Abstract

The bacterial genome is organized by a variety of associated proteins inside a structure called the nucleoid. These proteins can form complexes on DNA that play a central role in various biological processes, including chromosome segregation. A prominent example is the large ParB-DNA complex, which forms an essential component of the segregation machinery in many bacteria. ChIP-Seq experiments show that ParB proteins localize around centromere-like parS sites on the DNA to which ParB binds specifically, and spreads from there over large sections of the chromosome. Recent theoretical and experimental studies suggest that DNA-bound ParB proteins can interact with each other to condense into a coherent 3D complex on the DNA. However, the structural organization of this protein-DNA complex remains unclear, and a predictive quantitative theory for the distribution of ParB proteins on DNA is lacking. Here, we propose the looping and clustering model, which employs a statistical physics approach to describe protein-DNA complexes. The looping and clustering model accounts for the extrusion of DNA loops from a cluster of interacting DNA-bound proteins that is organized around a single high-affinity binding site. Conceptually, the structure of the protein-DNA complex is determined by a competition between attractive protein interactions and loop closure entropy of this protein-DNA cluster on the one hand, and the positional entropy for placing loops within the cluster on the other. Indeed, we show that the protein interaction strength determines the ‘tightness’ of the loopy protein-DNA complex. Thus, our model provides a theoretical framework for quantitatively computing the binding profiles of ParB-like proteins around a cognate (parS) binding site.

Highlights

  • Understanding the biophysical principles that govern chromosome structure in both eukaryotic and prokaryotic cells remains an outstanding challenge [1,2,3,4,5,6,7]

  • To resolve the puzzle of how ParB proteins organize around a parS site, we recently introduced a novel theoretical framework to study the collective behavior of interacting proteins that can bind to a DNA polymer [29]

  • We showed that a combination of such a 3D bridging bond and 1D spreading bonds between ParB proteins constitutes a minimal model for the condensation of ParB proteins on DNA into a coherent complex [29], consistent

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Summary

INTRODUCTION

Understanding the biophysical principles that govern chromosome structure in both eukaryotic and prokaryotic cells remains an outstanding challenge [1,2,3,4,5,6,7]. Neither of these two existing approaches provide a simple way of computing ParB binding profiles around parS sites over the full relevant range of system parameters It remains unclear how the Spreading & Bridging model and the Stochastic Binding model relate to each other. An accounts for the competition between the positional enearly study of the distribution of ParB proposed that tropy associated with placing the loops on the cluster, ParB proteins spread from the parS sequence by nearest- which favours a looser cluster configuration, and both neighbor interactions, forming a continuous filament-like protein-protein interactions and loop closure entropy, structure along the DNA [28] This model was termed which tend to favour a compact cluster. Our approach can be used to estimate molecular interactions between proteins from experimentally determined protein binding profiles

THE LOOPING AND CLUSTERING MODEL
PROFILE OF PAR B FOR FIXED NUMBER AND SIZES OF LOOPS
PROTEIN BINDING PROFILES AND STATISTICS OF THE LOOPING AND CLUSTERING MODEL
DISCUSSION
Findings
Numerical integration
Full Text
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