Modeling of a P-selectin mediated adhesion inhibitor By Loic Baerlocher University of Geneva Internship for the Master in Proteomics and Bioinformatics Professor: Prof. Olivier Michielin, Swiss Institute of Bioinformatics (SIB) Management: Dr. Vincent Zoete, Swiss Institute of Bioinformatics (SIB) Aurelien Grosdidier, Swiss Institute of Bioinformatics (SIB) March 2007 Modeling of a P-selectin mediated adhesion inhibitor 1/27 Table of Contents Modeling of a P-selectin mediated adhesion inhibitor............................................1 Project.....................................................................................................................3 1. Introduction.........................................................................................................3 1.1 Biological context: Leukocytes, Selectin and therapeutic interest...............3 1.2 Available material..........................................................................................5 1.3 EADock..........................................................................................................6 1.4 Molecular Mechanics Force Field and CHARMM.........................................9 2. Methods.............................................................................................................12 2.1 Overview......................................................................................................12 2.2 Structure preparation..................................................................................12 2.3 Evolutionary parameters.............................................................................13 2.4 Docking experiments...................................................................................14 2.5 Fragment-based structure-based lead optimization....................................15 2.6 Realized predictive docking experiments....................................................17 3. Results...............................................................................................................19 3.1 Ligands with known binding mode..............................................................19 3.1.1 Glycans..................................................................................................19 3.1.2 Peptides................................................................................................20 3.2 Ligands with unknown binding mode..........................................................21 3.2.1 IELLQARK.............................................................................................21 3.2.2 EWVDV..................................................................................................22 3.2.3 Fragments.............................................................................................23 3.3 Sequence mutations....................................................................................23 4. Discussion..........................................................................................................25 4.1 PSGL-1......................................................................................................... 25 4.2 IELLQARK....................................................................................................25 4.3 EWVDV and mutants...................................................................................26 4.4 Fragments....................................................................................................27 4.5 Merging EWVDV and IELLQARK................................................................27 5. Conclusion................................................................................................... ......29 6. Acknowledgments.............................................................................................31 7. Bibliography......................................................................................................31 Modeling of a P-selectin mediated adhesion inhibitor 2/27 Project This molecular modeling study aimed at finding new ligands of the P-selectin inhibiting the assisted adhesion and providing potential anti-inflammatory agents. A molecular docking program was used to find the most favorable positions of molecular fragments and ligands on the P-selectin surface. A structure-based fragment-based lead optimization approach using these results has been experimented to design new peptidic inhibitors. 1. Introduction 1.1 Biological context: Leukocytes, Selectin and therapeutic interest Inflammation is a defense reaction caused by tissue damage or injury, characterized by redness, heat, swelling, and pain. The primary objective of inflammation is to eradicate the irritant and repair the surrounding tissue. The inflammatory response involves three major stages: first, dilation of capillaries to increase blood flow; second, microvascular structural changes and escape of plasma proteins from the bloodstream; and third, leukocyte transmigration through endothelium and accumulation at the site of injury. The leukocyte adhesion cascade is a sequence of adhesion and activation events that ends with extravasation of the leukocyte, whereby the cell exerts its effects on the inflamed site. The five steps of the