### 抜粋

This paper extends the stochastic analysis of self assembly in DNA-based computation. The new analysis models an error-correcting technique called pulsing which is analogous to checkpointing in computer operation. The model is couched in terms of the well-known tiling models of DNA-based computation and focuses on the calculation of computation times, in particular the times to self assemble rectangular structures. Explicit asymptotic results are found for small error rates q, and exploit the connection between these times and the classical Hammersley process. Specifically, it is found that the expected number of pulsing stages needed to complete the self assembly of an N × N square lattice is asymptotically 2N √q as N → ∞ within a suitable scaling. Simulation studies are presented which yield performance under more general assumptions.

元の言語 | 英語 |
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ホスト出版物のタイトル | DNA Computing - 11th International Workshop on DNA Computing, DNA11, Revised Selected Papers |

ページ | 1-11 |

ページ数 | 11 |

DOI | |

出版物ステータス | 出版済み - 7 13 2006 |

外部発表 | Yes |

イベント | 11th International Workshop on DNA Computing, DNA11 - London, ON, カナダ 継続期間: 6 6 2005 → 6 9 2005 |

### 出版物シリーズ

名前 | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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巻 | 3892 LNCS |

ISSN（印刷物） | 0302-9743 |

ISSN（電子版） | 1611-3349 |

### その他

その他 | 11th International Workshop on DNA Computing, DNA11 |
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国 | カナダ |

市 | London, ON |

期間 | 6/6/05 → 6/9/05 |

### フィンガープリント

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

### これを引用

*DNA Computing - 11th International Workshop on DNA Computing, DNA11, Revised Selected Papers*(pp. 1-11). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 3892 LNCS). https://doi.org/10.1007/11753681_1