Cooperative effects enhance the transport properties of molecular spider teams

Abstract

Molecular spiders are synthetic molecular motors based on DNA nanotechnology. While natural molecular motors have evolved towards very high efficiency, it remains a major challenge to develop efficient designs for man-made molecular motors. Inspired by biological motor proteins like kinesin and myosin, molecular spiders comprise a body and several legs. The legs walk on a lattice that is coated with substrate which can be cleaved catalytically. We propose a novel molecular spider design in which n spiders form a team. Our theoretical considerations show that coupling several spiders together alters the dynamics of the resulting team significantly. Although spiders operate at a scale where diffusion is dominant, spider teams can be tuned to behave nearly ballistic, which results in fast and predictable motion. Based on the separation of time scales of substrate and product dwell times, we develop a theory which utilises equivalence classes to coarse-grain the micro-state space. In addition, we calculate diffusion coefficients of the spider teams, employing a mapping of an n-spider team to an n-dimensional random walker on a confined lattice. We validate these results with Monte Carlo simulations and predict optimal parameters of the molecular spider team architecture which makes their motion most directed and maximally predictable.

arXiv comment15 pages, 11 figures

References in corpus (10)

• Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
• Stochastic simulations of cargo transport by processive molecular motors
• Molecular Spiders with Memory
• A "Burnt Bridge'' Brownian Ratchet
• Molecular Spiders in One Dimension
• Current reversal and exclusion processes with history-dependent random walks
• Generic principles of active transport
• Transport of Molecular Motor Dimers in Burnt-Bridge Models
• Molecular Spiders on the Plane
• Anomalous transport in disordered exclusion processes with coupled particles

Cited by in corpus (6)

• Superdiffusive transport by multivalent molecular walkers moving under load
• Stochastic thermodynamics in many-particle systems
• Apparent superballistic dynamics in one-dimensional random walks with biased detachment
• First Passage Properties of Molecular Spiders
• Efficiency at maximum power of motor traffic on networks
• Tethered single-legged molecular spiders on independent 1D tracks