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Biomolecular implementation of nonlinear system theoretic operators
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Foo, Mathias, Sawlekar, Rucha, Kim, J., Bates, Declan, Stan, Guy-Bart and Kulkarni, Vishwesh V. (2017) Biomolecular implementation of nonlinear system theoretic operators. In: European Control Conference 2016, Aalborg, Denmark, 29 Jun-1 Jul 2016. Published in: 2016 European Control Conference (ECC) ISBN 9781509025923. doi:10.1109/ECC.2016.7810556
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Official URL: https://doi.org/10.1109/ECC.2016.7810556
Abstract
Synthesis of biomolecular circuits for controlling molecular-scale processes is an important goal of synthetic biology with a wide range of in vitro and in vivo applications, including biomass maximization, nanoscale drug delivery, and many others. In this paper, we present new results on how abstract chemical reactions can be used to implement commonly used system theoretic operators such as the polynomial functions, rational functions and Hill-type nonlinearity. We first describe how idealised versions of multi-molecular reactions, catalysis, annihilation, and degradation can be combined to implement these operators. We then show how such chemical reactions can be implemented using enzyme-free, entropy-driven DNA reactions. Our results are illustrated through three applications: (1) implementation of a Stan-Sepulchre oscillator, (2) the computation of the ratio of two signals, and (3) a PI+antiwindup controller for regulating the output of a static nonlinear plant.
Item Type: | Conference Item (Paper) | ||||||||
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Subjects: | Q Science > QD Chemistry T Technology > TA Engineering (General). Civil engineering (General) T Technology > TP Chemical technology |
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Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||||||
Library of Congress Subject Headings (LCSH): | Synthetic biology, Biotechnology, Catalysis | ||||||||
Journal or Publication Title: | 2016 European Control Conference (ECC) | ||||||||
Publisher: | IEEE | ||||||||
ISBN: | 9781509025923 | ||||||||
Official Date: | 9 January 2017 | ||||||||
Dates: |
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DOI: | 10.1109/ECC.2016.7810556 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 30 November 2016 | ||||||||
Date of first compliant Open Access: | 1 December 2016 | ||||||||
Funder: | Biotechnology and Biological Sciences Research Council (Great Britain) (BBSRC), Engineering and Physical Sciences Research Council (EPSRC) | ||||||||
Grant number: | BB/M017982/1 (BBSRC), EP/M002187/1 (EPSRC) | ||||||||
Conference Paper Type: | Paper | ||||||||
Title of Event: | European Control Conference 2016 | ||||||||
Type of Event: | Conference | ||||||||
Location of Event: | Aalborg, Denmark | ||||||||
Date(s) of Event: | 29 Jun-1 Jul 2016 | ||||||||
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