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,
* Laboratory of Computational Chemistry and Biochemistry, Federal Institute of Technology (EPFL) CH-1015 Lausanne, Switzerland;
SISSA, International School for Advanced Studies, via Beirut 2-4, 34013 Trieste, Italy; and
INFM DEMOCRITOS Center for Numerical Simulation, Italy
Correspondence: Address reprint requests to U. Rothlisberger, Laboratory of Computational Chemistry and Biochemistry, Federal Institute of Technology (EPFL) CH-1015 Lausanne, Switzerland. Tel.: +41-21-693 0321; Fax: +41-21-693 0320; E-mail: ursula.roethlisberger{at}epfl.ch.
| ABSTRACT |
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| INTRODUCTION |
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Fourteen different caspases have been characterized so far (Talanian et al., 2000
). Although the activity and specificity patterns of these enzymes are clearly distinct (Ventimiglia et al., 2001
), their overall reaction mechanism is expected to be similar (Wilson et al., 1994
). All of these enzymes recognize specific four-residue sequences and cleave peptide bonds located strictly after an Asp group. In addition, the three-dimensional (3D) structures of caspases determined so far (caspase-1 (Rano et al., 1997
; Okamoto et al., 1999
; Wei et al., 2000
; Huang et al., 2001
); caspase-3 (Rotonda et al., 1996
; Mittl et al., 1997
; Lee et al., 2000
; Riedl et al., 2001
); caspase-7 (Wei et al., 2000
; Huang et al., 2001
); and caspase-8 (Watt et al., 1999
; Blanchard et al., 1999
; Xu et al., 2001
)) are highly homologous and structurally alike (Walker et al., 1994
). They all form homodimers of heterodimers, in which each monomer consists of a small and a large subunit that form a central core of six ß-sheets surrounded by five
-helices (Fig. 1). Finally, the conformational properties of the two catalytically relevant residues (a Cys and a His residue (Fersht, 1997
)) are highly similar.
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In this paper, we present one of the first attempts to use molecular simulations to gain insights on structure/function relationships in an exemplary member of the caspase family, the downstream caspase-3. Caspase-3 acts as one of the central death executioners and as such is involved in virtually every model of apoptosis (Porter and Janicke, 1999
). It is also implicated in a large number of human diseases for which either excessive (such as in the case of ischemic damage and neurodegenerative disorders) or insufficient (e.g., for cancer and autoimmune diseases) apoptosis occurs (Talanian et al., 2000
). The enzyme exhibits a large substrate diversity, as it cleaves a variety of proteins involved in cell maintenance and/or repair, among them poly(ADP-ribose) polymerase, p21-activated kinase 2, gelsolin, and DNA-dependent protein kinase (Cohen, 1997
; Liu et al., 1997
; Enari et al., 1998
). It is one of the biochemically (Stennicke and Salvesen, 1997
) and structurally best-characterized isoenzymes.
In this work, we have used molecular dynamics (MD) simulations and electrostatic calculations to investigate dynamics and energetics of the enzyme in complex with its DEVDG substrate. The simulations, which are based on the x-ray structure of the human isoenzyme complexed with the aldehyde tetrapeptide Ac-DEVD-CHO (Ac = acetyl group) (Rotonda et al., 1996
), are performed for the dimeric form, which is present at physiological concentrations (Talanian et al., 1996
). The investigation of the dimer properties are complemented by reference calculations on the isolated monomer, which are meant to provide information on the relevance of dimerization for caspase-3 stability and function.
