Preface to the Second Edition |
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xiii | |
Preface to the First Edition |
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xv | |
Symbols and Physical Constants |
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xvii | |
Acknowledgements |
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xxi | |
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Useful Concepts in Molecular Modelling |
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1 | (25) |
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1 | (1) |
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2 | (2) |
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Potential Energy Surfaces |
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4 | (1) |
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5 | (1) |
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6 | (2) |
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Computer Hardware and Software |
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8 | (1) |
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Units of Length and Energy |
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9 | (1) |
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The Molecular Modelling Literature |
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9 | (1) |
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10 | (14) |
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24 | (2) |
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24 | (1) |
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24 | (2) |
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An Introduction to Computational Quantum Mechanics |
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26 | (82) |
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26 | (4) |
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30 | (4) |
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Polyelectronic Atoms and Molecules |
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34 | (7) |
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Molecular Orbital Calculations |
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41 | (10) |
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The Hartree-Fock Equations |
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51 | (14) |
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65 | (9) |
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Calculating Molecular Properties Using an initio Quantum Mechanics |
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74 | (12) |
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Approximate Molecular Orbital Theories |
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86 | (1) |
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86 | (13) |
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99 | (3) |
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Performance of Semi-empirical Methods |
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102 | (6) |
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Some Common Acronyms Used in Computational Quantum Chemistry |
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104 | (1) |
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105 | (1) |
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105 | (3) |
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Advanced ab initio Methods, Density Functional Theory and Solid-state Quantum Mechanics |
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108 | (57) |
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108 | (1) |
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108 | (2) |
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110 | (7) |
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Practical Considerations When Performing ab initio Calculations |
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117 | (5) |
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Energy Component Analysis |
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122 | (2) |
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124 | (2) |
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Density Functional Theory |
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126 | (12) |
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Quantum Mechanical Methods for Studying the Solid State |
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138 | (22) |
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The Future Role of Quantum Mechanics: Theory and Experiment Working Together |
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160 | (5) |
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Alternative Expression for a Wavefunction Satisfying Bloch's Function |
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161 | (1) |
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161 | (1) |
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162 | (3) |
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Empirical Force Field Models: Molecular Mechanics |
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165 | (88) |
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165 | (3) |
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Some General Features of Molecular Mechanics Force Fields |
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168 | (2) |
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170 | (3) |
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173 | (1) |
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173 | (3) |
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Improper Torsions and Out-of-plane Bending Motions |
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176 | (2) |
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Cross Terms: Class 1, 2 and 3 Force Fields |
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178 | (3) |
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Introduction to Non-bonded Interactions |
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181 | (1) |
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Electrostatic Interactions |
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181 | (23) |
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Van der Waals Interactions |
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204 | (8) |
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Many-body Effects in Empirical Potentials |
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212 | (2) |
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Effective Pair Potentials |
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214 | (1) |
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Hydrogen Bonding in Molecular Mechanics |
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215 | (1) |
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Force Field Models for the Simulation of Liquid Water |
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216 | (5) |
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United Atom Force Fields and Reduced Representations |
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221 | (4) |
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Derivatives of the Molecular Mechanics Energy Function |
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225 | (1) |
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Calculating Thermodynamic Properties Using a Force Field |
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226 | (2) |
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Force Field Parametrisation |
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228 | (3) |
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Transferability of Force Field Parameters |
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231 | (2) |
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The Treatment of Delocalised π Systems |
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233 | (1) |
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Force Fields for Inorganic Molecules |
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234 | (2) |
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Force Fields for Solid-state Systems |
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236 | (4) |
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Empirical Potentials for Metals and Semiconductors |
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240 | (13) |
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The Interaction Between Two Drude Molecules |
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246 | (1) |
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247 | (1) |
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247 | (6) |
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Energy Minimisation and Related Methods for Exploring the Energy Surface |
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253 | (50) |
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253 | (5) |
