How the headpiece hinge angle is opened: new insights into the dynamics of integrin activation

Abstract

How the integrin head transitions to the high-affinity conformation is debated. Although experiments link activation with the opening of the hinge angle between the βA and hybrid domains in the ligand-binding headpiece, this hinge is closed in the liganded α_vβ₃ integrin crystal structure. We replaced the RGD peptide ligand of this structure with the 10th type III fibronectin module (FnIII₁₀) and discovered through molecular dynamics (MD) equilibrations that when the conformational constraints of the leg domains are lifted, the βA/hybrid hinge opens spontaneously. Together with additional equilibrations on the same nanosecond timescale in which small structural variations impeded hinge-angle opening, these simulations allowed us to identify the allosteric pathway along which ligand-induced strain propagates via elastic distortions of the α1 helix to the βA/hybrid domain hinge. Finally, we show with steered MD how force accelerates hinge-angle opening along the same allosteric pathway. Together with available experimental data, these predictions provide a novel framework for understanding integrin activation.

Introduction

The interplay of mechanical forces between cells and their surroundings regulates crucial processes such as cell shape, differentiation, and protein expression (Bershadsky et al., 2003; Ingber, 2003; Katsumi et al., 2004; Vogel and Sheetz, 2006). Integrins are large transmembrane adhesion proteins that provide the physical link between the extracellular matrix and the contractile cytoskeleton. Integrins are heterodimers, composed of α and β subunits that associate noncovalently to form an extracellular, ligand-binding headpiece, followed by two multidomain “legs,” two transmembrane helices, and two cytoplasmic tails (Fig. 1 A).

Figure 1.

Set up. (A) Diagram of the FnIII₁₀ crystal structure (yellow; Leahy et al., 1996) docked to the liganded α_vβ₃ integrin crystal structure (Xiong et al., 2002). α and β subunits are indicated in blue and gray, respectively. Transmembrane domains and extracellular β-subunit domains not resolved in the original crystal structure were added in pink. (B) The FnIII₁₀–α_vβ₃ integrin headpiece complex (908 residues) was simulated in a box of explicit water molecules.

Integrins are not constitutively active. Rather, ligand-binding affinity is regulated via conformational change that can originate from cytoplasmic or extracellular interactions (Hynes, 2002). For example, ligand binding has been shown to induce the opening of the hinge angle between the βA (also called the I-like or βI domain) and hybrid domains in the integrin headpiece (Takagi et al., 2002, 2003; Mould et al., 2003b). Opening of this hinge has been linked to the switch to high binding affinity (Luo et al., 2003, 2004b; Mould et al., 2003b). The x-ray crystallographic structures of the unliganded α_vβ₃ and the liganded α_IIbβ₃ integrins display the integrin headpiece conformations before and after the ligand-induced transition from the closed to the open βA/hybrid domain hinge, respectively (Xiong et al., 2001; Xiao et al., 2004). The α1 and α7 helices of the βA domain are known to be involved in this transition (Mould et al., 2002, 2003b; Yang et al., 2004).

Because of a lack of dynamic, nonequilibrium information, the sequential details by which structural change in the ligand-binding pocket is allosterically coupled to the remote hinge conformation at the βA/hybrid interface have remained unknown, as have the details of force-induced integrin conformational change, which would enable insights into how integrin function is kinetically regulated during cellular mechanosensing. With no techniques currently available to gain these details experimentally, we used MD and steered MD (SMD) to derive high-resolution, dynamic structural models computationally.

Our simulations are based on the liganded crystal structure of the α_vβ₃ integrin, which was obtained by soaking RGD peptide into unliganded integrin crystals that were preformed with bent legs and a closed βA/hybrid hinge (Xiong et al., 2002). Although comparison of this crystal structure with the unliganded α_vβ₃ integrin structure reveals ligand-induced conformational changes local to the binding site (Fig. S1, available at http://www.jcb.org/cgi/content/full/jcb.200602071/DC1), both structures share the same long-range conformation of bent legs and a closed βA/hybrid hinge. Thus, although unequivocally recognized as a milestone in integrin research, the liganded α_vβ₃ integrin crystal structure has sparked much debate; does it represent the final, high-affinity conformation (Calzada et al., 2002; Xiong et al., 2003; Adair et al., 2005), or were the long-range, ligand-induced structural changes that underlie integrin activation arrested by conformational constraints (Takagi et al., 2002; Mould et al., 2003b, 2005; Xiao et al., 2004; Iwasaki et al., 2005)?

RGD ligands bind to the integrin β subunit via a divalent metal ion located at the top of the βA domain, termed the “metal ion–dependent adhesion site” (MIDAS; Xiong et al., 2002). Two additional ion-binding sites border the βA domain MIDAS on either side, which are termed the “ligand-induced metal-binding site” (LIMBS) and the “adjacent to the MIDAS” (ADMIDAS; Xiong et al., 2002). Although all three sites are occupied by ions when the ligand is bound (Xiong et al., 2002; Xiao et al., 2004), only the ADMIDAS is occupied in unliganded α_vβ₃ crystal structures (Xiong et al., 2001, 2002). Moreover, the ADMIDAS of unliganded α_vβ₃ crystal structures directly contacts the β6-α7 loop (Met³³⁵), whereas this contact is lost and the ADMIDAS is shifted inward by ∼4 Å in both liganded β₃ integrin crystal structures (Xiong et al., 2001, 2002; Xiao et al., 2004).

Because integrins in a cellular context bind to extracellular matrix proteins, we replaced the RGD peptide in the liganded α_vβ₃ integrin crystal structure (Xiong et al., 2002) with the RGD-containing 10^th type III fibronectin (FnIII₁₀) module (Leahy et al., 1996) and equilibrated this complex in a box of explicit water molecules and in the absence of the integrin legs. Domains included were the propeller domain from the α subunit and the βA and hybrid domains from the β subunit (Fig. 1, A and B). Based on these simulations, together with equilibrations of the same domains from the unliganded α_vβ₃ integrin crystal structure (Xiong et al., 2001), we propose that the energy barrier to ligand-induced hinge opening in the α_vβ₃ headpiece is lowered by (a) the MIDAS conformation found in liganded crystal structures (Xiong et al., 2002; Xiao et al., 2004), (b) Mg²⁺ in place of Ca²⁺ at the LIMBS and ADMIDAS, or (c) a stabilizing contact outside of the RGD-binding pocket between the top of the α1 helix and FnIII₁₀, which is reported for the first time in this study. Finally, we show how ligand-mediated mechanical force accelerates hinge opening along the same allosteric pathway. Through comparison with current experimental data, we propose a structural model that provides new insight into existing notions of integrin activation.