Our calculations suggest that the large-scale main global motions on the nanosecond timescale involve a correlated motion of the two active sites. Furthermore, they help elucidate active site differences between caspases and other cysteine proteases of the papain family, such as papain itself (Drenth et al., 1968
; Kamphuis et al., 1984
), cathepsins B (Musil et al., 1991
; Jia et al., 1995
; Turk et al., 1995
; Yamamoto et al., 2000
), L (Coulombe et al., 1996
; Guncar et al., 1999
), K (Zhao et al., 1997
; Yamashita et al., 1997
; Thompson et al., 1997
), H (Guncar et al., 1998
), and S (Fengler and Brandt, 1998
); Trypanosoma cruzi enzyme cruzain (Gillmor et al., 1997
; Brinen et al., 2000
); and bleomycin hydrolase and deubiquitinating enzyme (Johnston et al., 1997
; Johnston et al., 1999
). As pointed out previously (Sulpizi et al., 2003
), the catalytically active His residue (His-237) adopts a different conformation than that found in other cysteine proteases. Specifically, the torsional parameters
1 and
2 of His-237 (Rano et al., 1997
; Okamoto et al., 1999
; Wei et al., 2000
; Huang et al., 2001
; Rotonda et al., 1996
; Mittl et al., 1997
; Lee et al., 2000
; Riedl et al., 2001
; Wei et al., 2000
; Huang et al., 2001
; Watt et al., 1999
; Blanchard et al., 1999
; Xu et al., 2001
)) lie in a different region of the Ramachandran plot than those of the catalytic histidine in other crystallized cysteine proteases such as papain (Drenth et al., 1968
; Kamphuis et al., 1984
) and cathepsin B (Musil et al., 1991
; Jia et al., 1995
; Turk et al., 1995
; Yamamoto et al., 2000
), L (Coulombe et al., 1996
; Guncar et al., 1999
), K (Zhao et al., 1997
; Yamashita et al., 1997
; Thompson et al., 1997
), H (Guncar et al., 1998
), and S (Fengler and Brandt, 1998
) (Fig. 2 a). It is therefore of interest to monitor the dynamical evolution of the
1 and
2 angles during the MD simulation.
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| METHODS |
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Both the monomeric and homodimeric forms are considered. Hydrogen atoms, invisible to the x-ray diffraction experiment, are added assuming standard bond lengths and angles. In the active sites, the catalytic residues Cys-285 and His-237 are assumed to be in the neutral state. This is consistent with the presently accepted mechanism, which postulates that the catalytic Cys is deprotonated during its nucleophilic attack of the substrate (Nicholson et al., 1995
). Consistently, test MD calculations on the dimeric form in which Cys-285 and His-237 are assumed negatively and positively charged, respectively, show that the system is unstable. In particular, the active site undergoes large structural rearrangements within already the first 0.5 ns indicated by an increasing distance of the substrate from the active site.
The dimer and the monomer are immersed in a box of edges 86.6 x 73.3 x 76.4 Å3 and 85.0 x 72.0 x 60.0 Å3, containing 12,858 and 11,091 water molecules, respectively. (The density of the solvent in our system is 1g/cm3.) Their overall negative charge is neutralized by adding six sodium ions, respectively, located close to residues Glu-191, Glu-213, Asp-313 in each subunit. As these residues are located far from the active site, their electrostatic field effect on the reactants is expected to be very small.
MD simulations
Classical MD simulations are performed for both monomer and dimer with the program packages GROMOS96 (van Gunsteren et al., 1996
) augmented with a P3M treatment of the long-range electrostatic interactions (Hunenberger, 2000
), and GROMACS (Lindahl et al., 2001
). The mesh used for the P3M calculation is 64 x 64 x 64. A leap-frog integration algorithm with a time step of 1.5 fs is used throughout with all bond lengths kept fixed applying a SHAKE algorithm (Ryckaert et al., 1977
). Constant temperature-constant volume simulations are performed by coupling the system to a Berendsen thermostat (Berendsen et al., 1984
) with a relaxation time of 0.1 ps. After 0.1 ns of solvent equilibration, keeping the coordinates of the heavy atoms fixed, the whole system is gently heated to 300 K and equilibrated for 0.5 ns. Finally, data is collected during 4.5 ns for subsequent analysis.
