Biomolecular implementation of nonlinear system theoretic operators

Mathias Foo, Rucha Sawlekar, Jongmin Kim, Declan G. Bates, Guy Bart Stan, Vishwesh Kulkarni

Research output: Chapter in Book/Report/Conference proceedingConference proceedingpeer-review

2 Citations (Scopus)
28 Downloads (Pure)


— 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 com-monly 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.
Original languageEnglish
Title of host publication2016 European Control Conference, ECC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages8
ISBN (Electronic)978-1-5090-2591-6, 978-1-5090-2590-9
ISBN (Print)978-1-5090-2592-3
Publication statusPublished - 6 Jan 2017
Event2016 European Control Conference - Aalborg, Denmark
Duration: 29 Jun 20161 Jul 2016

Publication series

Name2016 European Control Conference, ECC 2016


Conference2016 European Control Conference
Abbreviated titleECC


  • Chemicals
  • DNA
  • Steady-state
  • Degradation
  • Synthetic biology
  • Oscillators

Fingerprint Dive into the research topics of 'Biomolecular implementation of nonlinear system theoretic operators'. Together they form a unique fingerprint.

Cite this