Molecular Dynamics simulations of the Strings and Binders Switch model of chromatin.

In recent years interest has grown on the applications of polymer physics to model chromatin folding in order to try to make sense of the complexity of experimental data emerging from new technologies such as Hi-C or GAM, in a principled way. Here we review the methods employed to efficiently implement Molecular Dynamics computer simulations of polymer models, focusing in particular on the String&Binders Switch (SBS) model. The constant improvement of such methods and computer power is returning increasingly more accurate insights on the structure and molecular mechanisms underlying the spatial organization of chromosomes in the cell nucleus. We aim to provide an account of the state of the art of computational techniques employed in this type of investigations and to review recent applications of such methods to the description of real genomic loci, such as the Sox9 locus in mESC.

[1]  Reza Kalhor,et al.  Genome architectures revealed by tethered chromosome conformation capture and population-based modeling , 2011, Nature Biotechnology.

[2]  Mario Nicodemi,et al.  Thermodynamic pathways to genome spatial organization in the cell nucleus. , 2009, Biophysical journal.

[3]  A. Tanay,et al.  Cell-cycle dynamics of chromosomal organisation at single-cell resolution , 2016, Nature.

[4]  Neva C. Durand,et al.  Chromatin extrusion explains key features of loop and domain formation in wild-type and engineered genomes , 2015, Proceedings of the National Academy of Sciences.

[5]  Dieter W. Heermann,et al.  Chromatin folding – from biology to polymer models and back , 2011, Journal of Cell Science.

[6]  M. Nicodemi,et al.  Polymer models of the hierarchical folding of the Hox-B chromosomal locus. , 2016, Physical review. E.

[7]  Daniel Jost,et al.  Modeling epigenome folding: formation and dynamics of topologically associated chromatin domains , 2014, Nucleic acids research.

[8]  Andre J. Faure,et al.  3D structure of individual mammalian genomes studied by single cell Hi-C , 2017, Nature.

[9]  C Cremer,et al.  Radial arrangement of chromosome territories in human cell nuclei: a computer model approach based on gene density indicates a probabilistic global positioning code. , 2004, Biophysical journal.

[10]  T. Cremer,et al.  Dynamic genome architecture in the nuclear space: regulation of gene expression in three dimensions , 2007, Nature Reviews Genetics.

[11]  A. Tanay,et al.  Three-Dimensional Folding and Functional Organization Principles of the Drosophila Genome , 2012, Cell.

[12]  A. Scialdone,et al.  Polymer physics, scaling and heterogeneity in the spatial organisation of chromosomes in the cell nucleus , 2013 .

[13]  Amos Tanay,et al.  Chromosomal domains: epigenetic contexts and functional implications of genomic compartmentalization. , 2013, Current opinion in genetics & development.

[14]  J. Banavar,et al.  Computer Simulation of Liquids , 1988 .

[15]  S. Q. Xie,et al.  Hierarchical folding and reorganization of chromosomes are linked to transcriptional changes in cellular differentiation , 2015, Molecular systems biology.

[16]  D. Marenduzzo,et al.  Non-equilibrium chromosome looping via molecular slip-links , 2016, bioRxiv.

[17]  Dieter W. Heermann,et al.  Diffusion-Driven Looping Provides a Consistent Framework for Chromatin Organization , 2010, PloS one.

[18]  Jeffrey W. Roberts,et al.  遺伝子の分子生物学 = Molecular biology of the gene , 1970 .

[19]  A. Lesne,et al.  3D genome reconstruction from chromosomal contacts , 2014, Nature Methods.

[20]  L. Mirny,et al.  Formation of Chromosomal Domains in Interphase by Loop Extrusion , 2015, bioRxiv.

[21]  L. Pennacchio,et al.  Genetic dissection of the α-globin super-enhancer in vivo , 2016, Nature Genetics.

[22]  Bas van Steensel,et al.  Genome Architecture: Domain Organization of Interphase Chromosomes , 2013, Cell.

