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The cutting edge of research in chemical physics Each volume of the Advances in Chemical Physics series discusses aspects of the state of diverse subjects in chemical physics and related fields, with chapters written by top researchers in the field. Reviews published in Advances in Chemical Physics are typically longer than those published in journals, providing the space needed for readers to fully grasp the topic, including fundamentals, latest discoveries, applications, and emerging avenues of research. Volume 155 explores: * Modeling viral capsid assembly * Charges at aqueous interfaces, including the development of computational approaches in direct contact with the experiment * Theory and simulation advances in solute precipitate nucleation * A computational viewpoint of water in the liquid state * Construction of energy functions for lattice heteropolymer models, including efficient encodings for constraint satisfaction programming and quantum annealing Advances in Chemical Physics is ideal for introducing novices to topics in chemical physics and serves as the perfect supplement to any advanced graduate class devoted to its study. The series also provides the foundation needed for more experienced researchers to advance research studies.

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CONTENTS

Cover

Editorial Board

Title Page

Copyright

Contributors to Volume 155

Preface to the Series

Chapter 1: Modeling Viral Capsid Assembly

I. Introduction

II. Thermodynamics of Capsid Assembly

III. Modeling Self-Assembly Dynamics and Kinetics of Empty Capsids

IV. Cargo-Containing Capsids

V. Outlook

References

Chapter 2: Charges at Aqueous Interfaces: Development of Computational Approaches in Direct Contact with Experiment

I. Introduction

II. Accounting for Polarizability Effects

III. Case Studies

IV. Outlook

References

Chapter 3: Solute Precipitate Nucleation: A Review of Theory and Simulation Advances

I. Introduction

II. Classical Nucleation Theory

III. Two-Step Nucleation Theory

IV. Simulation Challenges

V. Case Studies

VI. Closing Remarks

References

Chapter 4: Water in the Liquid State: A Computational Viewpoint

I. Introduction

II. Potential Energy Functions for Liquid Water

III. Multipoles

IV. The Water Molecule in the Pure Liquid

V. Liquid Water

VI. Aqueous Solutions

VII. Conclusions

References

Chapter 5: Construction of Energy Functions for Lattice Heteropolymer Models: Efficient Encodings for Constraint Satisfaction Programming and Quantum Annealing

I. Introduction

II. The “Turn” Encoding of Self-Avoiding Walks

III. The “Diamond” Encoding of SAWs

IV. Pseudo-Boolean Function to W-SAT

V. W-SAT to Integer–Linear Programming

VI. Locality Reductions

VII. Quantum Realization

VIII. Conclusions

References

Author Index

Subject Index

End User License Agreement

List of Tables

Table I

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Table VIII

Table I

List of Illustrations

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Guide

Cover

Table of Contents

Preface to the Series

Chapter 1

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Editorial Board

Kurt Binder, Condensed Matter Theory Group, Institut Für Physik, Johannes Gutenberg-Universität, Mainz, Germany

William T. Coffey, Department of Electronic and Electrical Engineering, Printing House, Trinity College, Dublin, Ireland

Karl F. Freed, Department of Chemistry, James Franck Institute, University of Chicago, Chicago, Illinois, USA

Daan Frenkel, Department of Chemistry, Trinity College, University of Cambridge, Cambridge, UK

Pierre Gaspard, Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Brussels, Belgium

Martin Gruebele, Departments of Physics and Chemistry, Center for Biophysics and Computational Biology, University of Illinois at Urbana-Champaign, Urbana, Illinois, USA

Gerhard Hummer, Theoretical Biophysics Section, NIDDK-National Institutes of Health, Bethesda, Maryland, USA

Ronnie Kosloff, Department of Physical Chemistry, Institute of Chemistry and Fritz Haber Center for Molecular Dynamics, The Hebrew University of Jerusalem, Israel

Ka Yee Lee, Department of Chemistry, James Franck Institute, University of Chicago, Chicago, Illinois, USA

Todd J. Martinez, Department of Chemistry, Photon Science, Stanford University, Stanford, California, USA

Shaul Mukamel, Department of Chemistry, School of Physical Sciences, University of California, Irvine, California, USA

Jose N. Onuchic, Department of Physics, Center for Theoretical Biological Physics, Rice University, Houston, Texas, USA

Stephen Quake, Department of Bioengineering, Stanford University, Palo Alto, California, USA

Mark Ratner, Department of Chemistry, Northwestern University, Evanston, Illinois, USA

