Randomized fast design of short DNA words

Ming-Yang Kao*, Manan Sanghi, Robert Schweller

*Corresponding author for this work

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

We consider the problem of efficiently designing sets (codes) of equal-length DNA strings (words) that satisfy certain combinatorial constraints. This problem has numerous motivations including DNA self-assembly and DNA computing. Previous work has extended results from coding theory to obtain bounds on code size for new biologically motivated constraints and has applied heuristic local search and genetic algorithm techniques for code design. This article proposes a natural optimization formulation of the DNA code design problem in which the goal is to design n strings that satisfy a given set of constraints while minimizing the length of the strings. For multiple sets of constraints, we provide simple randomized algorithms that run in time polynomial in n and any given constraint parameters, and output strings of length within a constant factor of the optimal with high probability. To the best of our knowledge, this work is the first to consider this type of optimization problem in the context of DNA code design.

Original languageEnglish (US)
Article number43
JournalACM Transactions on Algorithms
Volume5
Issue number4
DOIs
StatePublished - Oct 1 2009

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Keywords

  • DNA code design
  • Randomized algorithms

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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