Molecular Spiders in One Dimension

Abstract

Molecular spiders are synthetic bio-molecular systems which have "legs" made of short single-stranded segments of DNA. Spiders move on a surface covered with single-stranded DNA segments complementary to legs. Different mappings are established between various models of spiders and simple exclusion processes. For spiders with simple gait and varying number of legs we compute the diffusion coefficient; when the hopping is biased we also compute their velocity.

14 pages, 2 figures

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Cited by in corpus (11)

• Molecular Spiders with Memory
• Superdiffusive transport by multivalent molecular walkers moving under load
• Variational calculation of transport coefficients in diffusive lattice gases
• Dimensionality-dependent crossover in motility of polyvalent burnt-bridges ratchets
• Dynamical phase transition of a 1D transport process including death
• First Passage Properties of Molecular Spiders
• Cooperative effects enhance the transport properties of molecular spider teams
• Molecular Spiders on the Plane
• Shepherd Model for Knot-Limited Polymer Ejection from a Capsid
• Diffusivity of a walk on fractures of a hypertorus
• Self-Repelling Bi-Exploration Process