David Reichman, Department of Chemistry, Columbia University, New York City, New York, USA

George Schatz, Department of Chemistry, Northwestern University, Evanston, Illinois, USA

Steven J. Sibener, Department of Chemistry, James Franck Institute, University of Chicago, Chicago, Illinois, USA

Andrei Tokmakoff, Department of Chemistry, James Franck Institute, University of Chicago, Chicago, Illinois, USA

Donald G. Truhlar, Department of Chemistry, University of Minnesota, Minneapolis, Minnesota, USA

John C. Tully, Department of Chemistry, Yale University, New Haven, Connecticut, USA

Advances in Chemical Physics

Volume 155

Edited by

Stuart A. Rice

Department of ChemistryandThe James Franck InstituteThe University of ChicagoChicago, Illinois

Aaron R. Dinner

Department of ChemistryandThe James Franck InstituteThe University of ChicagoChicago, Illinois

Copyright 2014 by John Wiley & Sons, Inc. All rights reserved.

Published by John Wiley & Sons, Inc., Hoboken, New Jersey.

Published simultaneously in Canada.

No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 750-4470, or on the web at www.copyright.com. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008, or online at http://www.wiley.com/go/permission.

Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in preparing this book, they make no representations or warranties with respect to the accuracy or completeness of the contents of this book and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives or written sales materials. The advice and strategies contained herein may not be suitable for your situation. You should consult with a professional where appropriate. Neither the publisher nor author shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages.

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Library of Congress Catalog Number: 58-9935

ISBN: 978-1-118-75577-8

Contributors to Volume 155

Vishal Agarwal, Department of Chemical Engineering, University of California, Santa Barbara, CA 93106, USA

Alan Aspuru -Guzik, Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, MA 02138, USA

Ryan Babbush, Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, MA 02138, USA

Michael F. Hagan, Department of Physics, Brandeis University, MS057, Waltham, MA 02454, USA

Toshiko Ichiye, Department of Chemistry, Georgetown University, Washington, DC 20057-1227, USA

Pavel Jungwirth, Institute of Organic Chemistry and Biochemistry, Academy of Sciences of the Czech Republic, Flemingovo nám. 2, 16610 Prague 6, Czech Republic

William Macready, D-Wave Systems, Inc., 100-4401 Still Creek Drive, Burnaby, British Columbia V5C 6G9, Canada

Bryan O'Gorman, Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, MA 02138, USA

Alejandro Perdomo -Ortiz, Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, MA 02138, USA; NASA Ames Quantum Laboratory, Ames Research Center, Moffett Field, CA 94035, USA

Baron Peters, Department of Chemical Engineering; Department of Chemistry and Biochemistry, University of California, Santa Barbara, CA 93106, USA

Frank Uhlig, Institute of Organic Chemistry and Biochemistry, Academy of Sciences of the Czech Republic, Flemingovo nám. 2, 16610 Prague 6, Czech Republic

Robert Vácha, National Centre for Biomolecular Research, Faculty of Science and CEITEC—Central European Institute of Technology, Masaryk University, Kamenice 5, 62500 Brno-Bohunice, Czech Republic

Preface to the Series

Advances in science often involve initial development of individual specialized fields of study within traditional disciplines followed by broadening and overlap, or even merging, of those specialized fields, leading to a blurring of the lines between traditional disciplines. The pace of that blurring has accelerated in the past few decades, and much of the important and exciting research carried out today seeks to synthesize elements from different fields of knowledge. Examples of such research areas include biophysics and studies of nanostructured materials. As the study of the forces that govern the structure and dynamics of molecular systems, chemical physics encompasses these and many other emerging research directions. Unfortunately, the flood of scientific literature has been accompanied by losses in the shared vocabulary and approaches of the traditional disciplines, and there is much pressure from scientific journals to be ever more concise in the descriptions of studies, to the point that much valuable experience, if recorded at all, is hidden in supplements and dissipated with time. These trends in science and publishing make this series, Advances in Chemical Physics, a much needed resource.

The Advances in Chemical Physics is devoted to helping the reader obtain general information about a wide variety of topics in chemical physics, a field that we interpret very broadly. Our intent is to have experts present comprehensive analyses of subjects of interest and to encourage the expression of individual points of view. We hope that this approach to the presentation of an overview of a subject will both stimulate new research and serve as a personalized learning text for beginners in a field.

