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* Scuola Internazionale Superiore di Studi Avanzati and Istituto Nazionale per la Fisica della Materia, Democritos Modeling Center for Research in Atomic Simulation, Trieste, Italy; and
Venetian Institute of Molecular Medicine, Padova, Italy
Correspondence: Address reprint requests to P. Carloni, Tel.: 39-040-378-7407; E-mail: carloni{at}sissa.it.
| ABSTRACT |
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| INTRODUCTION |
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HCN channels are tetrameric and each monomer comprises three conserved domains. The transmembrane domain, which is responsible for the ion selectivity and gating, is connected to the C-linker domain in the cytoplasm, which in turn is linked to the cyclic nucleotide binding domain (CNBD).
HCN2 is the most characterized member of the family. In this channel, CNBD inhibits channel activity by a mechanism that depends on the C-linker/CNBD interactions: binding of cAMP relieves this inhibition and shifts the voltage dependence by
+17 mV to less negative values (15
,16
). In a seminal article (17
), Zagotta and co-workers have determined the x-ray structure of C-linker and CNBD of HCN2 from mouse in complex with four equivalents of cAMP (Fig. 1, a and b). The C-linker is composed by six
-helices (A'F'), establishing a large amount of intersubunit contacts and coupling the ion-channel gating transmembrane part to the CNBD (17
,18
). The CNBD includes four
-helices (A, P, B, C) and an eight-stranded ß-roll, arranged with the same fold of other CNBDs (19
27
). cAMP binds in its anti-conformation to a highly conserved region lined by the ß-rolls, P-, and C-helices (Fig. 1, a and d). Its phosphate and OH groups H-bond to a group of residues from 581 to 593, which includes the P-helix and the following loop. These residues constitute the signature motif of the CNBDs, called the phosphate-binding cassette (28
). The purinic group of the ligand forms contacts with ß-strands 4 and 5 (Val-564, Met-572, and Leu-574) and the C-helix (Arg-632 and Ile-636) (17
).
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| COMPUTATIONAL METHODS |
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, N
, N
, and N
, as this choice optimizes the formation of the H-bond network with their surroundings. Acid and basic residues are assumed to be ionized at the physiological conditions. The models are immersed in parallelepiped boxes whose edges are
10.0, 10.0, and 8.1 nm, containing
22,500 water molecules; 12 and 16 chlorine ions are added to neutralize the boxes.
The AMBER99 (37
39
) and the TIP3P (40
) force fields are used for the protein (and ions) and water, respectively; parameters for cAMP are obtained from Punta et al. (41
). Rectangular periodic boundary conditions are applied. Particle-mesh Ewald is used to evaluate long-range electrostatics (42
44
). A cutoff of 1 nm is used for the real part of the electrostatics and van der Waals interactions. The neighbor list is updated every 10 steps. Constraints are applied to the chemical bonds using the LINCS algorithm (45
). The integration time step is set to 1.5 fs.
The MD program GROMACS is used (46
,47
). After energy minimization, 45 ps of MD of the solvent and a gradual heating of the systems (eight runs, 22.5 ps each, from 0 to 10, 30, 70, 100, 150, 200, 250, 300 K, using the Berendsen thermostat and barostat (48
)), the complexes undergo 2.3 ns of MD in the NPT ensemble at 300 K and 1 atm pressure, using the Nosé-Hoover thermostat (49
,50
) and the Parrinello-Rahman barostat (51
,52
); the pressure coupling is isotropic in all directions. After
2 ns, the average root mean-square deviation (RMSD) for single subunits fluctuates around 0.15 nm in both systems (Fig. 2, a and b). Finally, 19.7 ns MDs are performed in the NVT ensemble, using the Nosé-Hoover thermostat (49
,50
).
The following properties are calculated:
and properties 24 are calculated for the last 20 ns of MD.
To complement the study of the protein dynamic properties, we perform elastic network analysis by applying a modified version of the Gaussian model, which consider also the Cß atoms (63
).
| RESULTS |
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13-ns timescale. Also the distances between centers-of-mass of two complex halves (Fig. 1, b and f), which are perpendicular to the homotetramer rotational symmetry, oscillate with the same period and an amplitude of
0.05 nm (Fig. 2 c and Fig. 1, b and f). The protein oscillates between a configuration similar to that of the x-ray structure and a conformation where two opposite intersubunit interface regions are more distant than the other two. The projection of the first EM on the real space trajectory reproduces this movement (see Fig. 1, Supplementary Material, and animation available at http://www.sissa.it/
berrera/HCN2/movies.html). The corresponding eigenvalue accounts for
24% of the total fluctuations. No large intrasubunit rearrangements are observed and the RMSD of single subunit is nearly 0.15 nm (Fig. 2 a). The cosine contents of the first 10 EMs are as small as 0.2, indicating that the simulation is rather converged (58
70% of the total fluctuations, correlate with the corresponding eigenvalues of the ß-Gaussian normal modes (see Fig. 2, Supplementary Material). In addition, the secondary structure elements and the protein/ligand contacts observed in the x-ray structure are fully maintained throughout the MD trajectory.
