- •Foreword
- •Preface
- •Contents
- •Introduction
- •Oren M. Becker
- •Alexander D. MacKerell, Jr.
- •Masakatsu Watanabe*
- •III. SCOPE OF THE BOOK
- •IV. TOWARD A NEW ERA
- •REFERENCES
- •Atomistic Models and Force Fields
- •Alexander D. MacKerell, Jr.
- •II. POTENTIAL ENERGY FUNCTIONS
- •D. Alternatives to the Potential Energy Function
- •III. EMPIRICAL FORCE FIELDS
- •A. From Potential Energy Functions to Force Fields
- •B. Overview of Available Force Fields
- •C. Free Energy Force Fields
- •D. Applicability of Force Fields
- •IV. DEVELOPMENT OF EMPIRICAL FORCE FIELDS
- •B. Optimization Procedures Used in Empirical Force Fields
- •D. Use of Quantum Mechanical Results as Target Data
- •VI. CONCLUSION
- •REFERENCES
- •Dynamics Methods
- •Oren M. Becker
- •Masakatsu Watanabe*
- •II. TYPES OF MOTIONS
- •IV. NEWTONIAN MOLECULAR DYNAMICS
- •A. Newton’s Equation of Motion
- •C. Molecular Dynamics: Computational Algorithms
- •A. Assigning Initial Values
- •B. Selecting the Integration Time Step
- •C. Stability of Integration
- •VI. ANALYSIS OF DYNAMIC TRAJECTORIES
- •B. Averages and Fluctuations
- •C. Correlation Functions
- •D. Potential of Mean Force
- •VII. OTHER MD SIMULATION APPROACHES
- •A. Stochastic Dynamics
- •B. Brownian Dynamics
- •VIII. ADVANCED SIMULATION TECHNIQUES
- •A. Constrained Dynamics
- •C. Other Approaches and Future Direction
- •REFERENCES
- •Conformational Analysis
- •Oren M. Becker
- •II. CONFORMATION SAMPLING
- •A. High Temperature Molecular Dynamics
- •B. Monte Carlo Simulations
- •C. Genetic Algorithms
- •D. Other Search Methods
- •III. CONFORMATION OPTIMIZATION
- •A. Minimization
- •B. Simulated Annealing
- •IV. CONFORMATIONAL ANALYSIS
- •A. Similarity Measures
- •B. Cluster Analysis
- •C. Principal Component Analysis
- •REFERENCES
- •Thomas A. Darden
- •II. CONTINUUM BOUNDARY CONDITIONS
- •III. FINITE BOUNDARY CONDITIONS
- •IV. PERIODIC BOUNDARY CONDITIONS
- •REFERENCES
- •Internal Coordinate Simulation Method
- •Alexey K. Mazur
- •II. INTERNAL AND CARTESIAN COORDINATES
- •III. PRINCIPLES OF MODELING WITH INTERNAL COORDINATES
- •B. Energy Gradients
- •IV. INTERNAL COORDINATE MOLECULAR DYNAMICS
- •A. Main Problems and Historical Perspective
- •B. Dynamics of Molecular Trees
- •C. Simulation of Flexible Rings
- •A. Time Step Limitations
- •B. Standard Geometry Versus Unconstrained Simulations
- •VI. CONCLUDING REMARKS
- •REFERENCES
- •Implicit Solvent Models
- •II. BASIC FORMULATION OF IMPLICIT SOLVENT
- •A. The Potential of Mean Force
- •III. DECOMPOSITION OF THE FREE ENERGY
- •A. Nonpolar Free Energy Contribution
- •B. Electrostatic Free Energy Contribution
- •IV. CLASSICAL CONTINUUM ELECTROSTATICS
- •A. The Poisson Equation for Macroscopic Media
- •B. Electrostatic Forces and Analytic Gradients
- •C. Treatment of Ionic Strength
- •A. Statistical Mechanical Integral Equations
- •VI. SUMMARY
- •REFERENCES
- •Steven Hayward
- •II. NORMAL MODE ANALYSIS IN CARTESIAN COORDINATE SPACE
- •B. Normal Mode Analysis in Dihedral Angle Space
- •C. Approximate Methods
