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Modeling the 3D Conformation of Genomes Series in Computational Biophysics Series Editor Nikolay Dokholyan Molecular Modeling at the Atomic Scale Methods and Applications in Quantitative Biology Ruhong Zhou Coarse-Grained Modeling of Biomolecules Garegin A. Papoian Computational Approaches to Protein Dynamics From Quantum to Coarse-Grained Methods Monika Fuxreiter Modeling the 3D Conformation of Genomes Guido Tiana, Luca Giorgetti For more information about this series, please visit: [www.crcpress.com/Series-in-Computational-Biophysics/book-series/CRCSERCOMBIO] Modeling the 3D Conformation of Genomes Edited By Tiana Guido Luca Giorgetti CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2019 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Printed on acid-free paper International Standard Book Number-13: 978-1-138-50079-2 (Hardback) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the validity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint. Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, reproduced, trans- mitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information storage or retrieval system, without written permission from the publishers. For permission to photocopy or use material electronically from this work, please access www.copyright. com (http://www.copyright.com/) or contact the Copyright Clearance Center, Inc. (CCC), 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400. CCC is a not-for-profit organization that provides licenses and registration for a variety of users. For organizations that have been granted a photocopy license by the CCC, a separate system of payment has been arranged. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe. Library of Congress Cataloging‑ in‑ Publication Data Names: Tiana, G. (Guido), author. Title: Modeling the 3D conformation of genomes / Guido Tiana, Luca Giorgetti. Description: Boca Raton : Taylor & Francis, 2018. | Series: Series in computational biophysics ; 4 | Includes bibliographical references. Identifiers: LCCN 2018030735 | ISBN 9781138500792 (hardback : alk. paper) Subjects: LCSH: Genomes--Data processing. | Genomics--Technological innovations. Classification: LCC QH447 .T53 2018 | DDC 572.8/6--dc23 LC record available at https://lccn.loc.gov/2018030735 Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com Contents Preface vii Editor xi Contributors xiii 1 Chromosome Folding: Contributions of Chromosome Conformation Capture and Polymer Physics 1 Job Dekker Part 1 FIrSt-PrINCIPLES MODELS 19 2 Modeling the Functional Coupling between 3D Chromatin Organization and Epigenome 21 Cédric Vaillant and Daniel Jost 3 The Strings and Binders Switch Model of Chromatin 57 Simona Bianco, Andrea M. Chiariello, Carlo Annunziatella, Andrea Esposito, Luca Fiorillo, and Mario Nicodemi 4 Loop Extrusion: A Universal Mechanism of Chromosome Organization 69 Leonid A. Mirny and Anton Goloborodko 5 Predictive Models for 3D Chromosome Organization: The Transcription Factor and Diffusive Loop Extrusion Models 97 C. A. Brackley, M. C. Pereira, J. Johnson, D. Michieletto, and D. Marenduzzo 6 Introducing Supercoiling into Models of Chromosome Structure 115 Fabrizio Benedetti, Dusan Racko, Julien Dorier, and Andrzej Stasiak 7 Structure and Microrheology of Genome Organization: From Experiments to Physical Modeling 139 Andrea Papale and Angelo Rosa 8 Analysis of Chromatin Dynamics and Search Processes in the Nucleus 177 Assaf Amitai and David Holcman v vi Contents 9 Chromosome Structure and Dynamics in Bacteria: Theory and Experiments 207 Marco Gherardi, Vittore Scolari, Remus Thei Dame, and Marco Cosentino Lagomarsino Part 2 Data-DrIVEN MODELS 231 10 Restraint-Based Modeling of Genomes and Genomic Domains 233 Marco Di Stefano and Marc A. Marti-Renom 11 Genome Structure Calculation through Comprehensive Data Integration 253 Guido Polles, Nan Hua, Asli Yildirim, and Frank Alber 12 Modeling the Conformational Ensemble of Mammalian Chromosomes from 5C/Hi-C Data 285 Guido Tiana and Luca Giorgetti 13 Learning Genomic Energy Landscapes from Experiments 305 Michele Di Pierro, Ryan R. Cheng, Bin Zhang, José N. Onuchic, and Peter G. Wolynes 14 Physical 3D Modeling of Whole Genomes: Exploring Chromosomal Organization Properties and Principles 331 Marco Di Stefano, Jonas Paulsen, Eivind Hovig, and Cristian Micheletti Index 361 Preface Characterizing the three-dimensional organization of chromosomes, as well as its mechanistic determinants, are central topics in contemporary science. Besides the curiosity towards fundamental