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Laboratoire de Biochimie Théorique, CNRS UPR 9080, Institut de Biologie Physico-Chimique, Paris 75005, France
Correspondence: Address reprint requests to Richard Lavery, Tel.: 33-1-58-41-50-16; Fax: 33-1-58-41-50-26; E-mail: rlavery{at}ibpc.fr.
| ABSTRACT |
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| INTRODUCTION |
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Exactly how classical cadherins dimerize is still not clear. The involvement of at least two types of cadherin-cadherin contacts in adhesion has been deduced from electron microscopy experiments (10
,13
). These involve contacts between EC domains belonging to cadherins of the same cell (cis interactions) and contacts between cadherins of interacting cells (trans interactions). These studies do not yet have sufficiently high resolution to reveal the atomic details of the interactions; however, data obtained from mutagenesis experiments have emphasized the role of several amino acids. Among these, mutations of Trp-2 and Ala-80 are known to abolish trans interactions but do not affect cis interactions (10
). Two recent studies have clarified the role of Trp-2 and also shown the importance of Glu-89 in adhesion (14
,15
).
Another source of information on cadherin interactions comes from crystallographic studies of the truncated exodomains and notably from the observed intermolecular contacts. The first high-resolution structures of cadherins concerned the EC1 domain of E-cadherin (16
) and of N-cadherin (17
). Both structures show virtually identical folded domains, but the second study also brought to light two different interfaces between EC1 domains: a parallel interface, proposed to be involved in cis interactions between molecules from a single cell, and an antiparallel contact, presumably representing an intercellular trans interaction. A remarkable feature of the parallel interface is a strand exchange allowing the Trp-2 residue from one monomer to be inserted into the hydrophobic pocket of the partner molecule (containing, among other residues, Ala-80), corresponding to a so-called swapped dimer. The importance of this type of interaction for adhesion is supported by the mutagenesis experiments cited above. These observations led to the so-called zipper model for cadherin interactions (17
). Subsequent crystallographic structures of EC1-2 fragments of E-cadherin (Protein Data Bank code 1EDH and 1FF5) led to different conclusions (10
,18
).
In both of these studies, two EC1-2 monomers form an X-shaped dimer with parallel interactions between the EC1 modules and an interface that spreads into the calcium-binding junction region of the fragments. The parallel nature of this interaction once again suggests a model for cis interactions. In the 1FF5 structure, the Trp-2 residue of each molecule is in its own hydrophobic pocket, unlike the strand-exchanged conformation of the earlier "zipper" model. (The situation of Trp-2 is unclear in the 1EDH structure because the N-terminal residues are not resolved.) We term this structure a "nonswapped" dimer. It is important to note that both 1FF5 and 1EDH structures have been obtained from E-cadherin constructs having either one or two extra residues at the N-terminus. Other studies have shown that elongating the N-terminus of cadherin perturbs interactions and can lead to the loss of adhesive properties (8
,15
,19
). The nonswapped dimer has therefore not been observed with the biologically active form of the N-terminal and must currently be considered hypothetical. It is noted in passing that an N-cadherin EC1-2 dimer, with a correctly processed N-terminal, has been obtained and this structure shows a disordered rather than a swapped strand (20
). However, in light of the other evidence available, the authors of this study concluded that this interface was probably not biologically relevant.
Concerning intercellular trans interactions, a more recent E-cadherin EC1-2 structure (8
) reveals two molecules interacting via their EC1 domains in what approaches an antiparallel arrangement. In this structure (Protein Data Bank code 1Q1P), strand exchange involving Trp-2 is again observed. This structure also resembles another recent result obtained with the complete exodomain of C-cadherin (3
).
In addition to these interactions, another interface is observed between the EC1-2 fragments in many of the structures already cited. This interface involves a parallel contact between the EC1 module of one fragment and the EC2 module of its partner (hereafter termed a "staggered" interaction). Although this interaction has often been considered to be a simple crystal contact, some authors have suggested its possible involvement in cis interactions (3
).
On the basis of these experimental results, a number of different, and sometimes contradictory, models of cadherin-driven adhesion have been put forward. Although there is still no definitive evidence in favor of any single model, the involvement of strand-exchanged dimers has received support from several directions, including recent electron tomography studies of desmosomal cadherins at mouse epidermal cell interfaces which show that cis and trans interactions could both be modeled using strand-exchanged dimer structures (21
).
