A further implementation of the rotational symmetry boundary conditions for calculations of P4(3)2(1)2 symmetry crystals

CAPLIB: A New Program Library for the Modeling and Analysis of Icosahedrally Symmetric Viral Capsids

A new program library named "CAPLIB" was developed for the modeling and analysis of icosahedrally symmetric virus capsids. CAPLIB is equipped with the mathematical data of 60 rotation matrices of icosahedral symmetry, 15 planes bisecting the entire capsid structure, and a table summarizing how the 60 asymmetric units (cells) are partitioned by the planes. CAPLIB contains the function to determine the cell numbers of atoms from the atomic positions and the function to determine the rotation axes and angles from the rotation matrices. Using CAPLIB, it is possible to generate the structure of any selected protein unit within the entire capsid by rotating a single protein unit structure. CAPLIB can classify Protein Data Bank files of capsids with the directions of rotation axes, rotate the protein structure onto the standard position, and perform various deformations of the entire capsid. The interface to the molecular graphics software, PyMOL, was also developed for efficient modeling of capsids.

Molecular Dynamics Simulations to Determine the Structure and Dynamics of Hepatitis B Virus Capsid Bound to a Novel Anti-viral Drug

Hepatitis B virus (HBV) chronically infects millions of people worldwide and is a major cause of serious liver diseases, including liver cirrhosis and liver cancer. In our previous study, in silico screening was used to isolate new anti-viral compounds predicted to bind to the HBV capsid. Four of the isolated compounds have been reported to suppress the cellular multiplication of HBV experimentally. In the present study, molecular dynamics simulations of the HBV capsid were performed under rotational symmetry boundary conditions, to clarify how the structure and dynamics of the capsid are affected at the atomic level by the binding of one of the isolated compounds, C13. Two simulations of the free HBV capsid, two further simulations of the capsid-C13 complex, and one simulation of the capsid-AT-130 complex were performed. For statistical confidence, each set of simulations was repeated by five times, changing the simulation conditions. C13 continued to bind at the predicted binding site during the simulations, supporting the hypothesis that C13 is a capsid-binding compound. The structure and dynamics of the HBV capsid were greatly influenced by the binding and release of C13, and these effects were essentially identical to those seen for AT-130, indicating that C13 likely inhibits the function of the HBV capsid.

Structure and dynamics of the GH loop of the foot-and-mouth disease virus capsid

The GH loop of VP1 of the foot-and-mouth disease virus capsid is important because it is a major antigenic site and an integrin recognition site. The GH loop is disordered in all X-ray structures of the capsid except for serotype O under reduced conditions in which the loop lies on the capsid surface. Although the structure of the capsid-integrin complex has not yet been determined, the GH loop is known to protrude from the capsid surface when the capsid is bound with an antigen-binding fragment (Fab). To clarify the structure and dynamics of the GH loop under natural unreduced conditions before binding to integrins or Fab fragments, we performed molecular dynamics simulation of 16.3 ns long under rotational symmetry boundary conditions for the capsid of serotype O using the X-ray structure of the reduced capsid for the initial coordinates. When the disulfide bond at the base of the GH loop was formed by the molecular mutation method, the loop protruded into the surrounding water, as reported for Fab-capsid complexes, and fluctuated like a tentacle. After equilibration, the GH loop overlapped the surface of the capsid but continued to fluctuate, being directed toward a 2-fold axis. The conformational change of the GH loop after formation of the disulfide bond was explained by a model of elastic tube. The side chains of arginine and aspartic acid of the integrin recognition residues (RGD tripeptide) extended in opposite directions, and the residues on the C-terminal side of the RGD tripeptide formed a hydrophobic cluster in close proximity of the arginine residue of the tripeptide.

Molecular dynamics simulations of a double unit cell in a protein crystal: volume relaxation at constant pressure and correlation of motions between the two unit cells

Eight molecular dynamics simulations of a double crystal unit cell of ubiquitin were performed to investigate the effects of simulating at constant pressure and of simulating two unit cells compared to a single unit cell. To examine the influence of different simulation conditions, the constant-pressure and constant-volume simulations were each performed with and without counterions and using two different treatments of the long-range electrostatic interactions (lattice-sum and reaction-field methods). The constant-pressure simulations were analyzed in terms of unit cell deformation and accompanying protein deformations. Energetic and structural properties of the proteins in the simulations of the double unit cell were compared to the results of previously reported one-unit-cell simulations. Correlation between the two unit cells was also investigated based on relative translational and rotational movements of the proteins and on dipole fluctuations. The box in the constant-pressure simulations is found to deform slowly to reach convergence only after 5-10 ns. This deformation does not result from a distortion in the structure of the proteins but rather from changes in protein packing within the unit cell. The results of the double-unit-cell simulations are closely similar to the results of the single-unit-cell simulations, and little motional correlation is found between the two unit cells.

Motion of an antiviral compound in a rhinovirus capsid under rotational symmetry boundary conditions

A molecular dynamics (MD) simulation of a complex of a rhinovirus protein shell referred to as a "capsid" and an anti-rhinovirus drug, WIN52084s, was performed under the rotational symmetry boundary conditions. For the simulation, the energy parameters of WIN52084s in all-atom approximations were determined by ab initio calculations using a 6-31G* basis set and the two-conformational two-stage restricted electrostatic potential fit method. The motion of WIN52084s and the capsid was focused on in the analysis of the trajectory of the simulation. The root mean square deviations of WIN52084s from the X-ray structure were decomposed to conformational, translational, and rotational components. The translation was further decomposed to radial, longitudinal, and lateral components. The conformation of WIN52084s was rigid, but moving in the pocket. The easiest path of motion for WlN52084s was on the longitudinal line, providing a track for the binding process required of the anti-rhinovirus drug to enter the pocket. The conformation of the pocket was also preserved in the simulation, although the position of the pocket in the capsid fluctuated in the lateral and radial directions.

A homology modeling method of an icosahedral viral capsid: inclusion of surrounding protein structures

A methodological development is presented for homology modeling of an icosahedrally symmetric assembly of proteins. In the method, a main-chain structure of an asymmetric unit of a protein assembly is constructed and structure refinement is performed, taking the surrounding symmetry-related proteins into consideration with rotational symmetry boundary conditions. To test the procedure, three models of a poliovirus capsid were constructed with different modeling conditions based on the X-ray structure of a rhinovirus capsid. Model S and model N were constructed with and without considering surrounding proteins, respectively. Model N2 was obtained by refinement in rotational symmetry boundary conditions of the structure of model N. The three models were compared with the X-ray structure of a poliovirus capsid. Root mean square deviations and C alpha distances indicate that model S is the most accurate. Examination of the intermolecular short contacts indicates that model S and model N2 are superior to model N, because they do not make severe intermolecular short contacts. Symmetric intermolecular interactions are important for both the structural fragment search and energy minimization to predict better loop structures. The programs developed in this study are thus valuable in homology modeling of an icosahedral viral capsid.