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On the Stability of Nucleic Acid Feedback Controllers by Paulino, Nuno M. G.; Foo, Mathias; Kim, Jongmin; Bates, Declan G. is a scholarly article available to read on EtoBox.

What is On the Stability of Nucleic Acid Feedback Controllers about?

Recent work has shown how chemical reaction network theory may be used to design dynamical systems that can be implemented biologically in nucleic acid-based chemistry. While this has allowed the construction of advanced open-loop circuitry based on cascaded DNA strand displacement (DSD) reactions, little progress has so far been made in developing the requisite theoretical machinery to inform the systematic design of feedback controllers in this context. Here, we develop a number of foundational theoretical results on the equilibria, stability, and dynamics of nucleic acid controllers. In particular, we show that the implementation of feedback controllers using DSD reactions introduces additional nonlinear dynamics, even in the case of purely linear designs, e.g. PI controllers. By decomposing the effects of these non-observable nonlinear dynamics, we show that, in general, the stability of the linear system design does not necessarily imply the stability of the underlying chemical network, which can be lost under experimental variability when feedback interconnections are introduced. We provide an in-depth theoretical analysis of an example illustrating this phenomenon, whereby t

Author

Paulino, Nuno M. G.; Foo, Mathias; Kim, Jongmin; Bates, Declan G.

Published

2018

Language

EN