As concerns the vital role of cadherins in selective cell binding, the experimental data are again complex. Although there is a very high degree of sequence homology between the various classical cadherins, it was initially thought that homophilic interactions were strongly favored. More recent data show that heterophilic interactions can be formed and rather suggest that selectivity results from the collective effects of many individual dimer interactions (22
,23
). One model shows that very small differences in affinity for the swapped dimers could be amplified in this way (24
). The implication of the swapped dimer for the selectivity of classical cadherin interactions has been demonstrated in a recent publication by Patel and co-workers (25
). In this study, structures of type II cadherin ectodomains have been obtained using x-ray crystallography. The swapping mechanism for type II cadherins involves a second tryptophane (Trp-4), which is not present in the type I family (such as E-, N-, and C-cadherins). This study brings further evidence of the involvement of the EC1 domain in cadherin selectivity although, given the small sequence differences between the different cadherins, selectivity of either type I or type II cadherins remains difficult to explain on a purely structural basis. In this context, it should be remarked that biomembrane force probe experiments (26
,27
) have suggested that selectivity may in some cases be related to kinetic rather than thermodynamic factors.
In light of these questions and in the absence of definitive structural data, molecular simulations may be able to contribute to a better understanding of the various cadherin interactions discussed above. We have previously used this approach to study both EC1-2 monomers and the hypothetical nonswapped EC1-2 dimer (with a correctly processed N-terminal). We now present a comparative study of the dynamics and stability of the remaining interfaces discussed above, namely, the swapped and staggered dimers (Fig. 1). All calculations involve EC1-2 fragments of E-cadherin. The results show that the staggered dimer interface is clearly much less stable than the swapped or the (hypothetical) nonswapped forms. Interestingly, the swapped dimer shows a structural change which leads to a transition from the form observed crystallographically for E-cadherin (8
) toward that seen for C-cadherin (3
). We have also made an analysis of the residues involved in the cadherin interfaces which allows us to speculate on their possible role in cell sorting on the basis of the sequence differences between the E-, C-, and N-cadherins.
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| MATERIALS AND METHODS |
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root mean-square deviation (RMSD) of 1.9 Å from the 1FF5 result), but this structure naturally has a solvent-exposed N-terminal and would again require building in missing residues.
Setting up the simulations
The pKa of all the ionizable residues were computed using WHATIF (29
). All of them were found to be in their standard ionization state at neutral pH, leading to a total charge of 20 for each dimer (taking into account the six bound Ca2+ ions). Each dimer conformation was solvated with TIP3P water molecules (30
) and 20 K+ ions were added to neutralize the simulation cells. K+ and Cl ions were further added to achieve an ionic concentration of
0.15 mol L1. The monovalent ions were randomly placed around the solute using the Ptraj module of the AMBER package. An octahedral water box was used for the swapped dimer, but a rectangular box was chosen for the staggered dimer due to the elongated nature of this conformation (Fig. 1). In all cases, a minimum distance of 10 Å was imposed between the solute and the edge of the box. This led to systems comprising
230,000 and 147,000 atoms, respectively, for the swapped and staggered dimers.
MD simulations
MD simulations were carried out using the Pmemd module of the AMBER 8 package (28
) with the parm99 force field (31
). Calculations employed the periodic boundary conditions described above, and the particle mesh Ewald method (32
,33
) was used to treat long-range electrostatic interactions with a real-space cutoff of 9 Å. SHAKE restraints (34
) were applied to all bonds containing hydrogen atoms, and integrations were performed with a 2 fs time step. Both dimers were first submitted to several thousand steps of minimization using 25 kcal mol1/Å2 quadratic restraints on all atoms of the solute. The temperature was then increased to 300 K within 10 ps and stabilized during 40 ps, with the solute still restrained. The restraints were then progressively decreased from 5 to 0.5 kcal/mol1 Å2, with 2000 steps of minimization and 2550 ps MD simulation at each stage. Lastly, 50100 ps of unrestrained dynamics were performed before the production phase. In the case of the staggered dimer, quadratic restraints were applied to two atoms of one monomer constituting a bond lying nearly parallel to the longest axis of the rectangular box (C
-C' Ile-242) to prevent the overall rotation of the solute. Production runs were carried out for 12.5 ns for both dimers. Comparisons were made with the 10 ns simulation of the E-cadherin monomer discussed in our earlier work (11
).