questions such as how meters of DNA are folded inside every cell nucleus in our body, the quest for a compre- hensive characterization of chromosome structure is animated by the urge to better understand gene expression. Indeed, many genes in mammalian genomes are controlled by regulatory DNA sequences such as transcriptional enhancers , which can be located at very large genomic distances from their target genes. Although the exact molecular details of their functional interactions are only partially understood, a large body of experimental evidence suggests that enhanc- ers control transcription by physically contacting their target genes and looping out intervening DNA. Thus, it is crucial to understand how chromosomes are folded, which molecular mechanisms control their structure, and how chromo- some architecture evolves in time, especially in large and complex genomes such as ours, where the vast majority of DNA sequence does not encode protein-cod- ing genes. These questions are intrinsically quantitative, and lie at the interface between molecular biology and biophysics. The last two decades have witnessed a revolution in our understanding of chro- mosome structure, which has been fueled by the development and refinement of a class of experimental techniques known as chromosome conformation capture (3C) and its derivatives such as 4C, 5C and Hi-C. In 3C and its derivatives, bio- chemical manipulation of fixed cell populations allows to measure population- averaged contact probabilities within chromosomes, which can be plotted in the form of two-dimensional matrices describing the contact propensities of the chromatin fiber. Several different 3C-based techniques have allowed spectacu- lar discoveries, such as the existence of complex, highly non-random patterns of interactions across mammalian chromosomes that span several orders of mag- nitude in genomic length and range from ‘ loops’ connecting DNA loci separated by few tens of kilobases, all the way up to huge, multi-megabase ‘ compartments’ reflecting the association of transcribed and repressed parts of the genome, themselves subdivided in topologically associating domains (TADs) correspond- ing to sub-megabase domains of preferential interactions of the chromatin fiber. Many of these structures have been validated using independent methods, and vii viii P reface notably using single-cell approaches that measure distances between genomic locations such as DNA fluorescence in situ hybridization (DNA FISH). However, the mechanisms that drive the formation of such a complex patter of interactions are still only poorly understood. A fascinating aspect of chromosomal contact probabilities measured in 3C-based experiments is that they obey the same power-law scaling rules that can be often encountered in statistical physics, and in its application to polymers. In fact, even since the advent of 3C, polymer physics has played a key role in inter- preting the experimental data. Polymer models have been extensively used to test hypotheses concerning the mechanisms that give rise to the observed experi- mental phenomenology, and for solving the inverse problem of determining the three-dimensional shape of the chromatin fiber that gives rise to the observed contact probabilities. This volume aims at giving an overview of the computa- tional methods that have been developed to study chromosome structure, and have been motivated by the ever-growing amount of experimental data based on 3C methods as well as single-cell techniques such as DNA FISH. In Chapter 1, Job Dekker reviews the technical and conceptual bases of 3C and its derivative techniques such as 5C and Hi-C, which were developed in his laboratory. This ‘ experimental’ chapter is accessible to non-biologists and nicely describes how 3C-based methods laid the foundation for the current under- standing of chromosome architecture, and eventually enabled to build and test physical models of chromosome folding. The remaining chapters in this volume are divided into two groups. Chapters 2–9 describe models that follow a ‘ bottom-up’ approach, where explicit hypoth- eses regarding the biophysical mechanisms driving chromosomal interactions are made, and model predictions are compared with experiments in order to test the validity of the underlying hypotheses. Chapters 10–14 instead describe ‘ top-down’ modeling approaches, which start from the experimental data to derive models describing various properties of chromosome folding. This parti- tion is convenient, but obviously only partially accurate. The cell nucleus is such a complex