- •IV. NORMAL MODE REFINEMENT
- •C. Validity of the Concept of a Normal Mode Important Subspace
- •A. The Solvent Effect
- •B. Anharmonicity and Normal Mode Analysis
- •VI. CONCLUSIONS
- •ACKNOWLEDGMENT
- •REFERENCES
- •Free Energy Calculations
- •Thomas Simonson
- •II. GENERAL BACKGROUND
- •A. Thermodynamic Cycles for Solvation and Binding
- •B. Thermodynamic Perturbation Theory
- •D. Other Thermodynamic Functions
- •E. Free Energy Component Analysis
- •III. STANDARD BINDING FREE ENERGIES
- •IV. CONFORMATIONAL FREE ENERGIES
- •A. Conformational Restraints or Umbrella Sampling
- •B. Weighted Histogram Analysis Method
- •C. Conformational Constraints
- •A. Dielectric Reaction Field Approaches
- •B. Lattice Summation Methods
- •VI. IMPROVING SAMPLING
- •A. Multisubstate Approaches
- •B. Umbrella Sampling
- •C. Moving Along
- •VII. PERSPECTIVES
- •REFERENCES
- •John E. Straub
- •B. Phenomenological Rate Equations
- •II. TRANSITION STATE THEORY
- •A. Building the TST Rate Constant
- •B. Some Details
- •C. Computing the TST Rate Constant
- •III. CORRECTIONS TO TRANSITION STATE THEORY
- •A. Computing Using the Reactive Flux Method
- •B. How Dynamic Recrossings Lower the Rate Constant
- •IV. FINDING GOOD REACTION COORDINATES
- •A. Variational Methods for Computing Reaction Paths
- •B. Choice of a Differential Cost Function
- •C. Diffusional Paths
- •VI. HOW TO CONSTRUCT A REACTION PATH
- •A. The Use of Constraints and Restraints
- •B. Variationally Optimizing the Cost Function
- •VII. FOCAL METHODS FOR REFINING TRANSITION STATES
- •VIII. HEURISTIC METHODS
- •IX. SUMMARY
- •ACKNOWLEDGMENT
- •REFERENCES
- •Paul D. Lyne
- •Owen A. Walsh
- •II. BACKGROUND
- •III. APPLICATIONS
- •A. Triosephosphate Isomerase
- •B. Bovine Protein Tyrosine Phosphate
- •C. Citrate Synthase
- •IV. CONCLUSIONS
- •ACKNOWLEDGMENT
- •REFERENCES
- •Jeremy C. Smith
- •III. SCATTERING BY CRYSTALS
- •IV. NEUTRON SCATTERING
- •A. Coherent Inelastic Neutron Scattering
- •B. Incoherent Neutron Scattering
- •REFERENCES
- •Michael Nilges
- •II. EXPERIMENTAL DATA
- •A. Deriving Conformational Restraints from NMR Data
- •B. Distance Restraints
- •C. The Hybrid Energy Approach
- •III. MINIMIZATION PROCEDURES
- •A. Metric Matrix Distance Geometry
- •B. Molecular Dynamics Simulated Annealing
- •C. Folding Random Structures by Simulated Annealing
- •IV. AUTOMATED INTERPRETATION OF NOE SPECTRA
- •B. Automated Assignment of Ambiguities in the NOE Data
- •C. Iterative Explicit NOE Assignment
- •D. Symmetrical Oligomers
- •VI. INFLUENCE OF INTERNAL DYNAMICS ON THE
- •EXPERIMENTAL DATA
- •VII. STRUCTURE QUALITY AND ENERGY PARAMETERS
- •VIII. RECENT APPLICATIONS
- •REFERENCES
- •II. STEPS IN COMPARATIVE MODELING
- •C. Model Building
- •D. Loop Modeling
- •E. Side Chain Modeling
- •III. AB INITIO PROTEIN STRUCTURE MODELING METHODS
- •IV. ERRORS IN COMPARATIVE MODELS
- •VI. APPLICATIONS OF COMPARATIVE MODELING
- •VII. COMPARATIVE MODELING IN STRUCTURAL GENOMICS
- •VIII. CONCLUSION
- •ACKNOWLEDGMENTS
- •REFERENCES
- •Roland L. Dunbrack, Jr.