Conformational analysis
Standard conformational analysis was carried out using the Carnal and Ptraj modules of the AMBER package as well as the Profit software developed by A. C. R. Martin (http://www.bioinf.org.uk/software/profit). Accessible surface areas (ASAs) were computed using a Korobov grid of 610 points on the surface of each atom and a probe sphere of 1.4 Å radius (11
,35
). The interface area of a dimer is defined as the difference between the sum of the ASA of the isolated monomers minus the ASA of the dimer. The bending angle and torsion angles between the two EC domains were probed during the simulations using the geometrical definition described in our preceding publication (11
). Briefly, this involves defining an optimal axis for ß-barrel of each EC domain. The bending angle is the angle formed by these axes, whereas the torsion angle is calculated between vectors perpendicular to the domain axis pointing toward two ß-strand residues chosen to give an angle close to zero in the EC1-2 starting structure.
Free energy estimates
Free energy estimates have been computed using the so-called molecular mechanics Poisson-Boltzmann surface area (MM-PBSA) approach (36
,37
). This involved extracting 500 regularly spaced snapshots from the last 5 ns of the monomer and the two dimer simulations. It should be noted that in the monomer simulation, the Trp-2 is included in the hydrophobic pocket of its own EC1 domain. Thus, when calculating free energy of dimerization for the swapped dimer, the effect of strand swapping is taken into account. Gas-phase enthalpies were then calculated using parm99 parameters. The polar part of the solvation free energies was computed using a numerical Poisson-Boltzmann solution with a grid spacing of 0.67 Å, a solute dielectric of 1, a solvent dielectric of 78.5, and a salt concentration of 0.15 mol L1. A surface area term with a surface tension of 0.005 kcal/mol1 Å2 was calculated to account for the nonpolar contribution to solvation free energy. Estimates of solute translational and rotational entropy were derived from classical statistical thermodynamics (38
), whereas conformational entropies were calculated using normal mode calculations (36
) for 10 snapshots sampled uniformly from the last 5 ns of each simulation. Conjugate gradient minimizations, carried out before normal mode calculations, were converged to 0.0001 kcal/mol1 Å1 using a 4 r distance-dependent dielectric function.
| RESULTS AND DISCUSSION |
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1700 Å2 and 1200 Å2, respectively. These values are both below the typical areas for protein-protein interfaces of
2400 Å2 (39
200 Å2 for the swapped dimer during the last 5 ns but to a decrease of
200 Å2 for the staggered dimer during the same period.
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Interestingly, the first phase of this evolution, with each N-terminal integrated into its own ß-barrel, resembles the crystallographic interface of the swapped dimer of C-cadherin (3
). Although E- and C-cadherin are highly homologous (65% for the EC1-2 fragment and 70% for the EC1 domain), the latter exhibits a somewhat larger swapped interface, corresponding to the evolution we see in the E-cadherin dimer. The RMSD time series of our simulation, shown in Fig. 6, demonstrates that the E-cadherin dimer rapidly moves away from its starting conformation and approaches that of C-cadherin. This interface rearrangement takes the structure 5 Å away from its starting point in terms of RMSD, whereas, after the first 500 ps of simulation, it remains within 2.5 Å of the C-cadherin structure.
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If we now assume that C- and N-cadherins can adopt identical dimer conformations, we can ask whether the resulting changes within their aligned sequences appear to be important for each type of dimer. The results are shown in Table 3 by the italics, which indicate residues contributing significantly to the dimer interfaces but differing in sequence for at least two of the three cadherins compared. On this basis, the weak staggered interactions appear to be significantly sequence dependent. In contrast, the strong swapped dimer appears to have a very limited dependence on sequence, and notably, although there are three residues differing between E- and N-cadherin (of which Lys-25 makes a particularly important contribution to the interface), no differences are found between E- and C-cadherin. This observation is in line with several experiments showing specific cell aggregation in the case of E- and N-forms (22
) but no discrimination in the case of the E- and C-forms of cadherin (41
). It also correlates with our finding that, during MD simulations, the swapped dimer of E-cadherin evolves to resemble that of C-cadherin. It should however be repeated that this analysis concerns buried surface areas and not energy contributions and also does not take into account potential structural changes induced by residues outside the dimer interface. It, however, supports the idea that selectivity between different cadherins relies on small and subtle thermodynamic contributions (24
) and could conceivably involve kinetic factors (26
,27
).
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| CONCLUSIONS |
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| ACKNOWLEDGEMENTS |
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Submitted on April 14, 2006; accepted for publication August 24, 2006.
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