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Mathematical model of cotranscriptional folding and its Turing universality

Research Project

Project/Area Number 15H06212
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Theory of informatics
Research InstitutionThe University of Electro-Communications

Principal Investigator

Seki Shinnosuke  電気通信大学, 情報理工学(系)研究科, 助教 (30624944)

Project Period (FY) 2015-08-28 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords自己組織化 / 共転写性フォールディング / 折り畳みシステム / チューリング完全 / チューリング完全性
Outline of Final Research Achievements

An RNA sequence is synthesized through the phenomenon called transcription, in which RNA polymerase enzyme binds to a template DNA and produces the complementary RNA sequence (transcript) from the 5’ to the 3’-end until the polymerase is dissociated from the template. Before being transcribed fully, the RNA transcript starts folding upon itself into an intricate functional 3D-structures. This phenomenon is called the cotranscriptional folding. RNA origami, proposed by Geary et al. provides a method to design a single-stranded RNA that cotranscriptionally folds into a target structure.
In this project, we first proposed a theoretical model of computation by cotranscriptional folding called the oritatami system (OS). When the template DNA sequence is periodic like ACGTACGT…, then the OS is called cyclic. We proved that the class of cyclic OSs is efficiently Turing universal, that is, any Turing machine can be simulated by an OS with polynomial-time overhead.

Report

(2 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • Research Products

    (14 results)

All 2016 2015 Other

All Int'l Joint Research (5 results) Journal Article (5 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 5 results,  Acknowledgement Compliant: 1 results) Presentation (3 results) (of which Int'l Joint Research: 3 results,  Invited: 1 results) Remarks (1 results)

  • [Int'l Joint Research] Aalto University(Finland)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] University of Paris(France)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] University of Kiel(Germany)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] Yonsei University(韓国)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] California Institute of Technology/University of South Florida(U.S.A.)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Program Size and Temperature in Self-Assembly2015

    • Author(s)
      Ho-Lin Chen, David Doty, Shinnosuke Seki
    • Journal Title

      Algorithmica

      Volume: 72 Issue: 3 Pages: 884-899

    • DOI

      10.1007/s00453-014-9879-3

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Semilinear sets and counter machines: a brief survey2015

    • Author(s)
      Oscar Ibarra, Shinnosuke Seki
    • Journal Title

      Fundamenta Informaticae

      Volume: 138 Issue: 1-2 Pages: 61-76

    • DOI

      10.3233/fi-2015-1198

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 3-color bounded patterned self-assembly2015

    • Author(s)
      Lila Kari, Steffen Kopecki, Shinnosuke Seki
    • Journal Title

      Natural Computing

      Volume: 14 Issue: 2 Pages: 279-292

    • DOI

      10.1007/s11047-014-9434-9

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Dynamic Simulation of 1D Cellular Automata in the Active aTAM2015

    • Author(s)
      Natasha Jonoska, Daria Karpenko, Shinnosuke Seki
    • Journal Title

      New Generation Computing

      Volume: 33 Issue: 3 Pages: 271-295

    • DOI

      10.1007/s00354-015-0302-7

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A manually-checkable proof for the NP-hardness of 11-color pattern self-assembly tileset synthesis2015

    • Author(s)
      Aleck Johnsen, Ming-Yang Kao, Shinnosuke Seki
    • Journal Title

      Journal of Combinatorial Optimization

      Volume: N/A Issue: 2 Pages: 496-529

    • DOI

      10.1007/s10878-015-9975-6

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] Folding Turing is hard but feasible2016

    • Author(s)
      Nicolas Schabanel
    • Organizer
      Highlights of Algorithms (HALG2016)
    • Place of Presentation
      Paris, France
    • Year and Date
      2016-06-06
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Molecular cotranscriptional folding: A novel topic in theory and applications of self-assembly2015

    • Author(s)
      Shinnosuke Seki
    • Organizer
      5th Interdisciplinary Research and Global Outlook (IRAGO2015)
    • Place of Presentation
      Irago, Japan
    • Year and Date
      2015-10-22
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Square-density increasing mappings2015

    • Author(s)
      Shinnosuke Seki
    • Organizer
      10th International Conference on Combinatorics on Words (WORDS2015)
    • Place of Presentation
      Kiel, Germany
    • Year and Date
      2015-09-14
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Remarks] Oritatami

    • URL

      http://users.ics.aalto.fi/meunier/oritatami.html

    • Related Report
      2015 Annual Research Report

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Published: 2015-08-26   Modified: 2022-02-07  

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