Calculated properties
Root mean square (RMS) fluctuations of the C
atoms and the radius of gyration of the protein are used as stability measures of the protein structure. An essential dynamics analysis of the protein motions was performed following the procedures of Amadei et al. (1993)
, de Groot et al. (1996)
, and Garcia and Hummer (1999)
. The large-scale movements (i.e., those in the essential subspace) are represented by the eigenvectors of the correlation matrix
(x-
x
)(x-
x
)T
, where x represents the position vectors of the C
atoms. It is possible to limit the analysis to the first few eigenvectors because they take into account the major part of the protein motion (the first 10 eigenvalues correspond to
50% of the global motion as already reported for numerous other cases (Amadei et al., 1993
). Each structure along the trajectory is fitted to the starting configuration, eliminating global translational and rotational degrees of freedom. The fitting is performed using only the C
atoms belonging to the secondary structure elements of the protein, namely the ß-sheet core and the
-helical bundle, which surrounds it (Fig. 1). The highly flexible regions belonging to the chain termini and the loops embracing the substrates are not taken into account.
Calculations of the electric field of the protein/water system on substrate Asp-4' and water exposed Asp-183 carboxyl carbons as a function of simulated time are performed using a simple Coulomb formula with a dielectric constant of 1 and GROMOS96 atomic point charges (van Gunsteren et al., 1996
).
The electrostatic free energy of binding
E at the monomer-monomer interface for the dimer is estimated by solving the Poisson-Boltzmann equation(Leach, 1996
) for the crystal structure (Rotonda et al., 1996
).
E is defined as Edimer - Emonomer A - Emonomer B, where Edimer is the electrostatic free energy of the dimer and Emonomer A and Emonomer B are the single monomer electrostatic free energies. Calculations were carried out on a grid of 201 points, with a temperature of 298 K and an ionic strength of 0.15 mM, using the program DELPHI (Gilson and Honig, 1988
). The dielectric constants of the protein and water were set to 2 and 80, respectively. The focusing technique by Gilson and Honig (1988)
was applied.
| RESULTS |
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atoms of the dimeric form are small and converge to an average value of 1.5 Å after 0.5 ns, suggesting that the system is relatively stable over the explored timescale of 5 ns (Fig. 2 c, blue line). Interestingly, monomer A exhibits a slightly larger displacement in the first part (Fig. 2 c, magenta line), and monomer B in the second part of the simulation (Fig. 2 c, yellow line) suggesting some compensatory effects among the displacements of the two monomer units. However, this asymmetry does not persist in the subsequent 1.5 ns. The gyration radius of the protein remains essentially constant, with a minimal shrinkage of 1.5% with respect to the x-ray data of the inhibitor complex (Fig. 2 d). The isolated monomer, on the other hand, exhibits a higher value for the RMS fluctuations (around 2.0 Å) with an increasing trend (Fig. 2 c, cyan line), which originates mostly from a higher flexibility of the N- and C-termini (rmsd over the last 3 ns: 3.8 Å). These domains are located at the monomer-monomer interface in the dimer. In contrast, the main secondary structure elements are well preserved (rmsd over the last 3 ns: 1.0 Å). Major differences between the single unit in the monomer and dimer caspase-3 involve the regions of the termini and Loop 1 (Fig. 3, left).
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1 and
2 torsion angles of His-237 fluctuate largely (Fig. 2 b), sampling two regions, one in which the conformation of this residue resembles that of the crystal structure and the other in which
1 is increased by 120° and
2 by 240°, respectively, which resembles the one of other cysteine proteases.
The average distance between the catalytically essential Cys-285 and His-237 residues in both monomers (
dSN
) remains almost constant over the simulation time and exhibits only small fluctuations of 6%. Due to the presence of the substrate located in between these two residues,
dSN
is slightly higher (6.8 Å) than the corresponding crystallographic value in the inhibitor complex (5.6 Å) (Table 1). The reactants are tightly fixed to the active site pocket as indicated by the short average distance between the sulfur atom of Cys-285 and the carbonylic carbon of Asp-4' of the substrate
dSC
(Table 1). Essentially
dSC
is identical in both monomers and during 5% of the total time samples values of less than 3.1 Å. The occurrence of such short distances suggests that bond distance fluctuations promoting the reaction of the catalytic cysteine with the substrate can take place rather easily. In addition, the occurrence of such critical events is also favored by the rather strict preservation of the orientation of Cys-285 with respect to the Asp-4 carbonyl group (
SCO
=110° ± 10 in both monomers) (Table 1). This suggests a distinct preorganization effect of the Michaelis complex.