adhesion cascade are capture, rolling, slow rolling, firm adhesion, and transmigration [1]. Each of these five steps appears to be necessary for effective leukocyte recruitment, since blocking any of the five can severely reduce leukocyte accumulation in the tissue[2]. Modeling of a P-selectin mediated adhesion inhibitor 3/27 Illustration 1: Leukocyte selectin assisted adhesion cascade on endothelium, from capture to transmigation. Image from: http://bme.virginia.edu/ley/images/map.gif Studies using P-Selectin-deficient mice have shown that P-selectin, a cell-surface glycoprotein expressed on activated endothelial cells and platelets, plays a major role in initial leukocyte tethering and rolling [3] in response to inflammatory signals by interacting with its counter-receptor, the P-Selectin Glycoprotein Ligand-1 (PSGL-1)[4], located on leukocyte membrane. P-selectin-specific blocking antibodies have shown that P-selectin participates in the pathophysiology of numerous acute and chronic inflammatory diseases[5], including ischemia/reperfusion injury[6][2]. The roles of adhesion molecules in acute and chronic inflammation has produced an interest for anti-inflammatory agents that function as blockers, suppressors, or modulators of the inflammatory response [7]. Carcinoma metastasis in mice is facilitated by the formation of tumor cell complexes with blood platelets[8]. Specific P-selectin/tumor cell interactions have been revealed, wherein P-selectin mediates early interactions of platelets with tumor cells [9]. Development of antagonists of these interactions showing significant inhibition at concentration in the clinically acceptable range is therefore promising. Examples of both potent and specific P-selectin antagonists remain limited to P-selectin–blocking Modeling of a P-selectin mediated adhesion inhibitor 4/27 antibodies and PSGL-1 derivatives. The crucial role for P-Sel-specificity and affinity of a core-2 Oglycan, known as the syalil-Lewis X motif, and three tyrosine sulfates (Tys) in PSGL-1 derivatives [1012] limit their use. Therefore, the design of new peptidic antagonists of the P-selectin assisted adhesion is of major interest. 1.2 Available material A 3D structure from P-selectin and PSGL-1 has been obtained by X-ray crystallography [13](PDB ID: 1G1S). It consists of a dimer of P-Selectin (C-type lectin and EGF-like domain) in complex with the most important residues from PSGL-1 at 1.9 [Å] resolution. This is made up of fourteen amino acids, further called peptide605-618, covalently linked to the syalil-Lewis X motif made up of six glycans. The covalent bond between the two molecular partners defining PSGL-1 takes place between residue Thr616 and residue NGA625. The structure of PSGL-1 bound to P-selectin is shown in Illustration 3 and 4. The two molecules have been expressed in eukaryotic cells by using plasmids. It is used to represent the conformation of the P-selectin and the position of PSGL-1 through the study. The sequences from two known ligands of P-selectin, namely IELLQARK [14] and EWVDV [15], have been used to generate two small peptides used as ligands for the docking experiments described later. The IELLQARK peptide is known to mimic the syalil-Lewis X motif and to have a high affinity for P-selectin when covalently linked to Thr616 of peptide605-618. The EWVDV peptide, found by phage display, has been shown to be a minimum sequence peptide with high affinity for P-selectin. These peptides specifically inhibit the P-Selectin-mediated adhesion. 1.3 EADock This program [16] has been designed for molecular docking, i.e. finding the most favorable position and orientation, called the binding mode, of a small ligand on a protein surface, in the context of rational drug design. It has been used to obtain high interaction binding modes for the selected ligands. This program rely on an evolutionary engine working under the Darwinian rule "survival of the fittest" and of a Java API mediating the interaction between the docking algorithm and a running CHARMM [17] instance. CHARMM is a program used for molecular mechanics calculations (see chapter 1.4). Modeling of a P-selectin mediated adhesion inhibitor 5/27 Illustration 2 describes the evolutionary algorithm used by EADock. An initial population of binding Seeding Population Constraints checking for the new population Ranking of all the complexes by the simple fitness Clustering of the similar complexes from the population and evaluation of their energy by the FullFitness Children Generation of children by modification of the fittest parents with the EADock operators The full cluster(s) with the most unfavorable ranking is(are) taken out of the search space by the DSSA Parents Ranked population Optimized solutions Illustration 2:EADock evolutionary cycle from seeding to optimized solutions modes is created from a single position of the ligand by stochastic, semi-stochastic, or deterministic modifications with the EADock operators. This is called the seeding. The algorithm selects the fittest solutions with an objective function (see below), and use them as parents. These are modified by the operators to obtain new binding modes with the hope that they will be fitter than their parents. Each created child is then submitted