Active dynamics and spatially coherent motion in chromosomes subject to enzymatic force dipoles

Abstract

Inspired by recent experiments on chromosomal dynamics, we introduce an exactly solvable model for the interaction between a flexible polymer and a set of motor-like enzymes. The enzymes can bind and unbind to specific sites of the polymer and when bound produce a dipolar force on two neighboring monomers. We study the resulting non-equilibrium dynamics of the polymer and find that the motion of the monomers has several properties that were observed experimentally for chromosomal loci: a subdiffusive mean squared displacement and the appearance of regions of correlated motion. We also determine the velocity autocorrelation of the monomers and find that the underlying stochastic process is not fractional Brownian motion. Finally, we show that the active forces swell the polymer by an amount that becomes constant for large polymers.

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Cited by in corpus (13)

• Effects of active fluctuations on energetics of a colloidal particle: superdiffusion, dissipation and entropy production
• Transcription-induced active forces suppress chromatin motion
• Non-Gaussian anomalous dynamics in systems of interacting run-and-tumble particles
• A Polymer Chain with Dipolar Active Forces in Connection to Spatial Organization of Chromatin
• Self-induced hydrodynamic coil-stretch transition of active polymers
• Nonequilibrium diffusion of active particles bound to a semi-flexible polymer network: simulations and fractional Langevin equation
• Delayed excitations induce polymer looping and coherent motion
• Dynamical crossovers and correlations in a harmonic chain of active particles
• Conformational statistics of non-equilibrium polymer loops in Rouse model with active loop extrusion
• Folding-unfolding transition of active polymer on the reconfiguration of bidirectional tangential active force
• Phase separation in soft repulsive polymer mixtures: foundation and implication for chromatin organization
• Quantifying the mobility of chromatin during embryogenesis: Nuclear size matters
• Active dynamics of charged macromolecules