Results

Docking was performed without any major steric clashes by fitting the RGD loop of FnIII₁₀ (Leahy et al., 1996), which is known to be flexible (Copie et al., 1998), to the conformation of the RGD sequence in the liganded α_vβ₃ crystal structure (Fig. 2 C; Xiong et al., 2002) The solvated FnIII₁₀–α_vβ₃ integrin complex (Fig. 1 B) was investigated in 16 separate simulations of at least 6 ns each, consisting of 7 equilibrations (regular MD) and 9 simulations in which mechanical force was applied to an equilibrated complex (SMD). In the latter case, tensile stress was applied with a spring attached to the C or N terminus of FnIII₁₀ and pulled at a constant velocity. Because Mg²⁺ ions are known to regulate integrin activation (Mould et al., 1995) and are present in the integrin under physiological conditions, all integrin metal ion–binding sites were occupied with Mg²⁺, unless specified otherwise. In all figures, FnIII₁₀ is yellow and the β subunit domains are colored according to the time point of the particular structural snapshot, with gray and black representing the starting conformations of the liganded and unliganded α_vβ₃ crystal structures, respectively.

Figure 2.

Integrin headpiece hinge opening and receptor–ligand contact stability during MD equilibration. (A) After 6 ns of MD, the equilibrated integrin complex (blue, purple, and yellow) is aligned with the starting crystal structure (gray; Xiong et al., 2002) via βA domain β-strands. For clarity, the βA domain is shown in transparent surface representation with the secondary structure of select regions visible in cartoon representation. (B) A close-up of the βA/hybrid domain interface shows the location inside the hinge of the hydrogen bond between Asn³⁰³ and Lys⁴¹⁷. This equilibrated complex, in which the Asn³⁰³–Lys⁴¹⁷ bond broke when the hinge spontaneously increased by ∼20°, is referred to in the text as the “reference complex.” (C, middle) In all of the equilibrated FnIII₁₀–integrin complexes we investigated, independent of structural variations, the RGD loop of FnIII₁₀ (yellow) displayed close alignment with the conformation of the RGD sequence found in the original crystal structure (gray), and the two principle RGD–integrin binding contacts (Asp^RGD-MIDAS ion and Arg^RGD–α-Asp²¹⁸) remained stable. (C, top and bottom). In the same, but separate, views of the equilibrated complex (top) and the liganded crystal structure (bottom), two additional Asp^RGD-βA domain–binding contacts that have been shown by pharmacophore refinement to be vital to the RGD-α_vβ₃ ligand–integrin recognition process (Marinelli et al., 2003) displayed stability. These are hydrogen bonds between Asp^RGD–β-Arg²¹⁶ and Asp^RGD–β-Tyr¹²². Bonds present in the original crystal structure complex are shown in green. Also visible is a hydrogen bond between Fn-Glu⁶² and β-Tyr¹²⁹ (orange) that formed in the equilibrated complex and was found to promote hinge angle opening on the nanosecond time frame.

The βA/hybrid domain hinge opens spontaneously in the isolated FnIII₁₀–α_vβ₃ integrin complex

A hydrogen bond between Asn³⁰³ on the βA domain and Lys⁴¹⁷ on the hybrid domain, located where the closed hinge is most acute (Fig. 2 B), was permanently disrupted after 2.5 ns. Sequence analysis reveals that this Asn is completely conserved across the eight known integrin β subunits, whereas the Lys is conserved in four integrin β subunits (β₃, β₄, β₆, and β₈) and is replaced by the similarly basic Arg in the other four β subunits (β₁, β₂, β₅, and β₇). Once this bond was lost, the βA/hybrid domain hinge angle increased to an average of ∼20° greater than its value in the starting crystal structure for the remainder of the 7-ns equilibration (Fig. 3 C and Videos 1 and 2, available at http://www.jcb.org/cgi/content/full/jcb.200602071/DC1). We shall refer to this FnIII₁₀–α_vβ₃ integrin complex as the “reference” complex, to distinguish it from additional complexes described in the article, in which the effect of various structural perturbations on spontaneous hinge opening was investigated.

Figure 3.

Minor structural changes perturb the α1 helix and deter hinge opening. (A) The starting complex. (B) Hinge angle values traced over time for four separate equilibrations of the integrin complex. (C–F) Snapshots corresponding to each of these four equilibrations are shown with the hinge-angle values indicated. Only in the reference complex (C) did the hinge angle increase by ∼20°. When, instead, the α1 helix was shifted slightly outward as a result of a 2-Å MIDAS shift (D), or was interrupted as a result of Ca²⁺ at the ADMIDAS (E) or instability of the E⁴⁶–W¹²⁹ bond (F), the hinge did not significantly increase in the same 6-ns time window. β-Subunit domains, shown in cartoon representation, are colored by time point. Within the βA domain, the β1-α1 loop, α1, and α7 helix are emphasized by opaque shading. In each snapshot, the α-subunit domain and FnIII₁₀ are shown in transparent surface blue and yellow representations, respectively. (G) Close-up of the βA domain–binding pocket in the reference complex reveals the MIDAS···H₂0···Asp conformation, which is visible by the water molecule (cyan) between the MIDAS ion and Asp¹¹⁹; Mg²⁺ (green) at the LIMBS, MIDAS, and ADMIDAS; and the FnIII₁₀-βA domain–binding contact between E⁴⁶ and W¹²⁹. (H–J) Close-ups from the three additional equilibrations, corresponding to the snapshots in D–F, respectively, indicate the specific structural alterations that made each complex unique, which were the switch to the MIDAS···Asp conformation (H), Ca²⁺ (blue) in place of Mg²⁺ at the LIMBS and ADMIDAS (I), and (J) no E⁴⁶–W¹²⁹ bond. (K–N) MIDAS- and ADMIDAS-coordinating residues are shown for each complex. These residues are identical in every case except in L, where Asp¹¹⁹ joined the MIDAS coordination sphere in the switch to the MIDAS···Asp conformation, and in M, where the second oxygen from Asp¹²⁶ joined the ADMIDAS coordination in the switch from Ca²⁺ to Mg²⁺ at this position.

In all complexes we investigated, ligand–receptor contacts that have been identified as vital to RGD-α_vβ₃ integrin–binding remained stable during equilibration (Fig. 2 C). In addition, a hydrogen bond consistently formed outside of the RGD-binding pocket, at a location between FnIII₁₀ and Trp¹²⁹ at the top of the βA domain α1 helix (residues 128–145). This contact is shown in Fig. 2 C (top and middle) and described in more detail in the section entitled An FnIII10-α1 helix contact promotes spontaneous hinge opening.