Apoprotein
Also, the RMSD of the ligand free protein increases up to nearly 0.2 nm within the first 2 ns, and subsequently fluctuates between 0.2 and 0.3 nm without the oscillation identified above (Fig. 2 b). A plot of the distances between the same centers-of-mass defined above confirms that the quaternary structure does not oscillate as in the cAMP-bound system (Fig. 2 d). In addition, the motion of each subunit is uncorrelated to that of the others. The RMSDs of each subunit fluctuate at
0.2 nm toward the end of the simulation (Fig. 2 b), suggesting that in this case fluctuations within single chains are more relevant. In fact, the absence of the ligand causes a cascade of dramatic rearrangements first affecting C- and P-helices, which are elements forming the binding pocket. These rearrangements have been already observed in CNBDs of other proteins with the same fold (20
,23
,28
,34
,35
,41
) and are here only briefly summarized (Fig. 1 d). The C-helix breaks, increasing the flexibility of its extremities. This allows for a rotation of the P-helix around its longitudinal axis as observed in other CNBDs (20
,23
,34
). The movements of the C- and P-helices are also transferred to helices B, A, and F', this last within the C-term part of the C-linker. F'-helix moves closer to C-helix of CNBD and its secondary structure breaks. These rearrangements are linked to residues bearing higher flexibility, as evidenced by a comparison of the B-factors in the apoprotein with those of the holoprotein (Fig. 1, e and g). The cosine content of the largest EM is 0.8 and those of the following nine are as small as 0.2, probably suggesting that the system has not yet reached a fully converged state.
Finally, the intersubunit interaction appears to be stronger in the apoprotein than in the holoprotein, because the intersubunit contact surface is respectively 74 (2) nm2 and 69 (2) nm2 (64
), compatible with the fact that, in the holoprotein, the subunits undergo large oscillations, one relative to the other.
| DISCUSSION AND CONCLUSION |
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13 ns (Fig. 1 f, Fig. 2 c, and animation at http://www.sissa.it/
berrera/HCN2/movies.html). Elastic network analysis supports these conclusions.
A reduction of the intersubunit interactions due to electrostatics has been proposed to facilitate the opening transition of the C-linker (67
,68
). Thus, at the speculative level, we also propose that the weakening of the van der Waals interactions can play a role for gating. In fact, our calculations indicate that the cAMP binding induces a reduction in the contact surfaces between subunits, i.e., it leads to a weakening of the intersubunit van der Waals interaction.
The MD simulations provide also insights on the cytoplasmic domains in the ligand-free form, for which no structural information is available. CNBD experiences a cascade of rearrangements of secondary structure elements: the repositioning of P-helix and the increased flexibility of C-helix lead to a reorientation of B-helix, which in turn affects A-helix and the C-terminal part of C-linker (Fig. 1 d). Very similar cascades of events have been seen previously in the context of CNBDs with the same fold in different proteins (34
), pointing to a ligand-dependent orientation of C-helix relative to the ß-roll (28
,35
,41
) and to a conformational change in the phosphate-binding cassette after ligand release coupled to a reorientation of the B-helix by hydrophobic residues, which are conserved in CNBDs from different proteins and corresponds in HCN2 to Leu-585 of P-helix and Phe-611 of B-helix (20
,23
,28
). In fact, in the apoprotein a rotation of the P-helix turns the Leu-585 side chain to push the Phe-611 side chain.
In conclusion, MD simulations allow us to dissect important aspects of the mechanism for cAMP allosteric modulation in the HCN2 channel. We must note that the structural features reported here for the cAMP free and bound systems are confined to the relatively short timescale allowed by the state-of-the-art simulation techniques. Nevertheless, our results are in agreement with a variety of experimental data present in the literature, and allow us to formulate a molecular level model for the cAMP modulation of the HCN2 channel.
| SUPPLEMENTARY MATERIAL |
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| ACKNOWLEDGEMENTS |
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This work was financially supported by Ministero dellIstruzione, dellUniversita e della Ricerca (MURST-COFIN) and by Fondazione Cariparo.
Submitted on July 29, 2005; accepted for publication January 25, 2006.
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