Robustness of DNA Strand Displacement Systems⋆

Takashi Nakakuki, Jun ichi Imura, Ibuki Kawamata, Satoshi Murata

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


How to construct a reliable deoxyribonucleic acid (DNA) circuit is one of the most important issues in the field of molecular programming and computing. Such a circuit frequently suffers from various kinds of unintended binding reactions on account of a lower specificity of the molecular interaction emerging from base complementarity between DNA strands, which results in low reliability of the molecular circuit. In this study, we propose a method to quantitatively evaluate the robustness of a DNA circuit created by DNA strand displacement reactions. The highlight of our method is representing the circuit system contaminated by unintended reactions by a standard form of a disturbed nonlinear system and evaluating the robustness with the L2 gain by solving the Hamilton–Jacobi inequality.

Original languageEnglish
Pages (from-to)32-37
Number of pages6
Issue number33
Publication statusPublished - 2018 Jan 1


  • Complex systems
  • Differential equations, Robustness
  • Nonlinear circuits
  • Uncertainty

ASJC Scopus subject areas

  • Control and Systems Engineering


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