The helical structure of the β1−α1 loop is restored

Between the unliganded α_vβ₃ and the liganded α_IIbβ₃ integrin crystal structures, a single turn of the 3₁₀ helix in the βA domain β1−α1 loop (residues 121 to 127) is moved inward en bloc, and a bend between this region and the α1 helix is straightened, such that the β1−α1 loop and α1 helix are joined into one continuous helix (Xiong et al., 2001; Xiao et al., 2004). In both of these structures, the ADMIDAS ion is directly coordinated by Asp¹²⁷, which is located where the β1−α1 loop joins the α1 helix. In contrast, the 3₁₀ helix in the β1−α1 loop is disrupted, and Asp¹²⁷ does not coordinate the ADMIDAS ion in the liganded α_vβ₃ integrin crystal structure (Xiong et al., 2002). We found that when the coordinates of this structure are minimized for 2,000 steps before equilibration with MD, direct contact between Asp¹²⁷ and the ADMIDAS ion formed (six out of six times) and the helical structure of the β1−α1 loop was restored (Fig. 3, A vs. C–F), regardless of a change in the ADMIDAS ion from Mg²⁺ to Ca²⁺ (Fig. 3, K–N). At the beginning of MD equilibrations in Mg²⁺-occupied complexes, the α1 helix joined together with the β1−α1 loop to form one uninterrupted helical structure (Fig. 3, C and D).

The MIDAS conformation found in liganded crystal structures promotes hinge opening

In both available crystal structures that contain the ligand-bound βA domain, the distance between the MIDAS ion and the carboxyl oxygens of Asp¹¹⁹ is ∼4 Å. It was suggested that a water molecule likely bridged this distance in the α_vβ₃ structure and, indeed, in the α_IIbβ₃ structure that was resolved at a higher resolution, a water molecule was found to be present between Asp¹¹⁹ and the MIDAS ion. In two out of three separate equilibrations that we initially performed on the α_vβ₃–FnIII₁₀ complex, ranging from 1 to 8 ns, a water molecule diffused into this location between the MIDAS ion and Asp¹¹⁹ early on and remained there. In subsequent equilibrations, we placed a water molecule there manually. In 17 separate equilibrations (1 ns each; unpublished data), we found that this water molecule either remained between the ion and Asp¹¹⁹ (nine times) or diffused away (eight times).

When the water diffused away, the MIDAS ion shifted ∼2 Å into direct contact with Asp¹¹⁹. Because the two different MIDAS conformations obtained in this study are thus distinguished by their Asp¹¹⁹ contact, we refer hereafter to the original MIDAS conformation resolved in crystal structures and maintained in the reference complex that was previously described as “MIDAS⋅⋅⋅H₂O⋅⋅⋅Asp” (Fig. 3, K, M, and N), and to the shifted MIDAS conformation as “MIDAS⋅⋅⋅Asp” (Fig. 3 L). For a comparison between these two βA domain MIDAS conformations and the two αA domain MIDAS conformations that were previously established (Lee et al., 1995), see Fig. S2 (available at http://www.jcb.org/cgi/content/full/jcb.200602071/DC1).

Aside from differences in Asp¹¹⁹ contact, all ion-coordinating residues are identical between MIDAS⋅⋅⋅H₂O⋅⋅⋅Asp and MIDAS⋅⋅⋅Asp complexes. In other words, all residues other than Asp¹¹⁹ that directly coordinate the MIDAS, LIMBS, or ADMIDAS ions remained the same in the presence of both MIDAS conformations (Fig. 3, K and N vs. L).

Over the first 2.5 ns of every equilibration that we performed, both unliganded and liganded and independent of the 2-Å MIDAS shift or other structural perturbations, the hinge angle between the βA and hybrid domains increased by ∼6°. At this value, the conserved βA/hybrid domain hydrogen bond between Asn³⁰³ and Lys⁴¹⁷ was able to remain formed. When an equilibration containing the MIDAS⋅⋅⋅Asp conformation was extended to 6 ns, the βA/hybrid hinge increase of this FnIII₁₀ integrin complex remained at 6 ± 2°. Thus, we asked how the 2-Å MIDAS shift deters βA/hybrid domain hinge opening. We found that over the first 2.5 ns, the α1 helix of the MIDAS⋅⋅⋅Asp complex moved outward relative to its position in the starting crystal structure (Fig. 4 C). In contrast, during the same timeframe of the reference complex equilibration, before the substantial hinge increase that this complex later displayed, the α1 helix moved inward (Fig. 4, A and B and Video 1).

Figure 4.

Hinge opening follows the inward lever-arm movement of the α1 helix. In all images, gray, green, red, and purple indicate the conformation at 0, 1, 2.5, and 6 ns, respectively. The MIDAS···H₂0···Asp conformation is visible by the water molecule (cyan) located between the MIDAS ion and Asp¹¹⁹. (A) 10 snapshots over the first 2.5 ns of the reference equilibration are aligned with the starting crystal structure (PDB code 1L5G) via the βA domain β-strands. The α1 and α7 helices are shown and colored according to 250-ps intervals. From gray to red, the path of the α1 helix is inward and upward. (B) The inward movement of the α1 helix occurred before a significant jump in the hinge value, as indicated in the trace of the hinge over time and (far right) depicted by alignment with the starting crystal structure of the α1 helix at 2.5 ns (red) and the α7 helix and β/hybrid domain at 6 ns (purple). (C–H) The same pictorial scheme is used to depict the three additional equilibrations in which various structural perturbations (Fig. 3) occurred and hinge opening was hindered. Notably, as evident by the presence of gray inside the α1-helix close-ups shown in C, E, and G, the path of the α1 helix was outward over the first 2.5-ns of these equilibrations. For dynamic, 3D views, see Videos 1–4, available at http://www.jcb.org/cgi/content/full/jcb.200602071/DC1.

At the top of the α1 helix, ADMIDAS ion-coordinating residues Asp¹²⁷ and Asp¹²⁶ are linked along the β1−α1 loop to MIDAS residues Ser¹²³, Ser¹²¹, and Asp¹¹⁹. Thus, when the β1−α1 loop was repositioned in association with the shift to the MIDAS⋅⋅⋅Asp conformation, the α1 helix was repositioned as well (Fig. S3, available at http://www.jcb.org/cgi/content/full/jcb.200602071/DC1). Notably, the α1 helix also contacts the C-terminal α7 helix and the outside of the βA/hybrid hinge through noncovalent interactions at its middle and bottom, respectively. In this fashion, the MIDAS position of the reference complex promotes an inward “lever-arm” motion of the joined β1–α1 loop/α1 helix; the key to how the MIDAS shift deterred hinge opening was by disruption of this lever-arm mechanism. This finding was reproduced in a second 6-ns MIDAS⋅⋅⋅Asp equilibration. For further depiction, see Fig. S3.

