Theory and simulations of condensin mediated loop extrusion in DNA

Condensation of hundreds of mega-base-pair-long human chromosomes in a small nuclear volume is a spectacular biological phenomenon. This process is driven by the formation of chromosome loops. The ATP consuming motor, condensin, interacts with chromatin segments to actively extrude loops. Motivated by real-time imaging of loop extrusion (LE), we created an analytically solvable model, predicting the LE velocity and step size distribution as a function of external load. The theory fits the available experimental data quantitatively, and suggests that condensin must undergo a large conformational change, induced by ATP binding, bringing distant parts of the motor to proximity. Simulations using a simple model confirm that the motor transitions between an open and a closed state in order to extrude loops by a scrunching mechanism, similar to that proposed in DNA bubble formation during bacterial transcription. Changes in the orientation of the motor domains are transmitted over similar to 50 nm, connecting the motor head and the hinge, thus providing an allosteric basis for LE. How chromosomes, which are polymers with nearly billion base pairs, are packaged in the restricted nuclear volume is not well understood. Here, the authors combine polymer physics, nonequilibrium fluctuation theorem, and simulations to quantitatively predict the force-dependent velocity and step-size distribution of condensin, which facilitates the folding of chromosomes by loop extrusion.

Automated summary

The study combines modeling and simulations to predict the force-dependent velocity and step-size distribution of condensin in loop extrusion. The results suggest that a large conformational change in condensin is necessary for extruding chromosome loops, providing an allosteric basis for chromosome packaging in the restricted nuclear volume.