- •II. BAYESIAN STATISTICS
- •A. Bayesian Probability Theory
- •B. Bayesian Parameter Estimation
- •C. Frequentist Probability Theory
- •D. Bayesian Methods Are Superior to Frequentist Methods
- •F. Simulation via Markov Chain Monte Carlo Methods
- •III. APPLICATIONS IN MOLECULAR BIOLOGY
- •B. Bayesian Sequence Alignment
- •IV. APPLICATIONS IN STRUCTURAL BIOLOGY
- •A. Secondary Structure and Surface Accessibility
- •ACKNOWLEDGMENTS
- •REFERENCES
- •Computer Aided Drug Design
- •Alexander Tropsha and Weifan Zheng
- •IV. SUMMARY AND CONCLUSIONS
- •REFERENCES
- •Oren M. Becker
- •II. SIMPLE MODELS
- •III. LATTICE MODELS
- •B. Mapping Atomistic Energy Landscapes
- •C. Mapping Atomistic Free Energy Landscapes
- •VI. SUMMARY
- •REFERENCES
- •Toshiko Ichiye
- •II. ELECTRON TRANSFER PROPERTIES
- •B. Potential Energy Parameters
- •IV. REDOX POTENTIALS
- •A. Calculation of the Energy Change of the Redox Site
- •B. Calculation of the Energy Changes of the Protein
- •B. Calculation of Differences in the Energy Change of the Protein
- •VI. ELECTRON TRANSFER RATES
- •A. Theory
- •B. Application
- •REFERENCES
- •Fumio Hirata and Hirofumi Sato
- •Shigeki Kato
- •A. Continuum Model
- •B. Simulations
- •C. Reference Interaction Site Model
- •A. Molecular Polarization in Neat Water*
- •B. Autoionization of Water*
- •C. Solvatochromism*
- •F. Tautomerization in Formamide*
- •IV. SUMMARY AND PROSPECTS
- •ACKNOWLEDGMENTS
- •REFERENCES
- •Nucleic Acid Simulations
- •Alexander D. MacKerell, Jr.
- •Lennart Nilsson
- •D. DNA Phase Transitions
- •III. METHODOLOGICAL CONSIDERATIONS
- •A. Atomistic Models
- •B. Alternative Models
- •IV. PRACTICAL CONSIDERATIONS
- •A. Starting Structures
- •C. Production MD Simulation
- •D. Convergence of MD Simulations
- •WEB SITES OF INTEREST
- •REFERENCES
- •Membrane Simulations
- •Douglas J. Tobias
- •II. MOLECULAR DYNAMICS SIMULATIONS OF MEMBRANES
- •B. Force Fields
- •C. Ensembles
- •D. Time Scales
- •III. LIPID BILAYER STRUCTURE
- •A. Overall Bilayer Structure
- •C. Solvation of the Lipid Polar Groups
- •IV. MOLECULAR DYNAMICS IN MEMBRANES
- •A. Overview of Dynamic Processes in Membranes
- •B. Qualitative Picture on the 100 ps Time Scale
- •C. Incoherent Neutron Scattering Measurements of Lipid Dynamics
- •F. Hydrocarbon Chain Dynamics
- •ACKNOWLEDGMENTS
- •REFERENCES
- •Appendix: Useful Internet Resources
- •B. Molecular Modeling and Simulation Packages
- •Index
Preface
The first dynamical simulation of a protein based on a detailed atomic model was reported in 1977. Since then, the uses of various theoretical and computational approaches have contributed tremendously to our understanding of complex biomolecular systems such as proteins, nucleic acids, and bilayer membranes. By providing detailed information on biomolecular systems that is often experimentally inaccessible, computational approaches based on detailed atomic models can help in the current efforts to understand the relationship of the structure of biomolecules to their function. For that reason, they are now considered to be an integrated and essential component of research in modern biology, biochemistry, and biophysics.