Ca²⁺ at the ADMIDAS impedes hinge opening

Ca²⁺ at the ADMIDAS has been shown to inhibit integrin activation (Mould et al., 2002) and mutation of the ADMIDAS Asp residues has been shown to override this effect (Chen et al., 2003). Mutation of the ADMIDAS has also been shown to disrupt the transduction of conformational change between the MIDAS and the βA/hybrid hinge (Mould et al., 2003a). To investigate the impact of Ca²⁺ on the conformation of the integrin headpiece complex, we replaced Mg²⁺ with Ca²⁺ in all ion-binding sites, except for the MIDAS, because occupation of the MIDAS by Mg²⁺ is known to be important for ligand binding (Mould et al., 1995, 2002). Hereafter, we shall refer to this ion arrangement as “Ca²⁺–Mg²⁺–Ca²⁺,” in reference to the occupancies of the LIMBS, MIDAS, and ADMIDAS, respectively. With Ca²⁺ in place of Mg²⁺, the second carboxylate oxygen of the Asp¹²⁶ side chain joined the ADMIDAS coordination sphere (Fig. 3 M). This is consistent with crystallographic data of the Ca²⁺-occupied ADMIDAS, in both liganded and unliganded integrin structures (Xiong et al., 2001, 2002; Xiao et al., 2004).

Although the water in the MIDAS⋅⋅⋅H₂O⋅⋅⋅Asp conformation remained consistently in place (Fig. 3 M) in three out of three separate Ca²⁺–Mg²⁺–Ca²⁺ equilibrations (1 ns each), the βA/hybrid hinge did not increase beyond 6 ± 2° when one of these equilibrations was extended to 8 ns.

In every Ca²⁺–Mg²⁺–Ca²⁺ equilibration we observed (ranging from 1 to 8 ns), a break between the β1−α1 loop and α1-helix structure occurred early on, in the vicinity of Asp¹²⁶ (Fig. 3, E vs. C and D). In the first 2.5 ns, the β1−α1 loop displayed little change from its position in the starting crystal structure, whereas the α1 helix moved outward (Fig. 4 E and Video 3, available at http://www.jcb.org/cgi/content/full/jcb.200602071/DC1). Thus, although the movement of the β1−α1 loop resembled that of the reference complex in which the hinge increased, the movement of the α1 helix resembled that of the MIDAS⋅⋅Asp complex, and just as in that complex, the hinge did not substantially increase (Video 4).

An FnIII₁₀–α1 helix contact promotes hinge opening

In all equilibrations of the integrin complex described thus far, a stable hydrogen bond consistently formed between Glu⁴⁶, which is a conserved acidic residue on the same face of FnIII₁₀ as the RGD sequence, and Trp¹²⁹, which is located at the top of the α1−helix (Fig. 2 C, orange line). In two repeat reference complex equilibrations, this Glu⁴⁶–Trp¹²⁹ bond broke at either 1 or 3 ns, and the hinge increase of ∼20° either did not occur in the 6-ns time window or occurred but was delayed by ∼2 ns relative to the original reference complex, respectively (Fig. S4, available at http://www.jcb.org/cgi/content/full/jcb.200602071/DC1). In a third reference complex repeat equilibration, we deliberately disrupted the Glu⁴⁶–Trp¹²⁹ bond at 1 ns by turning off the charge of the nitrogen in the Trp¹²⁹ side chain. When this computationally “mutated” complex was equilibrated for 5 ns, the α1 helix became distorted (Fig. 3 F) and moved outward (Fig. 4 G), and the hinge angle did not substantially increase (Fig. 4 H). From these studies, we linked the stability of the Glu⁴⁶–Trp¹²⁹ contact with an inward movement of the α1 helix early on in the equilibration and with an ∼20° hinge-angle increase on a 6-ns timeframe. In other words, we found that, like MIDAS–Asp and Ca²⁺–Mg²⁺–Ca²⁺ complexes, the absence of substantial hinge opening in Mg²⁺-occupied complexes was also linked with an outward α1-helix shift (Fig. 3, E and F; and Fig. 4, E and G). Sequence analysis indicates that the Glu⁴⁶–Trp¹²⁹–binding contact is unique to β₃ integrins (Fig. S4).

Traces of the βA/hybrid domain hinge-angle value over time for the aforementioned four distinct integrin complexes are overlaid in Fig. 3 B and shown separately in Fig. 4.

Comparison to the unliganded α_vβ₃ integrin headpiece

To gain a sense of how these structural snapshots fit along the allosteric pathway of ligand-induced integrin activation, we equilibrated the same headpiece domains from the unliganded α_vβ₃ crystal structure occupied with Mg²⁺ (Xiong et al., 2001). The α1 helix of this structure is split in half and this split remained throughout the 6-ns equilibration (Fig. 5 A). Coordination of the ADMIDAS ion by Ser¹²³ was lost early on, and the β1-α1 loop exhibited a substantially wider range of movement relative to the dynamics of this loop in liganded integrin complexes (Fig. 5 B vs. Fig. 4; and Video 5, available at http://www.jcb.org/cgi/content/full/jcb.200602071/DC1), illustrating the stabilizing effect that ligand-binding together with LIMBS and MIDAS occupancy bring to this structural region. Aside from Ser¹²³, the starting ADMIDAS coordination remained unchanged, and the βA/hybrid domain hinge varied by 8 ± 3° relative to its starting value. Like the aforementioned integrin complexes, in which the hinge also did not substantially increase, the conserved Asn³⁰³–Lys⁴¹⁷ hydrogen bond located where the closed hinge is most acute (Fig. 2 B) was still able to form after 6 ns (Video 6).

Figure 5.