to a local search by energy minimization and evaluated using the CHARMM package. The children are added to the population, replacing the worst elements of the latter. This procedure is repeated until convergence or until a given number of optimization cycles, called generations, have been performed. EADock uses two different functions that complement each other as the selection pressure. The SimpleFitness enables a fast calculation of the energy of all complexes to drive the search toward local minima. Clusters of population elements corresponding to these local minima appear during the evolutionary cycles. The FullFitness, more precise but computationally intensive, is then used to rank the Modeling of a P-selectin mediated adhesion inhibitor 6/27 mature clusters. The SimpleFitness calculates the energy of the complex as follows: receptor E simp =E ligand E vdw E elec intra E intra Eligand is the internal energy of the ligand, which corresponds to the sum of the internal bonded intra (bonds, angles...) and non-bonded (electrostatic and van der Waals interactions) terms. Ereceptor is the internal energy of the receptor, which is constant since the latter is kept fixed intra throughout the simulation. Evdw and Eelec are the van der Waals and electrostatic interaction energies, respectively. The FullFitness adds the solvation effect to Esimp to calculate full clusters average energy as follows: ∆ G solv =∆ G elec ,solv ×SASA ∆ Gelec,solv is the electrostatic solvation free energy calculated through the analytical GB-MV2 Generalized Born model [18][19] implemented in CHARMM. The non polar contribution to the solvation energy is assumed to be proportional to the solvent accessible surface area (SASA) that is buried upon complexation. This is justified by the linear relationship between the SASA and the solvation energy of saturated non polar hydrocarbons [20]. has been set to a value of 0.0072 [kcal/(mol•Å)]. The Dynamic Search Space Adjustment (DSSA), inspired by the tabu search, removes the least favorable clusters from the search space by forbidding the appearance of children similar to these conformations and by removing the corresponding clusters from the population. This promotes evolution and convergence to a minimum by preventing exploration of unfavorable binding modes that have already been identified. 1.4 Molecular Mechanics Force Field and CHARMM CHARMM[17] is a program that has been designed for macromolecular energy minimization and dynamics calculation. CHARMM represents molecules at the atomic level. In order to be able to build polymeric macromolecules, such as proteins, nucleic acids and polyglycans, monomers are defined in the Residue Topology File (RTF). The RTF coming with the standard CHARMM distribution contains the Modeling of a P-selectin mediated adhesion inhibitor 7/27 topologies for all natural amino acids, nucleotides and some glycans. Others can be built and appended when needed. Residues can then be covalently linked and eventually modified to form a full molecule, or chain. The Protein Structure File (PSF) contains the topology, i.e. the connectivity, of the system needed to evaluate its energy. Finally the Coordinate-file (CRD file) list the atom coordinates. CHARMM uses a molecular mechanics energy function where: 1) The bond length stretching is modeled by an harmonic potential: V bond = ∑ k r r −r 02 , where r is the bond length, r the equilibrium distance and k the bondr 0 bonds stretching force. 2) The bond angle bending is also modeled by an harmonic potential: V bond angle = ∑ k −02 , where is the bond angle, 0 the equilibrium value and k the angles angle bending force constant. 3) The torsion of the dihedral angles is modeled by a cosine expansion: V torsion= ∑ dihedrals k [1cos n −] , where is the dihedral angle, k its force constant, n its multiplicity and its phase. 4) The non-bonded interactions between two atoms (here named i and j) are modeled using a Coulomb potential term for electrostatic interactions and a Lennard-Jones potential for van der Waals interactions: V non bonded=∑ 4 ij i, j [ ] ij r ij 12 ij − r ij 6 ∑ i,j qi q j , where q i and q j are the atomic charges of atoms r ij i and j, the dielectric constant, ij the dispersion well depth, ij the Lennard-Jones diameter and r ij the distance between i and j. The sum of these terms gives the total potential energy. V total = ∑ k r r−r 0 ∑ k − 0 2 bonds 2 angles ∑ impropers 2 k −0 Modeling of a P-selectin mediated adhesion inhibitor 8/27 ∑ dihedrals k [1cos n−] ∑ 4 ij i, j [ ] ij r ij 12 − ij r ij 6 ∑ i,j qi q j r ij The analytical Generalized Born model GB-MV2 was used to calculate the electrostatic solvation free energy. This model was found to reproduce the solvation free energies calculated by solving the Poisson equation with 1 % accuracy. The Poisson method for obtaining solvation energies is generally considered a benchmark for implicit solvation calculations. However, GB-MV2 is much faster than solving the Poisson equation (by a factor of about 20) and is therefore very useful to calculate ∆ Gelec,solv for a large number of conformations. The Generalized Born equation is the following: G elec solv= qi q j −1 1 1− ∑ ∑ 2 − D 0.5 , where is the relative permitivity of the 2 i j r ij i j medium, q