Journal
IFAC PAPERSONLINE
Volume 51, Issue 33, Pages 32-37Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ifacol.2018.12.081
Keywords
Complex systems; Nonlinear circuits; Uncertainty; Differential equations; Robustness
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Funding
- JSPS KAKENHI [15H01715]
- Grants-in-Aid for Scientific Research [15H01715] Funding Source: KAKEN
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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 L-2 gain by solving the Hamilton-Jacobi inequality. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
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