  Significant fluctuations of the α1 helix and β1-α1 loop in the unliganded integrin equilibration. (A) Snapshots from the equilibration of the unliganded α_vβ₃ integrin headpiece domains (Xiong et al., 2001) are shown in the same pictorial scheme as Fig. 3 (C–F), for comparison. (B) 10 snapshots over the first 2.5 ns of this equilibration are aligned with the starting crystal structure (PDB code 1JV2) via the βA domain β-strands and colored according to 250-ps intervals, as described in Fig. 4. From black to red, significant outward and downward movement of the β1-α1 loop and α1 helix is evident. (C) The hinge angle is traced over time. The equilibrated complex is aligned with the starting crystal structure. Black, red, and purple indicate time points at 0, 2.5, and 6 ns, respectively. (D) The increased solvent-accessible surface area at the bottom of the α1 helix during equilibration of the unliganded integrin domains (black) is compared with that of the four FnIII₁₀-bound integrin complexes. For dynamic 3D views, see Videos 5 and 6, available at http://www.jcb.org/cgi/content/full/jcb.200602071/DC1.

A comparison across all equilibrations described thus far reveals a higher degree of floppiness at the bottom of the α1 helix in structures in which hinge opening was not observed during the nanosecond time window, as indicated by comparison over time of the average solvent-accessible surface area in this location (residues 139–147; Fig. 5 D). In other words, the bottom of the α1 helix displayed the least fluctuations in the solvent-accessible surface area (indicating structural stability), as well as the least accessibility to water (in agreement with the inward helical shift) in the reference complex in which the hinge opened spontaneously (Fig. 5 D, red line), whereas the same structural region in the unliganded integrin displayed considerable fluctuations (Fig. 5 D, black line).

Mechanical force opens the hinge

To see if the closed hinge could be opened by mechanical force, we applied force between the C-terminal ends of FnIII₁₀ and the β-hybrid domain after 1 ns of equilibration, at which time the hinge angle was only ∼6° greater than its starting value. In a total of seven separate SMD simulations (three of the reference complex, two of the MIDAS⋅⋅⋅Asp complex, and two of the Ca²⁺–Mg²⁺–Ca²⁺ complex), we found that pulling with a constant velocity of 10 Å/ns caused the βA/hybrid domain hinge to increase by ∼70° over 5 ns (Fig. 6, A and B; and Videos 7 and 8, available at http://www.jcb.org/cgi/content/full/jcb.200602071/DC1). At this value, the βA and hybrid domains were aligned along the vector of force and continued strain did not increase the hinge further.

Figure 6.

Mechanical force accelerates hinge opening. (A) Traces of the change in the hinge angle over time from both MD- and SMD-simulations are overlaid. SMD simulations were begun after complexes were equilibrated for 1 ns. (B) Snapshots from the SMD simulation in which the hinge was opened by ∼70° by pulling for 5 ns on the C terminus of FnIII₁₀ at 10 Å/ns. β-Subunit domains are colored according to time point. For dynamic 3D views, see Videos 7 and 8. (C) Corresponding time points from the SMD simulation in which the hinge angle was opened by ∼50° by pulling for 5 ns on the N terminus of FnIII₁₀ at 10 Å/ns. In the last frame of both C and D, the SMD-derived structures, after 6 ns for each pulling vector (shown with β-subunit domains in purple), are aligned with the starting crystal structure (gray) via the βA domain β-strands. Videos 7 and 8 are available at http://www.jcb.org/cgi/content/full/jcb.200602071/DC1.

In two additional SMD simulations, the hinge was increased by ∼50° over 5 ns when force was applied to the N-terminal end of FnIII₁₀ instead (Fig. 6, A and C). In every SMD simulation (nine in total), the hinge increased in the same characteristic fashion, independent of the FnIII₁₀ terminus to which force was applied and whether or not FnIII₁₀ started to unravel under the strain (Fig. S5, available at http://www.jcb.org/cgi/content/full/jcb.200602071/DC1). Also, in every case, the principle force-bearing binding contact between Asp^RGD of FnIII₁₀ and the MIDAS ion was well maintained. When the force was applied between FnIII₁₀ and the C terminus of the α-subunit propeller domain instead, the hinge could not be pulled open (unpublished data).

As a control, we deleted FnIII₁₀ and applied force directly to the MIDAS ion in the reference, MIDAS···Asp, and Ca²⁺–Mg²⁺–Ca²⁺ integrin structures. Each time (three out of three), force applied between the MIDAS and the β-hybrid domain increased the hinge in the same characteristic fashion of ∼70° over 3 ns (unpublished data).

Thus, the key finding of these investigations is that the βA/hybrid hinge opens when force is applied between the MIDAS ion and the hybrid domain.

Force-induced opening of the hinge reverses α1-helix distortion

We have shown that a characteristic feature of spontaneous βA/hybrid hinge opening is the inward shift of the α1 helix (Fig. 4, A and B). This finding is further illustrated in Fig. 7 B by alignment of the reference and MIDAS⋅⋅⋅Asp integrin complexes after 6 ns of equilibration each. Because the hinge angle of the MIDAS⋅⋅⋅Asp complex did not increase beyond 6 ± 2° under equilibration conditions on the nanosecond timescale, we asked if opening the hinge by force would induce the α1 helix of this complex to resemble that of the reference complex in which the hinge angle had increased spontaneously.

Figure 7.

Force-induced opening of the hinge reverses outward α1-helix distortion. (A) Traces of the hinge angle over time show that although the hinge of the MIDAS···Asp complex did not open under equilibration conditions (cyan), mechanical force induced the hinge angle of this complex to open (pink) by the same amount that was found to occur spontaneously in the MIDAS··H₂0···Asp complex under equilibration conditions (dark red). (B) The MD-derived MIDAS···Asp and MIDAS··H₂0···Asp complexes, aligned after 6 ns of equilibration each and shown in cyan and dark red, respectively. The hinge angle difference between these complexes is 21° at this time point. (top) Close-up of the aligned βA domains reveal a difference between the α1-helix conformations. The β1-α1 loop, α7 helix, ions, and Asp¹¹⁹ of each structure are also shown as opaque, for orientation. (C) The SMD-derived MIDAS···Asp complex (pink) and the MD-derived MIDAS··H₂0···Asp complex (dark red) are aligned after 6 ns of simulation time each. The hinge angle of each complex is now 21°. (Top) Close-up of the aligned βA domains reveal a new similarity between the α1-helix conformations.

After 1 ns of equilibration, force was applied to the MIDAS⋅⋅⋅Asp complex by pulling on the FnIII₁₀ C terminus with a constant velocity of 5 Å/ns. After 5 ns of pulling, the hinge of this complex was increased by 21°, which is the same hinge value that the reference complex displayed at 6 ns without force (Fig. 7 A). Comparison of the α1 helices of these two structures at this time point reveals a striking similarity (Fig. 7 C). Thus, we found that force-induced opening of the βA/hybrid hinge reverses the elastic distortion in the α1 helix that occurred when the hinge remained closed.