i and ij q j the atomic charges of atoms i and j, r ij is the interparticule distance i and 2 j r ij the atoms Born radii and Dij = with K s being a constant set to 8. K s i j Modeling of a P-selectin mediated adhesion inhibitor 9/27 2. Methods 2.1 Overview This study has been done in three steps. First, the docking of parts of PSGL-1 have been carried out to assess the ability of the method to reproduce the experimental binding mode. Second, the docking of known ligands, for which no experimental structure is available, has been carried out to predict their binding mode. One is selected to serve as a reference for the next step. Third, a structure-based fragment-based lead optimization procedure was used to rationally design new ligands. This approach is described in details in chapter 2.5. 2.2 Structure preparation The P-selectin receptor has been crystallized in a dimeric form (PDB ID 1G1S). However, since the receptor is active in the monomeric form, only one half of the crystallized dimer detailed in the X-ray structure (i.e. chain A, D and F) has been retained for the study. The positions of the heavy atoms that were not resolved in the experimental structure were added using the CHARMM standard topology for proteins and glycans. All hydrogens atoms, which are not present in the PDB file due to low resolution of the X-ray, were added using the CHARMM module HBUILD. The strontium ion, an artifact for crystallization, has been replaced by the appropriate Ca++ ion. Modeling of a P-selectin mediated adhesion inhibitor 10/27 Illustration 3: The PDB file obtained from the X-ray structure contains a dimer of P-selectin lectin/EGF domains (residues 1-158, showed as a surface) complexed with PSGL1 peptide (residues 605-618 with linked polyglycans on THR 616, showed as ball and sticks) at a resolution of 1.9[Å]. The color code for atoms is: red for oxygens, light blue for sodium and strontium ions (active site), green for 2-methyl2,4-pentanediol (MDP), blue for nitrogens, yellow for sulfurs and white for carbons. Illustration 4: The active site obtained after detailed manipulations. The calcium ion is shown as a dark green sphere. The syalil-Lewis X motif, in balls and sticks, is colored according to the sugar nature: O-Sialic acid in orange, two DGalactoses in light green, N-acetyl-D-glucosamine (NAG) in light blue, Fucose (FUC) in purple and N-acetylgalactosamine (NGA) in pink. The peptide605-618 is shown in balls and sticks with atom color code. The coordinates of P-selectin were kept fixed throughout the whole study. Thus, the ligands were docked on the fixed receptor surface. Only the ligands were flexible. This means that if some conformational change of the receptor is required, the docking is likely to fail. 2.3 Evolutionary parameters The number of generations of the evolutionary process must be sufficient to enable a progressive exploration of the search space. The population size should allow several local minima of the SimpleFitness to be represented in Clusters of limited size. The runs have been carried out with a population of 250 individuals, renewing 25 at each of the 400 generations. The low renewal rate enhances robustness over speed. The clustering of binding modes is based on the root mean square deviation (RMSD) of the heavy atom of the ligand. The RMSD value between two members of a given cluster has been set to a maximum of 1.5[Å]. These settings have been established from the benchmark of EADock [16]. The Region of Interest (ROI), defined as a 15[Å] radius sphere, corresponds to a maximum volume of 14140 [ Å]3 This volume is not fully accessible to the ligand due to the presence of the receptor. Modeling of a P-selectin mediated adhesion inhibitor 11/27 2.4 Docking experiments A docking experiment consists of several docking runs with the same parameters where all optimized solutions are merged in regards of their RMSD to give a clear overview of the ranking and convergence. To save time, a single seeding has been done for each docking experiment. The starting binding modes range from 0–10[Å] RMSD from the reference structure for the docking of ligands with known binding mode, and 0-15[Å] when exploring the binding modes of molecules that were not studied experimentally. Since a docking run using an evolutionary algorithm is not a deterministic procedure, different docking runs, even starting from identical conditions, will not lead to exactly identical results, although they are expected to give similar informations. While merging several runs of a given ligand/protein docking, it is possible to estimate the redundancy (% of identity) of the results obtained by the different runs. When the redundancy between the merged optimized solutions of a docking experiment is too low (arbitrary threshold of 10%), the search space is thought to have been explored inadequately and additional runs are carried out starting from a new seeding. The new results will then be merged with those already acquired. This is repeated until the redundancy criteria is met. For the assessment of the method, a successful optimized result is obtained when the most favorable proposed binding mode, in terms of FullFitness, shows a RMSD between the predicted binding mode and the crystal structure lower than 2[Å] [21]. A difference of FullFitness score greater than 3[kcal/mol] is thought to be significant despite the energy dispersion in a cluster. The best ranked clusters according to the FullFitness are visualized with the USCF Chimera program [22] to verify that the experimentally determined native contacts between the ligand and P-selectin are reproduced. All visualizations and illustrations have been done with this program that combines analytical tools with high quality graphics. DSSA is activated to enhance convergence. 