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1,
2 conformational space is populated (Fig. 2 b) with respect to that of the dimer, possibly connected to the different mobility of the active site loops (Fig. 2 b). However, as the conformational transitions occur very rarely (one or two times during the 5-ns simulation), this difference might be merely an artifact of the limited simulation time.
Correlated motions
An analysis of the essential dynamics of the protein (Amadei et al., 1993
) enables a classification of the large-scale movements of the enzyme and allows investigating possible correlations of the two monomer units.
In the dimer, the lowest eigenvector of the correlation matrix corresponds to a global bending of the structure, which mainly involves the flexible regions (Fig. 4 a). The second largest eigenvector essentially corresponds to motions of the active site loops. In both monomers, the larger displacements are consistently found for loops 1 and 4 (according to the numbering in Fig. 1) (see Fig. 4 b). These loops embrace the substrate providing binding and selectivity. The substrate appears to be strongly tethered to the active site pocket, with the loops slightly closing in on the active site. This effect can be quantified by calculating the mean distance of the C
atoms of the substrate from those C
atoms of the active site region, which are in direct H-bonding contact with the substrate itself (Fig. 5 a). The average distance is almost constant, slightly lower than the one observed in the x-ray structure of the inhibitor complex, indicating that the loops tend to embrace the substrate in a somewhat tighter manner.
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The third largest eigenvector corresponds to a global motion of the protein, describable as a sort of butterfly movement of the two monomers with the monomer interface as a hinge. A qualitative picture of the movement is shown in Fig. 4 c. The motion is completely symmetric in the two monomers indicating a mechanical coupling of the two units via the dimer interface. The fourth eigenvector correspond to an additional intermonomer movement, in form of a relative rotation (in opposite direction for the two monomers) around the axis of the ß-sheet core (Fig. 4 d). In analogy to the other motions, also this twisting mode is equally present for both monomers.
Information about correlated motions is also obtained by an inspection of the covariance matrix of the displacements of the C
atoms (Fig. 6 a). The covariance matrix contains contributions coming from both intermonomer and intramonomer correlated motions. In particular, it can be divided into four blocks corresponding respectively to internal motions of subunit A (A,A), internal motions of subunit B (B,B), and coupled motion between subunit A and B ((A,B) and (B,A)) (see Fig. 6 a). Coupling among the two subunits can be quantified as the weight of the two symmetric (A,B) and (B,A) blocks over the global matrix. In particular, it turns out that the (A,B) and (B,A) blocks each account for 20% of the global covariance matrix. The global weight of matrices (A,B) and (B,A) has been calculated as
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In the monomer, the first eigenvalue involves a rearrangement of the N-terminus of the p12 subunit (See Fig. 4 a'), which tends to bend toward the region of the monomer-monomer interface. This motion also involves the nearby loop connecting the last helix and the last ß-sheet of the p17 subunit.
The second essential motion involves a rearrangement of the p17 C-terminus and the nearby loop 4 (see Fig. 4 b') as well as contributions from loop 1. The third motion involves the region opposite to the enzyme active site: it is mainly involving the p12 C-terminus and a nearby loop (Fig. 4 c').
The comparison between the essential eigenvectors of the monomer unit in the isolated monomer and in the dimer, reveals that the large amplitude motion of the active site loops is different in the monomer and dimer form. Indeed, in the second largest eigenvector, which involves motion of the active side loops in both cases, the scalar product of the eigenvector components (Fig. 3, right) provide positive correlation (
0.5) for loop 1 and negative correlation (-0.5) for loop 4 indicating that whereas the displacements involve similar protein regions, they have opposite directions.