Discussion

Integrin activation is known to have a structural origin (Takagi and Springer, 2002; Luo et al., 2005), yet the key sequential details of activating conformational change have been controversial. For example, experiments have shown that ligand binding to the integrin head induces the opening of the hinge between the βA and hybrid headpiece domains (Takagi et al., 2002, 2003; Mould et al., 2003c; Xiao et al., 2004; Iwasaki et al., 2005), but this hinge is closed in the liganded α_vβ₃ crystal structure (Xiong et al., 2002). We replaced the peptide ligand of this structure with FnIII₁₀ and revealed in MD simulations of the isolated integrin headpiece complex how ligand- induced structural change propagates across the βA domain via the α1 helix, to then be amplified by an increase in the remote βA/hybrid hinge. In separate equilibrations of the same complex, three different structural perturbations at the top of the βA domain induced small, elastic distortions in the α1 helix, and the hinge did not increase substantially in the nanosecond time window. The structural variations that we found to impede hinge opening on the nanosecond timescale are a 2-Å MIDAS shift, Ca²⁺ in place of Mg²⁺ at the LIMBS and ADMIDAS, and disruption of an FnIII₁₀–α1 helix–binding contact. In equilibration of the unliganded integrin headpiece domains (Xiong et al., 2001), maximum fluctuations of the β1−α1 loop and α1 helix were found to occur. Together, these investigations enabled us to deduce the allosteric pathway whereby a small inward (vs. outward) movement of the α1 helix promotes (or impedes) βA/hybrid domain hinge opening. In addition to predicting a role for a new FnIII₁₀–β₃ integrin contact located outside of the RGD-binding pocket, these findings offer a structural basis for mAb experimental data that also link an outward α1-helix position with Ca²⁺ in place of Mg²⁺ at the ADMIDAS and an inward α1-helix position with hinge opening and integrin activation (Mould et al., 2002, 2003b).

The crystal structures of the unliganded α_vβ₃- and the liganded α_IIbβ₃ integrins provide stationary endpoints before and after the transition of the integrin headpiece to the open conformation of the βA/hybrid hinge, respectively (Xiong et al., 2001; Xiao et al., 2004). Together with experiments that have linked integrin activation with βA/hybrid hinge opening (Mould et al., 2003b; Luo et al., 2004b; Iwasaki et al., 2005), we propose that the unliganded α_vβ₃ structure represents a low-affinity state of the integrin headpiece (which we shall call “state 1”), and the liganded-α_IIbβ₃ structure represents a high-affinity state of the integrin headpiece (hereafter referred to as “state 2”). In this framework, the MD-derived conformations presented in this study are snapshots along the ligand-induced transition from state 1 to state 2 (Fig. 8).

Figure 8.

Transitional snapshots along the hinge-opening pathway. (A) The unliganded α_vβ₃-, liganded α_vβ₃-, and liganded α_IIbβ₃ integrin crystal structures are shown in black, gray, and orange, respectively (Xiong et al., 2001, 2002; Xiao et al., 2004). A representative MD-derived snapshot, in which a structural perturbation hindered hinge angle opening, is indicated in blue. The MD-derived snapshot in which the hinge angle increased spontaneously is indicated in dark red. The SMD-derived snapshot in which the hinge angle was increased by mechanical force is shown in pink. (B). Close-ups of βA domain α1 helices for each structural snapshot are shown overlaid with the α1 helix of the unliganded α_vβ₃ integrin crystal structure (which is proposed to represent state 1). MIDAS and ADMIDAS ions are visible in each close-up.

Quite unusual for domain–domain contacts, βA connects to the hybrid domain via two peptide linkers, at both the C and N terminus. In this fashion, floppiness of the βA/hybrid hinge itself is greatly restricted. A key finding of this study is the allosteric link between floppiness and distortion in the βA domain α1 helix and the opening of the βA/hybrid hinge. Although we found that Ca²⁺ in place of Mg²⁺ at the LIMBS and ADMIDAS resulted in the outward shift of the α1 helix and no substantial hinge-angle increase on the nanosecond timeframe, experiments have shown that ligand-induced opening of the hinge does ultimately result in Ca²⁺ in the LIMBS and ADMIDAS (Xiao et al., 2004). Importantly, although experimental results were obtained under equilibrium conditions in which the strain built-up by ligand binding had sufficient time to be released by the opening of the βA/hybrid hinge, the nonequilibrium snapshots described in this study probe structural dynamics on the nanosecond timescale and, thus, reveal how the ligand-induced strain either propagates to the βA/hybrid interface and is released by hinge-angle opening or, as a result of conformational variations near the binding site, produces elastic α1-helix distortions. Notably, the liganded α_IIbβ₃ integrin crystal structure, which presents the open-hinge conformation with Ca²⁺ at the LIMBS and ADMIDAS, also displays the inward-shifted α1 helix joined together with the β1−α1 loop, which is not found in integrin crystal structures with closed βA/hybrid hinges (Xiong et al., 2001, 2002). Also unique to the α_IIbβ₃ crystal structure is a molecule of glycerol bound directly to the ADMIDAS ion at the top of the α1 helix (Xiao et al., 2004), which may lend additional stability to this key regulatory region.

These findings address a long-standing debate regarding a feature of the liganded α_vβ₃−integrin crystal structure that surprised the integrin community; a severe bend in the legs (Fig. 1 A). Because the structure is liganded, it has been considered to be in the active conformation (Xiong et al., 2002, 2003). However, because the structure was obtained by soaking RGD peptides into unliganded integrin crystals that were preformed with bent legs and closed hinges (Xiong et al., 2002), it has been suggested that the conformation of this structure is the result of constraint imposed by the preexisting crystal lattice (Liddington, 2002; Takagi et al., 2002; Mould et al., 2003b). In support of the latter notion, the legless, liganded α_IIbβ₃ crystal structure, which presents the same MIDAS⋅⋅⋅H₂O⋅⋅⋅Asp conformation as the liganded α_vβ₃−integrin crystal structure, but was formed by cocrystallization with a ligand, displays the open hinge (Xiao et al., 2004). We have shown that once the conformational constraints of the leg domains are lifted, the α1 helix joins together with the β1−α1 loop and moves inward, and the hinge opens spontaneously on the 6-ns timeframe when the liganded α_vβ₃ integrin crystal structure is occupied with Mg²⁺ and equilibrated in complex with FnIII₁₀. Thus, the liganded α_vβ₃ crystal structure may depict a nonequilibrium headpiece conformation that was constrained along the transition from state 1 to state 2 at a point after RGD peptide–binding had induced a change in the ADMIDAS and β1−α1 loop and before the strain built-up by this structural perturbation could be relieved by the opening of the βA/hybrid hinge (Fig. S1).

