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Scientific Report 2004


Molecular Biology




Computer Modeling of Proteins and Nucleic Acids


D.A. Case, S. Brozell, J. Carlsson, M. Crowley, Q. Cui, P. Dasgupta, F. Dupradeau,* T. Dwyer,** H. Gohlke, D. Groff, D. Mathews, S. Moon, D. Nguyen, A. Onufriev, R. Torres, R.C. Walker

* Université Jules Verne, Amiens, France
** University of San Diego, San Diego, California

Computer simulations offer an exciting approach to the study of many aspects of biochemical interactions. We focus primarily on molecular dynamics simulations (in which Newton’s equations of motions are solved numerically) to model the solution behavior of biomacromolecules. Recent applications include detailed analyses of electrostatic interactions in short peptides (folded and unfolded), proteins, and oligonucleotides in solution.

In addition, molecular dynamics methods are useful in refining solution structures of proteins by using constraints derived from nuclear magnetic resonance (NMR) spectroscopy, and we continue to explore new methods in this area. Our developments are incorporated into the Amber molecular modeling package, designed for large-scale biomolecular simulations, and into other software, including Nucleic Acid Builder, for developing 3-dimensional models of unusual nucleic acid structures; SHIFTS, for analyzing chemical shifts in proteins and nucleic acids; and RNAMotif, for finding structural motifs in genomic sequence databases.

Additional studies on active sites of nitrogenase and other metalloenzymes are described in the report of L. Noodleman, Department of Molecular Biology.

NMR and the Structure and Dynamics of Proteins and Nucleic Acids

Our overall goal is to extract the maximum amount of information on biomolecular structure and dynamics from NMR experiments. To this end, we are studying the use of direct refinement methods for determining biomolecular structures in solution, going beyond distance constraints to generate closer connections between calculated and observed spectra. We are also using quantum chemistry to study chemical shifts and spin-spin coupling constants. As an example, Figure 1 shows a fragment taken from a molecular dynamics simulation of thioredoxin.

Fig. 1. Part of the protein thioredoxin shows some of the important hydrogen-bonding interactions that influence nitrogen and proton chemical shifts.

Quantum mechanical calculations of chemical shifts on fragments of this size can provide important information about the connections between protein structure and NMR parameters. Other types of data, such as chemical shift anisotropies, direct dipolar couplings in partially oriented samples, and analysis of cross-correlated relaxation, are also being used to guide structure refinement. In recent structural studies, we focused on minor groove–binding drugs in complex with DNA and on complexes of zinc finger proteins with RNA.

Modeling of Nucleic Acids

Another project centers on the development of novel computer methods to construct models of “unusual” nucleic acids that go beyond traditional helical motifs. We are using these methods to study circular DNA, small RNA fragments, and 3- and 4-stranded DNA complexes, including models for recombination sites. We continue to develop efficient computer implementations of continuum solvent methods to allow simplified simulations that do not require a detailed description of the solvent (water) molecules; this approach also provides a useful way to study salt effects.

This research is part of a larger effort to develop “low resolution” models for nucleic acids that can be extended to much larger structures such as circular DNA, viruses, or models of ribosomal particles. Figure 2 gives an example of the reduction in the number of atoms that would be achieved for a small piece of the ribosome consisting of a stretch of RNA and an associated ribosomal protein.

Fig. 2. An example of a low-resolution description of a piece of the central domain of the small subunit of the ribosome shows the decrease in complexity compared with an all-atom model.

A computer language, NAB, was developed to make it easier to construct and simulate molecular models for complex and often low-resolution problems. The language is being used to study compact and swollen viruses, to analyze curved and circular DNA, and to simulate ribosomal assembly.

Dynamics and Energetics of Native and Nonnative States of Proteins

Analysis methods similar to those described for nucleic acids are also being used to estimate thermodynamic properties of “molten globules” and unfolded states of proteins. These studies are an extension of our earlier work on the folding of peptide fragments of proteins. A key feature is the development of computational methods that can be used to model pH and salt dependence of complex conformational transitions, such as unfolding events.