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Non-derivative Minimisation Methods |
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258 | (3) |
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Introduction to Derivative Minimisation Methods |
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261 | (1) |
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First-order Minimisation Methods |
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262 | (5) |
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Second Derivative Methods: The Newton-Raphson Method |
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267 | (1) |
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268 | (2) |
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Which Minimisation Method Should I Use? |
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270 | (3) |
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Application of Energy Minimisation |
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273 | (6) |
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Determination of Transition Structures and Reaction Pathways |
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279 | (16) |
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Solid-state Systems: Lattice Statics and Lattice Dynamics |
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295 | (8) |
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300 | (1) |
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301 | (2) |
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Computer Simulation Methods |
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303 | (50) |
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303 | (4) |
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Calculation of Simple Thermodynamic Properties |
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307 | (5) |
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312 | (3) |
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Practical Aspects of Computer Simulation |
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315 | (2) |
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317 | (4) |
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Monitoring the Equilibration |
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321 | (3) |
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Truncating the Potential and the Minimum Image Convention |
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324 | (10) |
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334 | (9) |
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Analysing the Results of a Simulation and Estimating Errors |
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343 | (10) |
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Basic Statistical Mechanics |
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347 | (1) |
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Heat Capacity and Energy Fluctuations |
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348 | (1) |
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The Real Gas Contribution to the Virial |
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349 | (1) |
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Translating Particle Back into Central Box for Three Box Shapes |
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350 | (1) |
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351 | (1) |
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351 | (2) |
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Molecular Dynamics Simulation Methods |
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353 | (57) |
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353 | (1) |
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Molecular Dynamics Using Simple Models |
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353 | (2) |
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Molecular Dynamics with Continuous Potentials |
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355 | (9) |
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Setting up and Running a Molecular Dynamics Simulation |
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364 | (4) |
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368 | (6) |
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Time-dependent Properties |
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374 | (8) |
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Molecular Dynamics at Constant Temperature and Pressure |
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382 | (5) |
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Incorporating Solvent Effects into Molecular Dynamics: Potentials of Mean Force and Stochastic Dynamics |
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387 | (5) |
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Conformational Changes from Molecular Dynamics Simulations |
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392 | (2) |
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Molecular Dynamics Simulations of Chain Amphiphiles |
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394 | (16) |
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Energy Conservation in Molecular Dynamics |
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405 | (1) |
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406 | (1) |
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406 | (4) |
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Monte Carlo Simulation Methods |
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410 | (47) |
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410 | (2) |
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Calculating Properties by Integration |
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412 | (2) |
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Some Theoretical Background to the Metropolis Method |
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414 | (3) |
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Implementation of the Metropolis Monte Carlo Method |
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417 | (3) |
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Monte Carlo Simulation of Molecules |
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420 | (3) |
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Models Used in Monte Carlo Simulations of Polymers |
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423 | (9) |
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`Biased' Monte Carlo Methods |
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432 | (1) |
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Tackling the Problem of Quasi-ergodicity: J-walking and Multicanonical Monte Carlo |
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433 | (5) |
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Monte Carlo Sampling from Different Ensembles |
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438 | (4) |
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Calculating the Chemical Potential |
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442 | (1) |
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The Configurational Bias Monte Carlo Method |
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443 | (7) |
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Simulating Phase Equilibria by the Gibbs Ensemble Monte Carlo Method |
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450 | (2) |
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Monte Carlo or Molecular Dynamics? |
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452 | (5) |
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The Marsaglia Random Number Generator |
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453 | (1) |
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454 | (1) |
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454 | (3) |
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457 | (52) |
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457 | (1) |
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Systematic Methods for Exploring Conformational Space |
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458 | (6) |
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Model-building Approaches |
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464 | (1) |
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465 | (2) |
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467 | (8) |
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Exploring Conformational Space Using Simulation Methods |
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475 | (1) |
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Which Conformational Search Method Should I Use? A Comparison of Different Approaches |
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476 | (1) |
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Variations on the Standard Methods |