Although the bend in the integrin legs is known to be physiologically relevant (Takagi et al., 2002; Adair et al., 2005), the function of the bend during activation is debated. Currently, two models are widespread; in the “deadbolt” model, activation results from the loss of a constraining contact between the β-tail and βA domains (Xiong et al., 2003), whereas in the “switchblade” model, activation results from extension and separation of the legs and the opening of the βA/hybrid hinge (Takagi and Springer, 2002). Because the legs remain bent in the former and become extended in the latter, these models are often presented as incongruent. However, in both paradigms, the conformation with the bent legs and the closed headpiece hinge angle is low affinity (state 1), and activation necessitates disruption of headpiece–tailpiece contacts. Mutational and mAb experiments have shown that the low-affinity state is stabilized by a close association between the α and β cytoplasmic tails (Hughes et al., 1995; Kim et al., 2003), α and β transmembrane helical packing (Luo et al., 2004a, 2005; Partridge et al., 2005), and a close association in multiple points along the α and β legs (Beglova et al., 2002; Xie et al., 2004; Clark et al., 2005; Mould et al., 2005). According to the switchblade model, α- and β-subunit contacts stabilize the low-affinity state by constraining the integrin legs in the bent conformation. Recently, electron microscopy studies of the intact, Fn-bound α_vβ₃ integrin ectodomain were found to display the bent-leg conformation together with a βA/hybrid hinge angle increase of ∼11 ± 4°, relative to the α_vβ₃ crystal structures (Adair et al., 2005). We have linked an inward shift of the α1 helix with a hinge increase of ∼20° (Fig. 7), indicating that hinge opening by this amount might already be sufficient to induce affinity-regulating conformational change. Aside from the findings by Adair et al. (2005), studies correlating movement in the headpiece hinge with changes in affinity have been done on integrin ectodomains with modified, truncated, or entirely absent legs (Takagi et al., 2002, 2003; Mould et al., 2003c; Xiao et al., 2004). In consideration of these experimental findings, together with our computational snapshots, we propose that the major physiological role of the of the bent-leg conformation is to tune, via domain–domain contacts, the height of the energy barrier that has to be overcome for the βA/hybrid hinge to increase and thereby transition the integrin head to the high-affinity state.

Integrin activation is bidirectional and can originate from either the cytoplasmic or the extracellular end of the molecule (Hynes, 2002). The transition of integrins from the low- (state 1) to the high-affinity state (state 2) before ligand binding has been referred to as “priming” (Humphries et al., 2003). When induced from inside the cell, the structural mechanisms underlying priming have been shown to be generated by conformational change in the cytoplasmic tails, transmembrane helices, and leg domains (Takagi et al., 2002; Kim et al., 2003; Partridge et al., 2005). However, conformational changes in these structural regions distal to the ligand-binding site are not required when integrin priming is induced extracellularly (Luo et al., 2004a). In other words, extracellular factors that prime integrins, such as Mn²⁺ ions, conformation-dependent mAbs that map to the integrin headpiece (Mould et al., 2002, 2003b; Clark et al., 2005), and mutations that induce the shortening of the α7 helix (Yang et al., 2004) or the opening of the headpiece hinge (Luo et al., 2003) do so by inducing the high-affinity conformation directly. As expected for an allosterically regulated protein, we thus propose that any mechanism which causes the headpiece hinge angle to open can thereby transition the RGD-binding pocket from state 1 to state 2, even in the absence of bound ligand. Hinge opening and the ensuing inward movement of the α1 helix would then constitute the final step in integrin priming.

Finally, we asked how mechanical force might impact the transition between state 1 and state 2, and we found in SMD simulations that force greatly accelerated hinge opening. The force-accelerated transition to the open hinge conformation was accompanied by the same inward movement of the α1 helix that we found to be characteristic of hinge opening under equilibrium conditions (Fig. 7). This finding implies that force accelerates hinge opening along the same allosteric pathway. Moreover, we have now shown that a 2-Å MIDAS shift or Ca²⁺ in place of Mg²⁺ at the ADMIDAS can prevent spontaneous hinge opening, but does not inhibit force-induced hinge opening on the same nanosecond timescale. This finding implies that these structural perturbations raise the energy barrier and that force acting along the β-subunit domains lowers the energy barrier to transition the ligand-bound integrin headpiece from state 1 to state 2. Considering the high sensitivity to minor structural perturbations that these findings reveal, the way in which point mutations to this region enhance (Chen et al., 2003) or disrupt (Mould et al., 2003a) the allosteric activation pathway remains enigmatic.

Because ample experimental data, together with the MD simulations presented in this work, demonstrate that ligand binding can induce the transition from the closed to the open hinge conformation, what would be the advantage of accelerating this transition with force? Kinetic measurements have shown that the ligand-induced conversion of α_IIbβ₃ integrin extracellular domains to the high-affinity conformation occurs on a timescale of ∼10 s (Müller et al., 1993; Bednar et al., 1997). Yet turnover rates at the timescale of seconds have been reported for constituents in newly formed adhesion sites, and a recent study shows that cells lose their ability to sense the rigidity of their surrounding Fn matrix when the binding of α_vβ₃ integrins to Fn is blocked (Jiang et al., 2006). Thus, considering the shortness of the time window during which cells have to form adhesions that can sustain cell-generated tension, and assuming that integrins are in state 1 (i.e., not primed) when they first bind to matrix-exposed ligands, mechanical force could then play a physiologically important role in up-regulating the kinetics by which ligand-bound integrins transition from the low- to the high-affinity state. Do integrins then form catch bonds with their RGD ligands, bonds that are switched from a short-lived, low-affinity state to a long-lived, high-affinity state under mechanical force? A preliminary comparison between the α_vβ₃ integrin complex investigated in this study and the catch bond characteristics of the bacterial adhesin FimH when bound to mannose reveals striking similarities (Tchesnokova et al., 2006) that will be considered in detail elsewhere (unpublished data).

