# Solvable model of a many-filament Brownian ratchet.

@article{Wood2019SolvableMO, title={Solvable model of a many-filament Brownian ratchet.}, author={Anthony J Wood and Richard A. Blythe and Martin R. Evans}, journal={Physical review. E}, year={2019}, volume={100 4-1}, pages={ 042122 } }

We construct and exactly solve a model of an extended Brownian ratchet. The model comprises an arbitrary number of heterogeneous, growing and shrinking filaments which together move a rigid membrane by a ratchet mechanism. The model draws parallels with the dynamics of actin filament networks at the leading edge of the cell. In the model, the filaments grow and contract stochastically. The model also includes forces which derive from a potential dependent on the separation between the filaments…

## 5 Citations

### Undulation of a moving fluid membrane pushed by filament growth

- PhysicsScientific reports
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This work reports on the undulation of a fluid membrane pushed by the stepwise growth of filaments as in the leading edge of migrating cells, using three-dimensional Monte Carlo simulations.

### Inter-particle ratchet effect determines global current of heterogeneous particles diffusing in confinement

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In a model of N volume-excluding spheres in a d-dimensional tube, we consider how differences between the drift velocities, diffusivities, and sizes of particles influence the steady-state…

### Nonequilibrium steady states from a random-walk perspective

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- 2019

It is well known that at thermal equilibrium (whereby a system has settled into a steady state with no energy or mass being exchanged with the environment), the microstates of a system are…

### Undulation of a moving uid membrane pushed by lament growth

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- 2021

Biomembranes experience out-of-equilibrium conditions in living cells. Their undulation spectra are different from those in thermal equilibrium. Here, we report on the undulation of a fluid membrane…

### Conversion of heat to work: An efficient inchworm

- PhysicsPhysica Scripta
- 2020

The paper discusses natural emergence of directed motion in a dimer system due to a structural symmetry breaking. A generalised solution is obtained for the transport of such a system which is driven…

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