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477 | (2) |
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Finding the Global Energy Minimum: Evolutionary Algorithms and Simulated Annealing |
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479 | (4) |
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Solving Protein Structures Using Restrained Molecular Dynamics and Simulated Annealing |
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483 | (6) |
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489 | (1) |
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490 | (1) |
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Clustering Algorithms and Pattern Recognition Techniques |
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491 | (6) |
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Reducing the Dimensionality of a Data Set |
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497 | (2) |
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Covering Conformational Space: Poling |
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499 | (2) |
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A `Classic' Optimisation Problem: Predicting Crystal Structures |
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501 | (8) |
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505 | (1) |
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506 | (3) |
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Protein Structure Prediction, Sequence Analysis and Protein Folding |
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509 | (54) |
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509 | (4) |
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Some Basic Principles of Protein Structure |
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513 | (4) |
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First-principles Methods for Predicting Protein Structure |
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517 | (5) |
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Introduction to Comparative Modelling |
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522 | (1) |
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522 | (17) |
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Constructing and Evaluating a Comparative Model |
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539 | (6) |
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Predicting Protein Structures by `Threading' |
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545 | (2) |
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A Comparison of Protein Structure Prediction Methods: CASP |
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547 | (2) |
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Protein Folding and Unfolding |
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549 | (14) |
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Some Common Abbreviations and Acronyms Used in Bioinformatics |
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553 | (2) |
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Some of the Most Common Sequence and Structural Databases Used in Bioinformatics |
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555 | (1) |
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Mutation Probability Matrix for 1 PAM |
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556 | (1) |
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Mutation Probability Matrix for 250 PAM |
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557 | (1) |
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557 | (1) |
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558 | (5) |
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Four Challenges in Molecular Modelling: Free Energies, Solvation, Reactions and Solid-state Defects |
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563 | (77) |
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563 | (1) |
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The Calculation of Free Energy Differences |
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564 | (5) |
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Applications of Methods for Calculating Free Energy Differences |
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569 | (5) |
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The Calculation of Enthalpy and Entropy Differences |
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574 | (1) |
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Partitioning the Free Energy |
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574 | (3) |
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Potential Pitfalls with Free Energy Calculations |
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577 | (3) |
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580 | (5) |
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Approximate/`Rapid' Free Energy Methods |
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585 | (7) |
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Continuum Representations of the Solvent |
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592 | (1) |
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The Electrostatic Contribution to the Free Energy of Solvation: The Born and Onsager Models |
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593 | (15) |
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Non-electrostatic Contributions to the Solvation Free Energy |
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608 | (1) |
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Very Simple Solvation Models |
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609 | (1) |
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Modelling Chemical Reactions |
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610 | (12) |
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Modelling Solid-state Defects |
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622 | (18) |
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Calculating Free Energy Differences Using Thermodynamic Integration |
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630 | (1) |
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Using the Slow Growth Method for Calculating Free Energy Differences |
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631 | (1) |
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Expansion of Zwanzig Expression for the Free Energy Difference for the Linear Response Method |
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631 | (1) |
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632 | (1) |
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633 | (7) |
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The Use of Molecular Modelling and Chemoinformatics to Discover and Design New Molecules |
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640 | (87) |
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Molecular Modelling in Drug Discovery |
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640 | (2) |
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Computer Representations of Molecules, Chemical Databases and 2D Substructure Searching |
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642 | (5) |
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647 | (1) |
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Deriving and Using Three-dimensional Pharmacophores |
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648 | (11) |
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Sources of Data for 3D Databases |
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659 | (2) |
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661 | (6) |
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Applications of 3D Database Searching and Docking |
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667 | (1) |
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Molecular Similarity and Similarity Searching |
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668 | (1) |
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668 | (12) |
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Selecting `Diverse' Sets of Compounds |
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680 | (7) |
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Structure-based De Novo Ligand Design |
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687 | (8) |
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Quantitative Structure-Activity Relationships |
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695 | (11) |
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706 | (5) |
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711 | (16) |
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719 | (1) |
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720 | (7) |
Index |
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727 | |