Stuart A. Rice

Aaron R. Dinner

Modeling Viral Capsid Assembly

Michael F. Hagan

Department of Physics, Brandeis University, MS057, Waltham, MA 02454, USA

Introduction

Virus Anatomies

Virus Assembly

Experiments That Characterize Capsid Assembly

Motivation for and Scope of Modeling

Thermodynamics of Capsid Assembly

Driving Forces

Law of Mass Action

Estimating Binding Energies from Experiments

Modeling Self-Assembly Dynamics and Kinetics of Empty Capsids

Timescales for Capsid Assembly

Scaling Estimates for Assembly Timescales

Lag Times

The Slow Approach to Equilibrium

Rate Equation Models for Capsid Assembly

Particle-Based Simulations of Capsid Assembly Dynamics

Conclusions from Assembly Dynamics Models

Differences Among Models

Higher

T

Numbers

Structural Stability of Different Capsid Geometries

Dynamics of Forming Icosahedral Geometries

Cargo-Containing Capsids

Structures

The Thermodynamics of Core-Controlled Assembly

Single-Stranded RNA Encapsidation

Dynamics of Assembly Around Cores

Outlook

References

I. Introduction

The formation of a virus is a marvel of natural selection. A large number (60–10,000) of protein subunits and other components assemble into complete, reproducible structures, often with extreme fidelity, on a biologically relevant time scale. Viruses play a role in a significant portion of human diseases, as well as those of other animals, plants, and bacteria. Thus, it is of great interest to understand their formation process, with the goal of developing novel antivirus therapies that can block it, or alternatively to re-engineer viruses as drug delivery vehicles that can assemble around their cargo and disassemble to deliver it without requiring explicit external control. More fundamentally, learning the factors that make viral assembly so robust could advance the development of self-assembling nanostructured materials.

This chapter focuses on the use of theoretical and computational modeling to understand the viral assembly process. We begin with brief overviews of virus structure, assembly, and the experiments used to characterize the assembly process (Section I). We next perform an equilibrium analysis of the assembly of empty protein shells in Section II. In Section III, we then present a simple mathematical representation of the assembly process and its relevant timescales, followed by several types of modeling approaches that have been used to analyze and predict in vitro assembly kinetics. We then extend the equilibrium and dynamical approaches to consider the co-assembly of capsid proteins with RNA or other polyanionic cargoes in Section IV. Finally, we conclude with some of the important open questions and ways in which modeling can make a stronger connection with experiments.

In the interests of thoroughly examining the capsid assembly process, this chapter will not consider a number of interesting topics such as the structural dynamics of complete capsids (e.g., [1–4]), capsid swelling or maturation transitions (e.g., [5–13]), mechanical probing of assembled capsids (e.g., [10,14–24]), motor-driven packaging of double-stranded DNA (dsDNA) into assembled procapsids (e.g., [25–31], reviewed in Refs. [32–34]), or the conformations of dsDNA inside capsids (e.g., [35–37]).

A. Virus Anatomies

Viruses consist of at least two types of components: the genome, which can be DNA or RNA and can be single or double stranded, and a protein shell called a capsid that surrounds and protects the fragile nucleic acid. Viruses vary widely in complexity, ranging from satellite tobacco mosaic virus (STMV), whose 1063-nucleotide genome encodes for two proteins including the capsid protein [38], to the giant Megavirus, with a 1,259,197 bp genome encoding for 1120 putative proteins [39], that is larger than some bacterial genomes and encased in two capsids and a lipid bilayer. Viruses such as Megavirus that acquire a lipid bilayer coating from the plasma membrane or an interior cell compartment of the host organism are known as “enveloped” viruses, whereas viruses such as STMV that present a naked protein exterior are termed “nonenveloped.” Since Harrison et al. achieved the first atomic-resolution structure of tomato bushy stunt virus (TBSV) in 1978 [40], structures of numerous virus capsids have been revealed to atomic resolution by X-ray crystallography and/or cryo-electron microscopy (cryo-EM) images. An extensive collection of virus structures can be found at the VIPERdb virus particle explorer web site () [41].

Lesen Sie weiter in der vollständigen Ausgabe!

Lesen Sie weiter in der vollständigen Ausgabe!

Lesen Sie weiter in der vollständigen Ausgabe!

Lesen Sie weiter in der vollständigen Ausgabe!

Lesen Sie weiter in der vollständigen Ausgabe!

Lesen Sie weiter in der vollständigen Ausgabe!

Lesen Sie weiter in der vollständigen Ausgabe!