2.5 Fragment-based structure-based lead optimization This method aims at replacing the residues of a docked ligand by new ones that are selected based on their favorable interactions with the targeted receptor. First, the surface of the receptor is explored by EADock with the isolated side chains of the natural amino acids in order to find their favorable positions and orientations. The objective of this first step is to find as many favorable positions as possible. Therefore, the DSSA is not activated for fragments docking since Modeling of a P-selectin mediated adhesion inhibitor 12/27 we are interested in collecting interesting binding modes, and not only finding the most favorable one. The collection of these favorable positions for a given molecular fragment is called a map. Illustration 5: Schematic representation of the fragment-based structure-based lead optimization. Docking of ligand with unknown binding mode Selection of the binding mode of interest Docking of fragments Merging of all results to form the maps Generation of putative mutation for the ligand sequence by searching throughout the maps Docking of mutated ligand This study is interested in creating a peptidic ligand. However, we could also include different chemical functions in this search, although amino acid side chains already provide a diversified panel of physicochemical properties. Next, a list of putative mutations is generated by examining the ability of these favorably positioned side chains to replace the actual side chains of the peptide in the selected binding mode. This examination is based on the examination of the C (ligand)/ C (fragment) distance and of the angles involving the C atom of the ligand and the C atom of the fragments in the map. This is done for each amino acid of the ligand. The optimized binding modes of the fragments that are well placed to be connected to the peptide backbone are retained as putative new residues, thus defining possible sequence modifications of the ligand. The user can restrict the mutations to specific residues (e.g. unfavorable ones) or construct a list of putative peptide ligands in a combinatorial way. These putative ligands are then docked on the protein surface using EADock. The most promising ones, in terms of interactions with the targeted protein, are Modeling of a P-selectin mediated adhesion inhibitor 13/27 retained for further modifications using the same fragment-based approach. This procedure might be repeated several times, finally leading to a list of molecules to be tested experimentally. In order to rank different ligands, the fitness functions are inadequate as the energies of the free ligands are not identical. Therefore the free energy of binding, G bind = E complex −E ligand −E recepteur , is taken into account: G bind = E elec E VDW G elec ,solv ×SASA Illustration 6: Map from the valine fragment docking. The molecule surface is colored according to the electrostatic potential calculated by solving the Poisson-Bolzman equation using the UHBD program[23] (blue positive, red negative). The optimized results for the fragment are in pink wire. The calcium ion is represented as a green sphere. 2.6 Realized predictive docking experiments All peptide ligands have acetylated N-terminus and amidated C-terminus to neutralize their charge unless specified. The following Table summarizes the docking experiments that have been performed to predict the unknown binding modes of ligands, along with their respective number of docking runs. Modeling of a P-selectin mediated adhesion inhibitor 14/27 Ligand Number of runsSecond seeding Fragments 2 N IELLQARK 12 Y IELLQARK with peptide605-618 added on receptor 14 Y IELLQARK with NOE potential 16 Y IELLQARK with NOE potential and peptide605-618 7 N EWVDV 15 Y EWVDV with charged ends 15 Y EWVDV mutants 10 Y EWVDV mutants with charged ends 5 N Table 1: Summary of all unknown binding mode docking experiments Four docking experiments were performed to find the binding mode of IELLQARK. They were carried with or without the presence of residues 605-618 from PSGL-1 on the receptor, and with or without a Nuclear Overhauser Effect (NOE) potential on the nitrogen atom from Lys8 side chain. The latter was added to the CHARMM energy function to mimic the existence of a covalent bond between this atom and Thr616 from PSGL-1. The NOE potential has a null flat bottom in a region defined with a 1[Å] radius, allowing free motions in that area. The energy added by the NOE potential increases harmonically with the selected atom distance to that area. Two docking experiments were performed to find the binding mode of EWVDV. One with an acetylated N-terminus and amidated C-terminus, and another one with charged