Monomer-monomer interactions in the dimer
The monomer-monomer interface features mostly contacts between hydrophobic residues. However, an electrostatic analysis based on the Poisson-Boltzmann equation shows that some regions also provide an electrostatic stabilization to the binding free energy. The most stabilizing contributions arise from the interactions between Gln-385A and Pro-322B, Gln-385B and Pro-322A, as well as from Arg-266, Lys-278, and the three hydrophobic residues Val-323, Met-367, and Ala-382 (Fig. 6 b). Some destabilizing contributions arise from Asp-291, Glu-365, Arg-372, and Lys-383 (in both subunits A and B), which pay more in electrostatic dehydration penalty. It is interesting to note that the highly stabilizing Pro-322Gln-385 contact is in the same region of dimer interface that shows a correlated motion in the correlation matrix.
| DISCUSSION AND CONCLUSIONS |
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1 and
2 torsional angles, which describe the conformational properties of this residue, experience two different values during the dynamics (Fig. 2 b). One is similar to that of the initial model (Rotonda et al., 1996
Despite the high mobility of the His residues, the orientation of the substrates with respect to the residues forming the catalytic pocket is well maintained during the dynamics. The reduced flexibility of the active side residues and the substrate itself contrasts that of other proteases such as HIV-I protease (Piana et al., 2002
) and dihydrofolate reductase (Radkiewicz and Brooks, 2000
).
Novel information is obtained on the large-scale dynamics of caspase-3 dimer. We find that the motion of the two monomer units (and in particular of the two active site loops) is highly correlated (Fig. 6 a). This feature, which has already been observed in the dimeric enzyme Cu, Zn superoxide dismutase (Chillemi et al., 1997
), is also consistent with the experimental findings that the dimeric form might be required for full activity. The loop displacements tend to push the substrate toward the active center (Fig. 5 b) possibly favoring more reactive configurations. The motion of loop 4 (the selectivity loop) is also correlated with that of the N-terminus of the p12 subunit of the other monomer (Fig. 6 a). Interestingly, this interaction also turns out to be relevant for the stabilization of the dimer interface (Fig. 6 b). Thus, our calculations fully support the claim, based on structural information, that this contact is essential for caspase activity (Riedl et al., 2001
). Indeed, structural analysis of caspase-7 (which is highly homologous to caspase-3) and its proform suggested that this last interaction, which is present in the mature form and absent in procaspase-7 (Riedl et al., 2001
) could be strictly related to activation.
For the sake of comparison, a molecular dynamics simulation over the same time scale has also been performed for the isolated monomer caspase-3. The monomeric form has never been observed with x-rays or NMR experiments, but could possibly exist in a small percentage of a monomer-dimer equilibrium under proper conditions (Talanian et al., 1996
). In the case of the monomer dynamics, we find that the explored time scale is not sufficient to establish monomer instability or stability conclusively. However, the rms fluctuations exhibit a higher value with respect to the dimer and show an increasing trend indicating that a steady state has not yet been reached. Furthermore, the large-scale motions are different from the one of the dimer. In particular, the main motions of the monomer involve the termini, and in particular the p12 N- and p17 C-termini from opposite subunits, which form a cross contact that is of possible importance for the stability of the quaternary structure of dimeric caspase-3. Large amplitude motions of the active site loops 1 and 4 are also present in the isolated monomer, but they appear to be correlated to the p17 C-terminus motion and different from the active site loop motion in the dimer.
Thus, dimerization appears to have a direct effect on the motions of the single subunits and in particular on the active site loops embracing the substrate. When the single monomer is considered in the isolated form, the motion of the active site loops is strongly influenced by the partial conformational rearrangement occurring at the termini level and involving a contact region crucial for the dimer interface stability.
| ACKNOWLEDGEMENTS |
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Submitted on April 18, 2002; accepted for publication November 25, 2002.
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