Materials and methods

System setup

The crystal structures of the α_vβ₃ integrin in complex with an RGD-containing mimetic ligand (Protein Data Bank [PDB] code 1L5G; 3.2 Å resolution [Xiong et al., 2002]) and of FNIII₁₀ from the FNIII_7-10 tetramer (PDB code 1FNF; 2.0 Å resolution [Leahy et al., 1996]) were adopted to build the FNIII₁₀–α_vβ₃ starting structure with the program VMD (Humphrey et al., 1996). First, the RGD tripeptides of the two separate structures were aligned, and then the mimetic ligand from the α_vβ₃ structure was removed. The resulting protein–protein complex contained slight overlap between the C and D strands of FnIII₁₀ and the β6-α7 loop of the I-like domain in the integrin β₃ subunit. The steric conflict was readily resolved by fixing the RGD tripeptide and rotating the remainder of the FnIII₁₀ module around the Cγ atom of the Arg^RGD, away from the integrin. The rotation caused an ∼10° decrease in the angle formed by the Cα carbons at the N-terminal end, the Asp^RGD, and the C-terminal end. The two backbone bonds that connect the RGD sequence to the rest of the FnIII₁₀ module were lengthened after the rotation, but a short minimization of 600 steps restored these bonds to their normal length. The key RGD–integrin–binding contacts, the bond between the Asp^RGD and the MIDAS cation and the bidentate salt bridge between the Arg^RGD and α_v-Asp²¹⁸, were well maintained. However, the salt bridge observed in the crystal structure between the ligand and α_v Asp¹⁵⁰ was broken when the peptide was replaced by the FnIII₁₀ module. To reduce the integrin to a size that can be feasibly simulated, we used only the βA and hybrid domains of the β₃ integrin subunit, the β-propeller domain of the α_v integrin subunit. The starting structure was solvated in a 116 × 115 × 122 Å TIP3 (Jorgensen et al., 1983) water box, resulting in 153,570 atoms. The water molecule manually added to the MIDAS conformation, between Asp¹¹⁹ and the MIDAS cation, was placed according to the location of the water molecule in the α_IIbβ₃ integrin crystal structure (Xiao et al., 2004). Seven cations resolved in the headpiece, three resolved in the MIDAS-, LIMBS-, and ADMIDAS- binding pocket motifs, and four resolved in the solvent-exposed β hairpin loops at the bottom of the α-propeller, were occupied by Mn²⁺ in the original α_vβ₃ structure and by Mg²⁺ in these simulations. For comparison, a solvated complex was also built, in which Mg²⁺ occupied the MIDAS and Ca²⁺ occupied the other six ion binding sites. This complex is called Ca²⁺–Mg²⁺–Ca²⁺ in the text, in reference to the occupancies of the LIMBS, MIDAS, and ADMIDAS, respectively.

Simulation procedure and parameters

All MD simulations were performed with the program NAMD (Phillips et al., 2005) using the CHARMM27 force fields (MacKerell et al., 1998). The system was first minimized for three consecutive 2,000-conjugate gradient steps, during which the protein was initially held fixed and water molecules were allowed to move; next, only the protein backbone was held fixed, and finally, all atoms were allowed to move. After the minimizations, the system was heated from 0 to 300 K in 10 ps and subsequently equilibrated under constant pressure and temperature conditions (NPT). The bidentate salt bridge between Arg^RGD and Asp²¹⁸ of the integrin α_v domain was held with harmonic constraints until 10 ps into the equilibration and remained stable in all equilibrated structures (Fig. 2 C). A more detailed explanation of the simulation protocol is described elsewhere (Craig et al., 2004). During equilibrations the complex remained stable, exhibiting an overall Cα RMSD in the head domains (the β-propeller from the α_v subunit and βA domain from the β₃ subunit) of <2.0 Å.

To open the closed hinge under force external forces were applied by SMD protocols at a constant pulling velocity of 5 and 10 Å/ns (Isralewitz et al., 2001). The spring constant was set to 6 kcal/mol/Ų. To examine the mechanical response of the complex in various pulling geometries, we fixed either one or both of the Cα atoms of at the C-terminal residues of the integrin headpiece (α_v-Arg⁴³⁸ and/or β₃-Asp⁴³⁴) and attached the spring to a Cα atom at either terminal residue of FnIII₁₀ (Val¹ or Thr⁹³). Generally, the direction of stretching force was chosen along the vector pointing from the fixed atom to the pulling atom. In the special case when both C-terminal ends of the α and β subunit were fixed, the direction of force was pointed from the midpoint of the two fixed atoms to the pulling atom.

Simulations presented in this work lasted 107 ns altogether. Simulations were completed at the National Center for Supercomputing Applications at the University of Illinois and on the Gonzales cluster at the Swiss Federal Institute of Technology. 1-ns simulation required ∼12 h on 128 nodes (IBM )with 1.5-GHz processors (Itanium; Intel), or 24 h on 64 Dlco nodes with 2.4-GHz processors (Opteron; AMD), respectively. All structure alignments were done in VMD (Humphrey et al., 1996) via the backbone atoms of the 6 βA domain β-strands (unless otherwise noted). Hinge angles were measured using Hingefind (Wriggers and Schulten, 1997). Figures were rendered using VMD.

Online supplemental material

Fig. S1 shows the headpiece domains of the liganded α_vβ₃ integrin structure (1L5G.pdb) aligned with those of the unliganded α_vβ₃ integrin structure via the backbone atoms of the 6 βA domain β-strands. Fig. S2 compares the two previously established conformations of the αA domain MIDAS with the two βA domain MIDAS conformations presented in this study. Fig. S3 depicts the “lever-arm” scenario, in which a 2-Å MIDAS shift causes a characteristic repositioning of the ADMIDAS, β1-α1 loop, and α1 helix that we found to impede hinge angle opening. Fig. S4 considers the FnIII₁₀-βA domain contact between Glu⁴⁶ and Tyr¹²⁹, together with additional data and sequence analysis. Within the additional data is a repeat equilibration in which Mg²⁺ occupied all binding sites, the MIDAS⋅⋅⋅H₂O⋅⋅⋅Asp conformation was maintained, and the hinge angle again spontaneously increased by ∼20°. Fig. S5 describes FnIII₁₀ domain deformation under force. Videos 1, 3, and 5 show trajectories from the equilibrations of the reference complex, the Ca²⁺–Mg²⁺–Ca²⁺ complex, and the unliganded integrin, respectively. In each case, the MD complex is overlaid with the starting crystal structure. Videos 2, 4, and 6 are 180° rotations around the y axis of the final frames from Videos 1, 3, and 5, respectively. Videos 7 and 8 are the trajectory and the 180° rotation, respectively, of the SMD simulation in which the hinge was opened 70° under force. Online supplemental material is available at http://www.jcb.org/cgi/content/full/jcb.200602071/DC1.