termini. Also, several docking experiments have been performed for EWVDV derivatives whose sequence has been modified on position 4: the aspartic acid side chain was replaced by seven different fragments from the maps (see below). Two docking experiments were performed for 18 molecular fragments corresponding to all amino-acid natural side chains, except glycine that has no side chain, and proline. The two docking experiments had a different center for the ROI, in order to cover a larger region of the protein surface. Modeling of a P-selectin mediated adhesion inhibitor 15/27 3. Results 3.1 Ligands with known binding mode Ligand Success (RMSD) Cluster rank FullFitness [kcal/mol] Top Cluster Redundancy FullFitness [kcal/mol] FUC Y (0.20) 4 -5071 -5075 36 % NAG-FUC Y (1.51) 4 -4965 -4967 20 % Syalil-Lewis X motif N (3.40) 14 -4894 -4908 34 % Peptide605-609 3 -5499 -5506 22 % N (5.1) Table 2: Summary of the docking experiments described in the next two chapters. The rank and FullFitness of the calculated binding mode closest to the experimental one are given. 3.1.1 Glycans For the glycans, only the docking experiments with fucose (FUC) and N-acetyl-D-glucosamie (NAG)FUC as ligands reproduced the binding mode fulfilling the imposed conditions (see Methods). For the two largest polyglycans docked, i.e. the whole Syalil-Lewis X motif and O-Sialic acid-D-GalactoseNAG-FUC, an optimized solution with a FullFitness score 14 [kcal/mol] over the one from the top clusters has been selected for each. It reproduced the binding mode of FUC and NAG residues with a RMSD smaller than 2[A]. Nevertheless the overall RMSD of these ligands were found to be higher as the other glycans were not docked as experimentally determined. The FullFitness scoring difference is significant and would not lead these optimized solutions to be selected using the standard criteria based only on the FullFitness. Only a comparison with the X-ray structure showed that they were relevant. Other docking experiments failed to reproduce the experimental binding mode. Modeling of a P-selectin mediated adhesion inhibitor 16/27 3.1.2 Peptides Illustration 7: Results of docking for peptide605-609. The side chain of TYS605 has moved and can now make H-bonds with Lys 112 and 8 from P-selectin. A single rotation of a bond has swapped the side chain of amino acid 608 and the whole 609 residue. This represents ¼ of the heavy atoms and only those away from the surface of P-selectin. For the docking of peptide605-609, the proposed binding mode for tyrosine sulfates 605 and 607 correspond to the experimental positions. By comparing the illustration above and Illustration 6, we see that Tys605 has moved to a place enabling the interaction with Lys112 from P-selectin[14]. The high RMSD of this binding mode is due to the swap of the side chain of amino acid 608 and the whole 609 residue. They are not in contact with the P-selectin in the experimental structure so their position is less relevant than the one of the tyrosine sulfates. Therefore this docking is considered to be a success although it has a high RMSD. Other docking experiments failed to reproduce the experimental binding mode. Modeling of a P-selectin mediated adhesion inhibitor 17/27 3.2 Ligands with unknown binding mode 3.2.1 IELLQARK The evolutionary process did not converge for the docking experiments of this peptide. The clusters within 5 [kcal/mol] of the best one were all very different. Most made only few contacts with the receptor. The hydrophobic side chains were not even buried. The best possible position from the docking experiment with IELLQARK as ligand and the NOE potential activated is shown in Illustration 8. Illustration 8: Result for IELLQARK docking in balls and sticks with atom color code on P-Selectin surface. The X-ray position of PSGL-1 is shown in pink wire. The linking oxygen from THR 616 with IELLQARK is shown as a pink ball. This binding mode displays the two expected features from IELLQARK (c.f. Introduction > Available data). It takes the place of the syalil-Lewis X motif and the side chain from the Lys8 from IELLQARK is close enough to make a covalent bond with Thr616 from peptide605-618. Its FullFitness value is -5682 [kcal/mol] while the one of the top cluster is -5692[kcal/mol]. This difference is significant and therefore Modeling of a P-selectin mediated adhesion inhibitor 18/27 this optimized solution would not have been selected without visual validation. 3.2.2 EWVDV Since the nature of the termini was not mentioned in ref [15], docking experiments were carried out once with charged N and C-termini and once with acetylated N-terminus and amidated C-terminus. The top clusters corresponding to the former setup were found to be similar, but the latter setup led to binding modes with a more favorable FullFitness score. The uncharged N and C termini mimic larger natural peptides and do not interfere with the docking by creating additional bonds. A good convergence was observed. All most Illustration 9: Top 2 resulting clusters from EWVDV docking. They differ only by the placement of Trp2 side chain. favorable clusters have similar binding modes and are found in several runs (e.g. Cluster 1 in 6 out of 15 runs and Cluster 4 in 12 out of 15). They differ in the