[23]  A. Visel,et al.  Disruptions of Topological Chromatin Domains Cause Pathogenic Rewiring of Gene-Enhancer Interactions , 2015, Cell.

[24]  Steve Plimpton,et al.  Fast parallel algorithms for short-range molecular dynamics , 1993 .

[25]  Simona Bianco,et al.  Predicting chromatin architecture from models of polymer physics , 2017, Chromosome Research.

[26]  Davide Marenduzzo,et al.  Simulated binding of transcription factors to active and inactive regions folds human chromosomes into loops, rosettes and topological domains , 2016, Nucleic acids research.

[27]  T. Misteli Beyond the Sequence: Cellular Organization of Genome Function , 2011 .

[28]  Jinbo Xu,et al.  Inferential modeling of 3D chromatin structure , 2015, Nucleic acids research.

[29]  L. Mirny,et al.  The 3D Genome as Moderator of Chromosomal Communication , 2016, Cell.

[30]  Victor O. Leshyk,et al.  The 4D nucleome project , 2017, Nature.

[31]  Critical behavior and axis defining symmetry breaking in Hydra embryonic development. , 2012, Physical review letters.

[32]  J. Lawrence,et al.  The three-dimensional folding of the α-globin gene domain reveals formation of chromatin globules , 2011, Nature Structural &Molecular Biology.

[33]  Jennifer E. Phillips-Cremins,et al.  Architectural Protein Subclasses Shape 3D Organization of Genomes during Lineage Commitment , 2013, Cell.

[34]  S. Mundlos,et al.  Formation of new chromatin domains determines pathogenicity of genomic duplications , 2016, Nature.

[35]  Neva C. Durand,et al.  A 3D Map of the Human Genome at Kilobase Resolution Reveals Principles of Chromatin Looping , 2014, Cell.

[36]  Daniel S. Day,et al.  Activation of proto-oncogenes by disruption of chromosome neighborhoods , 2015, Science.

[37]  J. Sedat,et al.  Spatial partitioning of the regulatory landscape of the X-inactivation centre , 2012, Nature.

[38]  Helmut Schiessel,et al.  The physics behind the larger scale organization of DNA in eukaryotes , 2009, Physical biology.

[39]  Mario Nicodemi,et al.  Models of chromosome structure. , 2014, Current opinion in cell biology.

[40]  Jesse R. Dixon,et al.  Topological Domains in Mammalian Genomes Identified by Analysis of Chromatin Interactions , 2012, Nature.

[41]  J. Dekker,et al.  Predictive Polymer Modeling Reveals Coupled Fluctuations in Chromosome Conformation and Transcription , 2014, Cell.

[42]  Simona Bianco,et al.  Polymer physics of chromosome large-scale 3D organisation , 2016, Scientific Reports.

[43]  Mario Nicodemi,et al.  Complexity of chromatin folding is captured by the strings and binders switch model , 2012, Proceedings of the National Academy of Sciences.

[44]  I. Amit,et al.  Comprehensive mapping of long range interactions reveals folding principles of the human genome , 2011 .

[45]  Ralf Everaers,et al.  Structure and Dynamics of Interphase Chromosomes , 2008, PLoS Comput. Biol..

[46]  M. Nicodemi,et al.  A Polymer Physics Investigation of the Architecture of the Murine Orthologue of the 7q11.23 Human Locus , 2017, Front. Neurosci..

[47]  S. Q. Xie,et al.  Active and poised promoter states drive folding of the extended HoxB locus in mouse embryonic stem cells , 2017, Nature Structural &Molecular Biology.

[48]  S. Q. Xie,et al.  Complex multi-enhancer contacts captured by Genome Architecture Mapping (GAM) , 2017, Nature.

[49]  G. Grest,et al.  Dynamics of entangled linear polymer melts: A molecular‐dynamics simulation , 1990 .