Use of pair potentials across protein interfaces in screening predicted docked complexes.

Empirical residue-residue pair potentials are used to screen possible complexes for protein-protein dockings. A correct docking is defined as a complex with not more than 2.5 A root-mean-square distance from the known experimental structure. The complexes were generated by "ftdock" (Gabb et al. J Mol Biol 1997;272:106-120) that ranks using shape complementarity. The complexes studied were 5 enzyme-inhibitors and 2 antibody-antigens, starting from the unbound crystallographic coordinates, with a further 2 antibody-antigens where the antibody was from the bound crystallographic complex. The pair potential functions tested were derived both from observed intramolecular pairings in a database of nonhomologous protein domains, and from observed intermolecular pairings across the interfaces in sets of nonhomologous heterodimers and homodimers. Out of various alternate strategies, we found the optimal method used a mole-fraction calculated random model from the intramolecular pairings. For all the systems, a correct docking was placed within the top 12% of the pair potential score ranked complexes. A combined strategy was developed that incorporated "multidock," a side-chain refinement algorithm (Jackson et al. J Mol Biol 1998;276:265-285). This placed a correct docking within the top 5 complexes for enzyme-inhibitor systems, and within the top 40 complexes for antibody-antigen systems.

Modelling repressor proteins docking to DNA.

The docking of repressor proteins to DNA starting from the unbound protein and model-built DNA coordinates is modeled computationally. The approach was evaluated on eight repressor/DNA complexes that employed different modes for protein/ DNA recognition. The global search is based on a protein-protein docking algorithm that evaluates shape and electrostatic complementarity, which was modified to consider the importance of electrostatic features in DNA-protein recognition. Complexes were then ranked by an empirical score for the observed amino acid /nucleotide pairings (i.e., protein-DNA pair potentials) derived from a database of 20 protein/ DNA complexes. A good prediction had at least 65% of the correct contacts modeled. This approach was able to identify a good solution at rank four or better for three out of the eight complexes. Predicted complexes were filtered by a distance constraint based on experimental data defining the DNA footprint. This improved coverage to four out of eight complexes having a good model at rank four or better. The additional use of amino acid mutagenesis and phylogenetic data defining residues on the repressor resulted in between 2 and 27 models that would have to be examined to find a good solution for seven of the eight test systems. This study shows that starting with unbound coordinates one can predict three-dimensional models for protein/DNA complexes that do not involve gross conformational changes on association.

A computational system for modelling flexible protein-protein and protein-DNA docking.

A computational system is described that predicts the structure of protein/protein and protein/DNA complexes starting from unbound coordinate sets. The approach is (i) a global search with rigid-body docking for complexes with shape complementarity and favourable electrostatics; (ii) use of distance constraints from experimental (or predicted) knowledge of critical residues; (iii) use of pair potential to screen docked complexes and (iv) refinement and further screening by protein-side chain optimisation and interfacial energy minimisation. The system has been applied to model ten protein/protein and eight protein-repressor/DNA (steps i to iii only) complexes. In general a few complexes, one of which is close to the true structure, can be generated.

Predictive docking of protein-protein and protein-DNA complexes.

Recent developments in algorithms to predict the docking of two proteins have considered both the initial rigid-body global search and subsequent screening and refinement. The result of two blind trials of protein docking are encouraging--for complexes that are not too large and do not undergo sizeable conformational change upon association, the algorithms are now able to suggest reasonably accurate models.

Rapid refinement of protein interfaces incorporating solvation: application to the docking problem.

A computationally tractable strategy has been developed to refine protein-protein interfaces that models the effects of side-chain conformational change, solvation and limited rigid-body movement of the subunits. The proteins are described at the atomic level by a multiple copy representation of side-chains modelled according to a rotamer library on a fixed peptide backbone. The surrounding solvent environment is described by "soft" sphere Langevin dipoles for water that interact with the protein via electrostatic, van der Waals and field-dependent hydrophobic terms. Energy refinement is based on a two-step process in which (1) a probability-based conformational matrix of the protein side-chains is refined iteratively by a mean field method. A side-chain interacts with the protein backbone and the probability-weighted average of the surrounding protein side-chains and solvent molecules. The resultant protein conformations then undergo (2) rigid-body energy minimization to relax the protein interface. Steps (1) and (2) are repeated until convergence of the interaction energy. The influence of refinement on side-chain conformation starting from unbound conformations found improvement in the RMSD of side-chains in the interface of protease-inhibitor complexes, and shows that the method leads to an improvement in interface geometry. In terms of discriminating between docked structures, the refinement was applied to two classes of protein-protein complex: five protease-protein inhibitor and four antibody-antigen complexes. A large number of putative docked complexes have already been generated for the test systems using our rigid-body docking program, FTDOCK. They include geometries that closely resemble the crystal complex, and therefore act as a test for the refinement procedure. In the protease-inhibitors, geometries that resemble the crystal complex are ranked in the top four solutions for four out of five systems when solvation is included in the energy function, against a background of between 26 and 364 complexes in the data set. The results for the antibody-antigen complexes are not as encouraging, with only two of the four systems showing discrimination. It would appear that these results reflect the somewhat different binding mechanism dominant in the two types of protein-protein complex. Binding in the protease-inhibitors appears to be "lock and key" in nature. The fixed backbone and mobile side-chain representation provide a good model for binding. Movements in the backbone geometry of antigens on binding represent an "induced-fit" and provides more of a challenge for the model. Given the limitations of the conformational sampling, the ability of the energy function to discriminate between native and non-native states is encouraging. Development of the approach to include greater conformational sampling could lead to a more general solution to the protein docking problem.