A number of books and journal articles reviewing computational methods relevant to biophysical problems have been published in the last decade. Two of the most popular texts, however, were published more than ten years ago: those of McCammon and Harvey in 1987 and Brooks, Karplus, and Pettitt in 1988. There has been significant progress in theoretical and computational methodologies since the publication of these books. Therefore, we feel that there is a need for an updated, comprehensive text including the most recent developments and applications in the field.
In recent years the significant increase in computer power along with the implementation of a wide range of theoretical methods into sophisticated simulation programs have greatly expanded the applicability of computational approaches to biological systems. The expansion is such that interesting applications to important and complex biomolecular systems are now often carried out by researchers with no special training in computational methodologies. To successfully apply computational approaches to their systems of interest, these ‘‘nonspecialists’’ must make several important choices about the proper methods and techniques for the particular question that they are trying to address. We believe that a good understanding of the theory behind the myriad of computational methods and techniques can help in this process. Therefore, one of this book’s aims is to provide readers with the required background to properly design and implement computational investigations of biomolecular systems. In addition, the book provides the needed information for calculating and interpreting experimentally observed properties on the basis of the results generated by computer simulations.
vii
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Preface |
This book is organized so that nonspecialists as well as more advanced users can benefit. It can serve as both an introductory text to computational biology, making it useful for students, and a reference source for active researchers in the field. We have tried to compile a comprehensive but reasonably concise review of relevant theoretical and computational methods that is self-contained. Therefore, the chapters, particularly in Part I, are ordered so that the reader can easily follow from one topic to the next and be systematically introduced to the theoretical methods used in computational studies of biomolecular systems. The remainder of the book is designed so that the individual parts as well as their chapters can be read independently. Additional technical details can be found in the references listed in each chapter. Thus the book may also serve as a useful reference for both theoreticians and experimentalists in all areas of biophysics and biochemical research.
This volume thus presents a current and comprehensive account of computational methods and their application to biological macromolecules. We hope that it will serve as a useful tool to guide future investigations of proteins, nucleic acids, and biological membranes, so that the mysteries of biological molecules can continue to be revealed.
We are grateful to the many colleagues we have worked with, collaborated with, and grown with over the course of our research careers. The multidimensionality of those interactions has allowed us to grow in many facets of our lives. Special thanks to Professor Martin Karplus for contributing the Foreword of this book and, most important, for supplying the insights, knowledge, and environment that laid the foundation for our scientific pursuits in computational biochemistry and biophysics and led directly to the creation of this book. Finally, we wish to acknowledge the support of all our friends and family.
Oren M. Becker
Alexander D. MacKerell, Jr.
Benoıˆt Roux
Masakatsu Watanabe
Contents
Foreword Martin Karplus iii
Preface vii
Contributors xi
Part I Computational Methods
1.Introduction 1
Oren M. Becker, Alexander D. MacKerell, Jr., Benoıˆt Roux, and Masakatsu Watanabe
2. Atomistic Models and Force Fields 7
Alexander D. MacKerell, Jr.
3.Dynamics Methods 39
Oren M. Becker and Masakatsu Watanabe
4.Conformational Analysis 69
Oren M. Becker
5. |
Treatment of Long-Range Forces and Potential 91 |
|
Thomas A. Darden |
6. |
Internal Coordinate Simulation Method 115 |
|
Alexey K. Mazur |
7.Implicit Solvent Models 133
Benoıˆt Roux
8. Normal Mode Analysis of Biological Molecules 153
Steven Hayward
9.Free Energy Calculations 169
