, the impact of the conjugated effects on the AGP–bixin biosystem is greater than the HSA–bixin adduct, that is because the AGP–bixin bioconjugate has smaller data of the ΔGvdW as compared with the HSA–bixin complex. Notably, these results strongly support the above discussions with regard to in silico docking and MD simulations.
Meantime, one could note that the proportion of the ΔGele in free energy is somewhat small and the energy values are found to be −26.65 kJ mol−1 and −18.55 kJ mol−1 for the HSA–bixin and AGP–bixin reactions, respectively, and this point reflected particularly in the AGP–bixin biointeraction. Strictly, the formation of hydrogen bond derives in the main from the attractive electrostatic interaction between a hydrogen atom and an electron rich atom,54 and therefore the electrostatic energy can be employed to decode the proteins–bixin conjugations. Combining the strength of hydrogen bonds with the data of electrostatic energies, it is easy to perceive that the action of the electrostatic energy on molecular interaction of the HSA–bixin is more significant. This result has also interpreted the reason that the reactivity of the AGP–bixin complex is comparatively weaker than the HSA–bixin conjugate. Besides, it may be noticed from Table 1 that the influences of the solvation effects on the binding free energy of the two proteins–bixin biosystems are nearly the same under the present circumstances.
Still, Fig. 6(B) is the interaction energies of different residues in the polypeptide chain on AGP. It is clear that the interaction energies of the residues formed hydrophobic effects, i.e. Phe-49, Phe-51, Val-88, Ala-99, and Phe-112, are noted to be −3.176, −1.344, −1.289, −1.154, and −2.886 kJ mol−1, which suggested these residues have relatively strong energy contributions to the AGP–bixin bioconjugate, or rather, hydrophobic effects are extremely essential to the AGP–bixin biosystem. Meanwhile, we could see from Fig. 6(B) that the interaction energy of the Arg-90 residue is −4.786 kJ mol−1, revealing the noncovalent interaction between the Arg-90 residue and bixin is more forceful and has the maximal reaction intensity compared to the residues Val-88 and Ala-99. These evidences are enough to explain the utmost importance to the Arg-90 residue in the reaction of AGP with bixin, and also match the results obtained from the dynamic recognition and the RMSF analysis. Moreover, the residues in the sequence 20–130 represent better bioactivity with bixin as a whole, which illustrated the previously experimental conclusions are obviously reasonable, namely the bixin located at the nonpolar patch composed mostly by the residues 27–127 on the lipocalin molecule.
![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) :
:![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 4. The increase of α-helix with a reduction in the β-sheet, turn and random coil demonstrated that bixin yielded markedly noncovalent bonds with some amino acid residues of the polypeptide chain and triggering the conformational changes in proteins, i.e. some degree of proteins stabilization upon bixin conjugation.56,57
4. The increase of α-helix with a reduction in the β-sheet, turn and random coil demonstrated that bixin yielded markedly noncovalent bonds with some amino acid residues of the polypeptide chain and triggering the conformational changes in proteins, i.e. some degree of proteins stabilization upon bixin conjugation.56,57
| Samples | Secondary structure components (%) | |||
|---|---|---|---|---|
| α-Helix (±2%) | β-Sheet (±1%) | Turn (±1%) | Random (±2%) | |
| Free HSA | 55.4 | 7.9 | 13.5 | 23.2 | 
| HSA + bixin (1 ![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) : ![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 2) | 59.1 | 7.3 | 11.9 | 21.7 | 
| HSA + bixin (1 ![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) : ![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 4) | 63.5 | 6.6 | 10.1 | 19.8 | 
| Free AGP | 24.7 | 38.9 | 10.5 | 25.9 | 
| AGP + bixin (1 ![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) : ![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 2) | 26.4 | 38.2 | 9.8 | 25.6 | 
| AGP + bixin (1 ![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) : ![[thin space (1/6-em)]](https://www.rsc.org/images/entities/char_2009.gif) 4) | 28.5 | 39.1 | 8.9 | 23.5 | 
Meanwhile, the previously computational results revealed that the conformational change of HSA was relatively obvious and the biomolecular structure becomes compact, while the conformational change of AGP was not significant. It is evident to us that such conclusion has strongly been supported by the results of CD spectra, because the secondary structures (particularly α-helix) of HSA were markedly changed and the hydrophobicity was enhanced, and the secondary structures of AGP were not changed noticeably. Nevertheless, it should be indicated that the overall conformational changes of the proteins induced by bixin binding could not be attributed to the significant alterations of the compact three-dimensional structure in proteins, but just the appropriate adjustment of their own conformations after the reaction of bixin with HSA/AGP. This manner would help to accommodate the ligand more suitable. In other words, by slightly adjusting the regular conformations of proteins, these biomolecules can enable the ligand to locate at the primary binding domain using the lowest energy conformation. And this biological mode will allow the whole protein–ligand system to possess the minimum energy. Undoubtedly, these experimental outcomes obtained by CD spectra have validated the above computational analyses of the proteins–bixin interactions, that is, the research findings of protein conformational alterations based on molecular docking and MD simulations are quite reasonable.
| Footnote | 
| † Electronic supplementary information (ESI) available: A brief introduction to the ligand bixin, detailed protocol of molecular dynamics simulation of the AGP–bixin reaction, elucidation of the overall energy of the receptors–bixin adducts, molecular structure of bixin, superimposition of the top three bixin conformations, and calculated RMSD for the bixin and the backbone Cα atoms of two proteins. See DOI: 10.1039/c9ra01906e | 
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