Biomolecular implementation of nonlinear system theoretic operators
| Autor: | Vishwesh V. Kulkarni, Declan G. Bates, Guy-Bart Stan, Jongmin Kim, Mathias Foo, Rucha Sawlekar |
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| Rok vydání: | 2016 |
| Předmět: |
TP
0301 basic medicine Technology Polynomial Computer science Computation Rational function 03 medical and health sciences Synthetic biology Automation & Control Systems DESIGN Control theory REACTION NETWORK STRUCTURE QD KINETICS Science & Technology STABILITY Control engineering COMPLEX ISOTHERMAL REACTORS DNA Maximization DEFICIENCY-ONE Range (mathematics) Nonlinear system 030104 developmental biology TA OSCILLATORS CIRCUITS |
| Zdroj: | ECC European Control Conference (ECC) |
| Popis: | 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.\ud |
| Databáze: | OpenAIRE |
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