placement of the tyrosine ring, the last valine and/or small translation of the backbone. The proposed binding mode is in the binding pocket of the two tyrosine sulfates, namely Tys 605 and 607. It is ranked fourth with a FullFitness of -5403 [kcal/mol], only 1[kcal/mol] less favorable than the best one. It makes six hydrogen bonds and the tryptophan side chain interacts wih an adjacent Illustration 10: Selected EWVDV binding mode. The interaction sites for the tyrosine sulfates 605 and 607 are occupied. The chosen mutation site points towards the binding pocket of the polyglycans. tyrosine ring in P-Selectin. The glutamate forms H-bonds with Lys112 and Lys8 from P-selectin, and with Tys605 from PSGL-1. The two valine side chains show no interaction with the receptor. Modeling of a P-selectin mediated adhesion inhibitor 19/27 3.2.3 Fragments Illustration 11: Glutamate docking results with original position in ball and stick (white carbons, red oxygens) and final population in pink wire. The surface of the receptor is colored according to the electrostatic potential calculated by solving the Poisson-Boltzmann equation using the UHBD program[23] (blue positive, red negative). Illustration 12: Ten best ranked optimized solution for the Glu side chain in ball and sticks. The green wire indicate expected H-bonds between the ligand and the receptor. The optimized results obtained for the maps showed a good spread throughout the receptor surface and are in agreement with their individual characteristics. For instance, the glutamate side chain is negatively charged, and its most favorable positions were actually found in the most electrostatically positive regions and are stabilized by H-bonds (see figure). 3.3 Sequence mutations The mutated EWVXV peptides have showed favorable binding modes similar to the reference selected above. The following Table gives the Gbind value obtained for the seven mutations of EWVXV, with acetylated N-terminus and amidated C-terminus : Mutation G bind [kcal/mol] Reference Ala -79.4 Gln Lys Met Thr -62.0 -78.0 -47.8 -72.2 Trp Tyr -82.9 -84.5 -75.0 Table 3: Free energy of binding for EWVDV mutants Two mutants, i.e. Thr4 and Trp4, have a significantly better Gbind than the reference. The Gln4 mutant has a Gbind closely related to the one from the reference. The difference in Gbind of the Modeling of a P-selectin mediated adhesion inhibitor 20/27 other mutants is significantly lower. Modeling of a P-selectin mediated adhesion inhibitor 21/27 4. Discussion 4.1 PSGL-1 The docking of PSGL-1 was carried out to ensure that the docking protocol was able to identify the X-ray structure as the most favorable binding mode. But some residues play little role in the interactions between the ligand and the receptor. Thus their position in the X-ray structure is expected to be particularly sensitive to the crystal contacts and to the crystal water molecules. Since the scoring functions of EADock have been developed to reproduce the situation is solution (no crystal contacts), the docking runs are not expected to reproduce the experimental X-ray binding modes of these particular residues. Only the FUC and NAG-FUC binding modes were reproduced properly for the glycans. They both contain a fucose residue that is the most buried and important glycan for the interaction [10]. Therefore proposed binding modes not corresponding to the X-ray structure were expected for the other glycans when docked separately. The presence of the rest of the sialyl-Lewis X motif might have been required to docked them adequately, but this hasn't been tested. The docking experiment of peptide605-609 reproduced the binding mode seen in the X-ray structure. The docked positions of the two tyrosine sulfates are compatible with the experimental data. Again, these residues are essential for the interaction of PSGL-1 and P-selectin [10]. Overall the binding modes of the most important residues for this interaction have been reproduced. 4.2 IELLQARK The poor convergence of the docking runs carried out for this peptide indicates that the search space was not adequately explored although the final clustering showed a redundancy over 10%. Many top ranked clusters made only few interactions with the receptor. The use of NOE potential introduced a bias used to oversample possible binding modes mimicking the effect of the bond between Lys8 from IELLQARK and Thr616 from peptide605-618. Some improvements were observed, yet still insufficient for the algorithm to converge. Therefore, the parameters for this docking experiment should be changed or the fitness functions improved, or both. Modeling of a P-selectin mediated adhesion inhibitor 22/27 Reducing the ROI would reduce the number of binding modes that can be explored. Consequently the density of populated binding modes would increase and it should enhance convergence. The population and the number of generations can be increased but this comes at the price of longer runs. Overall, the number of degrees of freedom resulting from the size of the peptide is thought to be one of the limiting factor, so it could be cut down into pieces as it has been done with PSGL-1. The docking of these pieces should at least indicate the most important residues for the interaction. 