On diffusion in narrow random channels

TL;DR

This paper presents a solvable model for molecular motor movement in narrow channels, reducing the problem to diffusion on a graph and calculating the effective transport speed.

Contribution

It introduces a novel solvable model that simplifies the complex motion of molecular motors to a diffusion process on a graph, enabling explicit calculations.

Findings

Derived an effective speed formula for molecular motors.

Reduced complex motor dynamics to a diffusion process on a graph.

Provided a solvable framework for analyzing motor transport in narrow channels.

Abstract

We consider in this paper a solvable model for the motion of molecular motors. Based on the averaging principle, we reduce the problem to a diffusion process on a graph. We then calculate the effective speed of transportation of these motors.