Thomas Simonson
ix
x |
Contents |
10. |
Reaction Rates and Transition Pathways 199 |
|
John E. Straub |
11. |
Computer Simulation of Biochemical Reactions with QM–MM Methods 221 |
|
Paul D. Lyne and Owen A. Walsh |
Part II Experimental Data Analysis
12.X-Ray and Neutron Scattering as Probes of the Dynamics of Biological Molecules 237
Jeremy C. Smith
13. |
Applications of Molecular Modeling in NMR Structure Determination |
253 |
||
|
Michael Nilges |
|
|
|
Part III Modeling and Design |
|
|
|
|
14. |
Comparative Protein Structure Modeling |
275 |
|
|
|
Andras´ Fiser, Roberto Sanchez,´ |
|
ˇ |
|
|
Francisco Melo, and Andrej Sali |
|
||
15. |
Bayesian Statistics in Molecular and Structural Biology 313 |
|
||
|
Roland L. Dunbrack, Jr. |
|
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16. |
Computer Aided Drug Design |
351 |
|
|
|
Alexander Tropsha and Weifan Zheng |
|
|
|
Part IV Advanced Applications |
|
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|
17. |
Protein Folding: Computational Approaches 371 |
|
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|
Oren M. Becker |
|
|
|
18. |
Simulations of Electron Transfer Proteins |
393 |
|
|
|
Toshiko Ichiye |
|
|
|
19. |
The RISM-SCF/MCSCF Approach for Chemical Processes in Solutions |
417 |
||
|
Fumio Hirata, Hirofumi Sato, Seiichiro Ten-no, and Shigeki Kato |
|
20.Nucleic Acid Simulations 441
Alexander D. MacKerell, Jr. and Lennart Nilsson
21.Membrane Simulations 465
Douglas J. Tobias
Appendix: Useful Internet Resources 497
Index 503
Contributors
Oren M. Becker Department of Chemical Physics, School of Chemistry, Tel Aviv University, Tel Aviv, Israel
Thomas A. Darden Laboratory of Structural Biology, National Institute of Environmental Health Sciences, National Institutes of Health, Research Triangle Park, North Carolina
Roland L. Dunbrack, Jr. Institute for Cancer Research, Fox Chase Cancer Center, Philadelphia, Pennsylvania
Andra´s Fiser Laboratories of Molecular Biophysics, The Rockefeller University, New York, New York
Steven Hayward School of Information Systems, University of East Anglia, Norwich, England
Fumio Hirata Department of Theoretical Study, Institute for Molecular Science, Okazaki National Research Institutes, Okazaki, Japan
Toshiko Ichiye School of Molecular Biosciences, Washington State University, Pullman, Washington
Shigeki Kato Department of Chemistry, Kyoto University, Kyoto, Japan
Paul D. Lyne Computer Aided Drug Design, Biogen, Inc., Cambridge, Massachusetts
Alexander D. MacKerell, Jr. School of Pharmacy, University of Maryland, Baltimore, Maryland
Alexey K. Mazur Institut de Biologie Physico-Chimique, CNRS, Paris, France
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xii |
Contributors |
Francisco Melo Laboratories of Molecular Biophysics, The Rockefeller University, New York, New York
Michael Nilges Structural and Computational Biology Program, European Molecular Biology Laboratory, Heidelberg, Germany
Lennart Nilsson Department of Biosciences at NOVUM, Karolinska Institutet, Huddinge, Sweden
Benoıˆt Roux Department of Biochemistry and Structural Biology, Weill Medical College of Cornell University, New York, New York
ˇ
Andrej Sali Laboratories of Molecular Biophysics, The Rockefeller University, New York, New York
Roberto Sa´nchez Laboratories of Molecular Biophysics, The Rockefeller University, New York, New York
Hirofumi Sato Department of Theoretical Study, Institute for Molecular Science, Okazaki National Research Institutes, Okazaki, Japan
Thomas Simonson Laboratory for Structural Biology and Genomics, Centre National de la Recherche Scientifique, Strasbourg, France
Jeremy C. Smith Lehrstuhl fu¨r Biocomputing, Interdisziplina¨res Zentrum fu¨r Wissenschaftliches Rechnen der Universita¨t Heidelberg, Heidelberg, Germany
John E. Straub Department of Chemistry, Boston University, Boston, Massachusetts
Seiichiro Ten-no Graduate School of Information Science, Nagoya University, Nagoya,
Japan
Douglas J. Tobias Department of Chemistry, University of California at Irvine, Irvine, California
Alexander Tropsha Laboratory for Molecular Modeling, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina
Owen A. Walsh Physical and Theoretical Chemistry Laboratory, Oxford University, Oxford, England
Masakatsu Watanabe* Moldyn, Inc., Cambridge, Massachusetts
Weifan Zheng Laboratory for Molecular Modeling, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina
* Current affiliation: Wavefunction, Inc., Irvine, California.