Parallelizable Strategy for the Estimation of the 3D Structure of Biological Macromolecules

We present a parallelizzable, multilevel algorithm for the study of three-dimensional structure of biological macromolecules, applied to two fundamental topics: the 3D reconstruction of Chromatin and the elaboration of motion of proteins. For Chromatin, starting from contact data obtained through Chromosome Conformation Capture techniques, our method first subdivides the data matrix in biologically relevant blocks, and then treats them separately, at several levels, depending on the initial data resolution. The result is a family of configurations for the entire fiber, each one compatible with both experimental data and prior knowledge about specific genomes. For Proteins, the method is conceived as a solution for the problem of identifying motion and alternative conformations to the deposited structures. The algorithm, using quaternions, processes the main chain and the aminoacid side chian independently; it then exploits a Monte Carlo method for selection of biologically acceptable conformations, based on energy evaluation, and finally returns a family of conformations and of trajectories at single atom resolution.

[1]  S. Bicciato,et al.  Comparison of computational methods for Hi-C data analysis , 2017, Nature Methods.

[2]  Ad Bax,et al.  Solution structure of calcium-free calmodulin , 1995, Nature Structural Biology.

[3]  Marc Baaden,et al.  Molecular simulations and visualization: introduction and overview. , 2014, Faraday discussions.

[4]  Mathieu Blanchette,et al.  Chromatin conformation signatures of cellular differentiation , 2009, Genome Biology.

[5]  Wouter Boomsma,et al.  Beyond rotamers: a generative, probabilistic model of side chains in proteins , 2010, BMC Bioinformatics.

[6]  Mathieu Blanchette,et al.  Three-dimensional modeling of chromatin structure from interaction frequency data using Markov chain Monte Carlo sampling , 2011, BMC Bioinformatics.

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

[8]  Anna Tonazzini,et al.  Estimation of the Spatial Chromatin Structure Based on a Multiresolution Bead-Chain Model , 2019, IEEE/ACM Transactions on Computational Biology and Bioinformatics.

[9]  Charles F. F. Karney Quaternions in molecular modeling. , 2005, Journal of molecular graphics & modelling.

[10]  J. Dekker,et al.  Capturing Chromosome Conformation , 2002, Science.

[11]  P. Kollman,et al.  A Second Generation Force Field for the Simulation of Proteins, Nucleic Acids, and Organic Molecules , 1995 .

[12]  Anna Tonazzini,et al.  Inferring 3D chromatin structure using a multiscale approach based on quaternions , 2015, BMC Bioinformatics.

[13]  Noam Kaplan,et al.  The Hitchhiker's guide to Hi-C analysis: practical guidelines. , 2015, Methods.

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

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