system that describing chromosome organization and dynamics in terms of purely ab initio models seems totally unrealistic. All current mechanis- tic, bottom-up chromosome folding models are markedly inspired by available experimental data, and Hi-C data in particular. On the other hand, top-down modeling strategies contain nontrivial assumptions concerning the interpreta- tion of 3C-based data in terms of physical distances and/or contact probabilities, which in turn depend on more or less implicit hypotheses concerning chromo- some folding mechanisms. The first nine chapters on bottom-up approaches emphasize and combine dif- ferent physical ingredients in order to reproduce the experimental data (namely the presence of loops, TADs and compartments in Hi-C data), predict the out- come of new experiments and learn the basic rules that control chromosomes in cell nuclei. In Chapter 2, Cé dric Vaillant and Daniel Jost describe a model based on direct interaction between genomic locations, which depend on local chroma- tin modifications, which is able to accurately predict the outcome of Hi-C experi- ments in Drosophila based on the physics of block co-polymers. Mario Nicodemi Preface ix and coworkers (Chapter 3) focus instead on the role of diffusing molecules that mediate interactions between chromosomal loci, mimicking the effect of nuclear proteins that might promote direct looping across chromosomes. In Chapter 4, Leonid Mirny and colleagues discuss the highly influential loop-extrusion model, which incorporates hypotheses on how the DNA-binding proteins CTCF and cohesin promote the formation of out-of-equilibrium, ATP-driven interac- tions across mammalian genomes. A combination of the diffusing-molecule and loop-extrusion models (in a version where the loop extruding factors diffuse in an ATP-independent manner) is discussed in Chapter 5 by Davide Marenduzzo and coworkers. Irrespective of the mechanisms that drive loops and higher-order structures in a site-specific manner, a ubiquitous phenomenon that is likely to impact the three-dimensional folding of genomic DNA is torsional stress (known as super- coiling) generated by active biological processes and notably transcription through RNA polymerases. In Chapter 6, Andrzej Stasiak and coworkers show that models describing supercoiling can predict the formation of chromosomal domains such as TADs, and can also be integrated with loop extrusion. Chapters 7 and 8 focus on the temporal dynamics of chromosome folding. Starting from hypotheses on the physical mechanism controlling the structure of chromosomes, Andrea Papale and Angelo Rosa discuss the dynamics of a poly- mer model subject to topological constraints (Chapter 7). A dynamic polymer model controlled by local interactions and physical confinement is described by Assaf Amitai and David Holcman in Chapter 8, along with its application to study the dynamics of chromosomal loci in budding yeast. Finally, Chapter 9 describes a polymer model designed to describe the dynamics of bacterial genomes, and how its predictions can be extended to higher organisms. Chapters in the second part of the book describe ‘ data-driven’ models that use different strategies for interpreting experimental 3C-based data in terms of physical conformations of the chromatin fiber. Marco Di Stefano and Marc Marti-Renom review in Chapter 10 how to derive three-dimensional models of chromosomes by implementing spatial restraints derived from Hi-C data. Frank Alber and coworkers discuss in Chapter 11 how it is possible to integrate experi- mental data generated using multiple experimental techniques to build models of chromosome structure. We discuss in Chapter 12 a maximum-entropy approach allowing to extract the full equilibrium ensemble of conformations giving rise to 5C or Hi-C data at the TAD level, and to make predictions regarding statistical and dynamical properties of chromosome conformation, which can be validated experimen- tally. A similar maximum-entropy approach developed by Peter Wolynes, José Onuchic and coworkers is described in Chapter 13, with a focus on the energy landscape of the model. Finally, Christian Micheletti and coworkers review in Chapter 14 a restraint-based approach allowing to extract the structure of entire chromosomes from Hi-C dataset. The chapters in this volume give a comprehensive overview of the state-of- the-art of computational research in the area of chromosome conformation and nuclear structure, and testify to how theoretical work is instrumental in reaching

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