4.3 EWVDV and mutants The two docking experiments for EWVDV have converged. They indicate an unambiguous binding site, although six binding modes of close FullFitness are still competing. It indicates that EWVDV interfere with PSGL1 docking as competitive inhibitor for the interaction region of Tys605 and Tys607. The chosen mutation site is located on Asp4. Experimental data has been obtained only for the Lys4 mutant that shows 1000 time less affinity for P-selectin than EWVDV[15]. This is in agreement with its lower calculated Illustration 13: Results for high ranked binding mode for the tryptophan mutant of EWVDV in blue and EWVDV reference binding mode in purple. The mutation has moved the last valine away from the reference structure, but the main interactions are still present. Gbind . The Gbind values for the Thr4 and Trp4 mutants suggest that they should have a slightly higher affinity than EWVDV. The Gbind value for the Gln4 mutant suggest that it should have a similar affinity. This should now be tested in vivo for further validation. 4.4 Fragments At least one mutation was proposed for half of the residues of the mutated ligands. For EWVDV, a total of 42 different mutants were generated by combinatorial replacements. This shows that using only standard amino acid already results in a high number of putative mutations. Runs were carried out for peptides with one or two mutations, but most have been docked with a RMSD Modeling of a P-selectin mediated adhesion inhibitor 23/27 to the reference binding mode greater than 2[Å]. Only EWVDV single mutants were found to have binding modes similar to the reference. Since it is the only mutated peptide where runs have converged, this can be thought as a prerequisite to mutation. 4.5 Merging EWVDV and IELLQARK The results for the docking of these two peptides are close and complementary, with the N atom of Glu2 in IELLQARK and C terminal carbon of EWVDV closer than 4[Å]. Therefore a 12 residues long peptide that fits to the receptor has been built with a glycine as linker between the two molecules. The docking of this peptide has not been carried out because of its size. Illustration 14: EWVDV and IELLQARK best binding modes in ball and stick (except residue Ile in sticks for IELLQARK) with atom color code on P-Selectin surface. In green the C-terminal carbon of EWVDV and in yellow the nitrogen of Glu2 in IELLQARK. Illustration 15: EWVDVGELLQARK binding mode resulting from the merging of the two selected binding mode. Modeling of a P-selectin mediated adhesion inhibitor 24/27 5. Conclusion The combination of EADock and CHARMM has shown the ability to reproduce the key features of the binding mode of PSGL-1 fragments, but only for minimal necessary sequences. Since an uncertainty for the position of the low interaction residues is inerrant to an X-ray structure, EADock can be used to propose a possible binding mode of high affinity ligands, for which no experimental data is available. The parameters used for the docking experiments of the IELLQARK peptide did not allow the evolutionary process to converge. Several explanations are possible. For example, its interaction might require some conformational changes of the receptor, or the size of the peptide might require a longer evolutionary process. This means that the global minimum might have been not explored at all. Finally, the fitness functions have shown some limitations as all runs had top ranked clusters with only few contacts with the receptor, whereas a binding mode with a less favorable FullFitness score but more interactions with the receptor has been generated by the docking experiment. The use of a single NOE potential for IELLQARK has shown its ability to act as a selection pressure, as many binding modes where explored with the required position for the selected atom. Using double NOE potential on both ends of peptides could allow docking of fragments of chains, but should then be considered as local search. EWVDV docking runs converged to several highly similar binding modes. Its mutants exhibited similar top ranked binding modes. Two mutants out of seven have a better calculated Gbind than the reference, which makes them potential new high affinity ligands. This gives credit to the structure-based fragment-based approach as a method for enhancing ligands affinity in the context of rational drug design. Given binding modes calculated for IELLQARK and EWVDV have been selected to form a 13 peptide ligand. Our confidence on this result is limited because of the uncertainties for the selected binding mode of IELLQARK and the lack of reference for its free energy of binding. Modeling of a P-selectin mediated adhesion inhibitor 25/27 6. Acknowledgments I would like to thanks: Olivier Michielin for welcoming me into his research group. Amid Hussain Kahn for his help with the condor cluster that as been necessary for the calculations. A particular thanks to: Aurelien Grosdidier for his time, help and expertise with the informatics problems I encountered. Vincent Zoete for his time, help and expertise with the chemical and physical issues. Finally, I would like to thank the whole research group for making the time I spent in Lausanne enjoyable. 7. 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