# Brownian ratchets driven by asymmetric nucleation of hydrolysis waves

Source: [Brownian ratchets driven by asymmetric nucleation of hydrolysis waves](<https://www.sota2.com/research/paper/68fa279b2c2a3760193c3a55>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:44.689Z

Authors: Amit Lakhanpal, Tom Chou

Published: 2007-05-21T02:35:31.000Z

## Abstract

We propose a stochastic process wherein molecular transport is mediated by asymmetric nucleation of domains on a one-dimensional substrate. Track-driven mechanisms of molecular transport arise in biophysical applications such as Holliday junction positioning and collagenase processivity. In contrast to molecular motors that hydrolyze nucleotide triphosphates and undergo a local molecular conformational change, we show that asymmetric nucleation of hydrolysis waves on a track can also result in directed motion of an attached particle. Asymmetrically cooperative kinetics between \`\`hydrolyzed'' and \`\`unhydrolyzed'' states on each lattice site generate moving domain walls that push a particle sitting on the track. We use a novel fluctuating-frame, finite-segment mean field theory to accurately compute steady-state velocities of the driven particle and to discover parameter regimes which yield maximal domain wall flux, leading to optimal particle drift.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0705.2905>)

[PDF](<https://arxiv.org/pdf/0705.2905.pdf>)