Sorting Method Based on Group Theory for Dynamic Micro-bead Arrays

Yoshio TANAKA; Hiroyuki KAWADA; Mitsuru ISHIKAWA; Hiroyuki KITAJIMA

doi:10.9746/sicetr.46.253

Transactions of the Society of Instrument and Control Engineers

Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654

Short Paper

Sorting Method Based on Group Theory for Dynamic Micro-bead Arrays

Yoshio TANAKA, Hiroyuki KAWADA, Mitsuru ISHIKAWA, Hiroyuki KITAJIMA

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Keywords: optical tweezers, micromanipulation, dynamic array, DNA-chip, μ-TAS

JOURNAL FREE ACCESS

2010 Volume 46 Issue 4 Pages 253-255

DOI https://doi.org/10.9746/sicetr.46.253

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Abstract

Here we propose a collision-free sorting method for optically controlled dynamic micro-arrays. The beads forming a two-dimensional M×N lattice array can be sorted in arbitrary order by the collision-free cyclic shifts of four beads and six beads. A mathematical proof based on group theory and the experimental result with the time-sharing optical tweezers are described.

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