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Molecular spiders in one dimension

Tibor Antal1, P L Krapivsky2 and Kirone Mallick3

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Molecular spiders are synthetic biomolecular 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.


Keywords

exact results

solvable lattice models

molecular motors (theory)

stochastic particle dynamics (theory)

 

E-print Number: 0705.2594

Cited: by |

Refers: to

PACS

87.14.G- Nucleic acids

87.15.Vv Diffusion

87.85.J- Biomaterials

87.15.H- Dynamics of biomolecules

Subjects

Biological physics

Dates

Issue 08 (August 2007)

Received 22 May 2007, accepted for publication 29 July 2007

Published 22 August 2007



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