A second aspect of this research is a detailed interpretation of NMR results for protein nonnative states through molecular dynamics simulations and the construction of models for molecular motion and disorder. In a parallel effort, we are studying correlated fluctuations about native conformations in a variety of proteins, including dihydrofolate reductase, metallo-β-lactamase, binase, and cyclic-dependent kinase, in an effort to make more secure connections between the motions of proteins and the activities of enzymes.

All of these modeling activities are based on molecular mechanics force fields, which provide estimates of energies as a function of conformation. We continue to work on improvements in force fields; recently, we focused on adding aspects of electronic polarizability, going beyond the usual fixed-charge models, and on methods for handling arbitrary organic molecules that might be considered potential inhibitors in drug discovery efforts. Overall, the new models should provide a better picture of the noncovalent interactions between peptide groups and their surroundings, leading ultimately to more faithful simulations.

Publications

Case, D.A. NMR parameters in proteins and nucleic acids. In: Calculation of NMR and EPR Parameters. Kaupp, M., Bühl, M., Malkin, V.G. (Eds.). Wiley-VCH, New York, 2004, p. 341.

Cui, J., Crich, D., Wink, D., Lam, M., Rheingold, A.L., Case, D.A., Fu, W., Zhou, Y., Rao, M., Olson, A.J., Johnson, M.E. Design and synthesis of highly constrained factor Xa inhibitors: amidine-substituted bis(benzoyl)-[1,3]-diazepan-2-ones and bis(benzylidene)-bis(gem-dimethyl)cycloketones. Bioorg. Med. Chem. 11:3379, 2003.

Feig, M., Onufriev, A., Lee, M.S., Im, W., Case, D.A., Brooks, C.L. III. Performance comparison of generalized Born and Poisson methods in the calculation of electrostatic solvation energies for protein structures. J. Comput. Chem. 25:265, 2004.

Gohlke, H., Case, D.A. Converging free energy estimates: MM-PB(GB)SA studies on the protein-protein complex Ras-Raf. J. Comput. Chem. 25:238, 2004.

Gohlke, H., Kiel, C., Case, D.A. Insights into protein-protein binding by binding free energy calculation and free energy decomposition for the Ras-Raf and Ras-RalGDS complexes. J. Mol. Biol. 330:891, 2003.

Gohlke, H., Kuhn, L.A., Case, D.A. Change in protein flexibility upon complex formation: analysis of Ras-Raf using molecular dynamics and a molecular framework approach. Proteins 56:322, 2004.

Lovell, T., Liu, T., Case, D.A., Noodleman, L. Structural, spectroscopic, and redox consequences of a central ligand in the FeMoco of nitrogenase: a density functional theoretical study. J. Am. Chem. Soc. 125:8377, 2003.

Moulnier, L., Case, D.A., Simonson, T. Reintroducing electrostatics into protein x-ray structure refinement: bulk solvent treated as a dielectric continuum. Acta Crystallogr. D Biol. Crystallogr. 59(Pt. 12):2094, 2003.

Onufriev, A., Bashford, D., Case, D.A. Exploring protein native states and large-scale conformational changes with a modified generalized Born model. Proteins 55:383, 2004.

Roberts, M.F., Cui, Q., Turner, C.J., Case, D.A., Redfield, A.G. High-resolution field-cycling NMR studies of a DNA octamer as a probe of phosphodiester dynamics and comparison with computer simulation. Biochemistry 43:3637, 2004.

Roberts, V.A., Case., D.A., Tsui, V. Predicting interactions of winged-helix transcription factors with DNA. Proteins 57:172, 2004.

Simonson, T., Carlsson, J., Case, D.A. Proton binding to proteins: pKa calculations with explicit and implicit solvent models. J. Am. Chem. Soc. 126:4167, 2004.

Wang, J., Wolf, R.M., Caldwell, J.W., Kollman, P.A., Case, D.A. Development and testing of a general Amber force field. J. Comput. Chem. 25:1157, 2004.

 

David A. Case, Ph.D.
Professor

Case Web Site