Modelling protein docking using shape complementarity, electrostatics and biochemical information.

A protein docking study was performed for two classes of biomolecular complexes: six enzyme/inhibitor and four antibody/antigen. Biomolecular complexes for which crystal structures of both the complexed and uncomplexed proteins are available were used for eight of the ten test systems. Our docking experiments consist of a global search of translational and rotational space followed by refinement of the best predictions. Potential complexes are scored on the basis of shape complementarity and favourable electrostatic interactions using Fourier correlation theory. Since proteins undergo conformational changes upon binding, the scoring function must be sufficiently soft to dock unbound structures successfully. Some degree of surface overlap is tolerated to account for side-chain flexibility. Similarly for electrostatics, the interaction of the dispersed point charges of one protein with the Coulombic field of the other is measured rather than precise atomic interactions. We tested our docking protocol using the native rather than the complexed forms of the proteins to address the more scientifically interesting problem of predictive docking. In all but one of our test cases, correctly docked geometries (interface Calpha RMS deviation

Base-base and deoxyribose-base stacking interactions in B-DNA and Z-DNA: a quantum-chemical study.

Base-stacking interactions in canonical and crystal B-DNA and in Z-DNA steps are studied using the ab initio quantum-chemical method with inclusion of electron correlation. The stacking energies in canonical B-DNA base-pair steps vary from -9.5 kcal/mol (GG) to -13.2 kcal/mol (GC). The many-body nonadditivity term, although rather small in absolute value, influences the sequence dependence of stacking energy. The base-stacking energies calculated for CGC and a hypothetical TAT sequence in Z-configuration are similar to those in B-DNA. Comparison with older quantum-chemical studies shows that they do not provide even a qualitatively correct description of base stacking. We also evaluate the base-(deoxy)ribose stacking geometry that occurs in Z-DNA and in nucleotides linked by 2',5'-phosphodiester bonds. Although the molecular orbital analysis does not rule out the charge-transfer n-pi* interaction of the sugar 04' with the aromatic base, the base-sugar contact is stabilized by dispersion energy similar to that of stacked bases. The stabilization amounts to almost 4 kcal/mol and is thus comparable to that afforded by normal base-base stacking. This enhancement of the total stacking interaction could contribute to the propensity of short d(CG)n sequences to adopt the Z-conformation.

A small intraexonic deletion within the dystrophin gene suggests a possible mechanism of mutagenesis.

A case of Duchenne muscular dystrophy is described with an unusual mutation consisting of a 17-bp deletion within exon 47 of the dystrophin gene. The sequences on either side of the deletion have a high degree of intrastrand base complementarity. It is hypothesised that the mechanism generating the deletion may have been the formation of hairpin loop structure in a single strand of DNA followed by enzymatic degradation at unpaired regions within the loop.

Finding and visualizing nucleic acid base stacking.

Base stacking is one of the primary factors stabilizing nucleic acid structure. Yet, methods for locating stacking interactions in DNA and RNA are rare and methods for displaying stacking are rarer still. We present here simple, automated procedures to search nucleic acid molecules for base-base and base-oxygen stacking and to display these interactions graphically in a manner that readily conveys both the location and the quality of the interaction. The method makes no a priori assumptions about relative base positions when searching for stacking, nor does it rely on empirical energy functions. This is a distinct advantage for two reasons. First, the relative contributions of the forces stabilizing stacked bases are unknown. Second, the electrostatic and hydrophobic components of base stacking are both poorly defined by existing potential energy functions.

Conformational transitions using molecular dynamics with minimum biasing.

The molecular dynamics algorithm (MD), which simulates intramolecular motions on the subnanosecond timescale, has been modified to allow the investigation of slow conformational transitions that do not necessarily occur spontaneously in MD simulations. The method is designated CONTRA MD (CONformational TRAnsitions by Molecular Dynamics with minimum biasing). The method requires the prior definition of a single conformational variable that is required to vary monotonically from an initial conformation to a final target conformation. The simulation is broken up into a series of short free MD segments, and we determine, after each segment of MD, whether or not the system has evolved toward the final conformation. Those segments that do not move the system in that direction are deleted. Those that do move it toward the final conformation are patched together sequentially to generate a single representative trajectory along the transition pathway. The CONTRA MD method is demonstrated first by application to the simultaneous C2'-endo to C3'-endo repucker and anti to syn N-glycosidic torsion transitions in 2'-deoxyadenosine and then to the large-scale bending in phenylalanine transfer RNA.

Molecular modeling to predict the structural and biological effects of mutations in a highly conserved histone mRNA loop sequence.

The 3'-end of histone mRNAs contains a highly conserved sequence motif which is believed to form a 6 base pair stem and a 4 base loop. These sequences are involved in both the efficiency of 3'-end formation and stability of the mature histone mRNA. We have modeled four stem basepairs and the loop portion of this structure using the wildtype sequences and several mutant sequences. A structure for the wildtype stem-loop is proposed that is based on energy minimization using a representative wildtype sequence and comparison with structures obtained using naturally occurring mutations which do not alter loop function. A wildtype structure is proposed in which the top basepair of the stem is broken, forming a six base loop. Mutant sequences with altered bases in the loop and in the stem were also modeled. The effect of these mutations on the proposed wildtype structure is discussed and possible biological consequences considered.