Architectural Principles for Characterizing the Performance of Antithetic Integral Feedback Networks

Olsman, Noah; Xiao, Fangzhou; Doyle, John C.

doi:10.1016/j.isci.2019.04.004

Cited by 40 publications

(68 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…One possible future direction for such work is to study the circuit in single cells, rather than its average effects across populations. On the one hand, recent work 3 suggests that circuits of this type could increase spontaneous fluctuations, as has also been reported 4 for related classes of reaction scheme. On the other hand, previously published theoretical work 5 from the same research group as that of Aoki et al suggests that more-complex circuit architectures could exhibit robust perfect adaptation without amplifying spontaneous fluctuations.…”

Section: Universal Control In Biochemical Circuitsmentioning

confidence: 55%

A universal control system for synthetic gene networks

Olsman¹,

Paulsson²

2019

Nature

Self Cite

View full text Add to dashboard Cite

Section: Universal Control In Biochemical Circuitsmentioning

confidence: 55%

A universal control system for synthetic gene networks

Olsman¹,

Paulsson²

2019

Nature

Self Cite

View full text Add to dashboard Cite

“…Ensuring stability in this regime is sufficient to ensure stability for any other binding regime. This is particulary important since it means that the results obtained in [42,43] remain valid even when the coupling parameter is finite, which is likely to be the case in practice. Perhaps surprisingly, a dual result can be found in which the gain k can be made free by suitably choosing η.…”

Section: A Constructive Resultsmentioning

confidence: 99%

“…This demonstrates a natural connection between antithetic integral control and standard integral control. The limiting case η → ∞, called "strong binding regime" in [42,43], was used there as a simplifying assumption in order to get simpler stability condition. This assumption was supported by the fact that strong binding affinity occurs naturally in living organisms.…”

Section: A Constructive Resultsmentioning

confidence: 99%

“…In fact, the antithetic integral controller is the simplest integral controller that is able to properly work in a stochastic setting. The performance analysis of the antithetic integral controller and its generalizations have also been theoretically studied in [17,42,43,47] in a deterministic and stochastic settings. In those papers, the stability and robustness properties of the antithetic integral controller is studied in various parametric regimes for both the controller and sys-tem parameters, notably in the presence of degrading controller species.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Biology-Inspired Approach to the Positive Integral Control of Positive Systems: The Antithetic, Exponential, and Logistic Integral Controllers

Briat¹

2020

SIAM J. Appl. Dyn. Syst.

View full text Add to dashboard Cite

The integral control of positive systems using nonnegative control input is an important problem arising, among others, in biochemistry, epidemiology and ecology. An immediate solution is to use an ON-OFF nonlinearity between the controller and the system. However, this solution is only available when controllers are implemented in computer systems. When this is not the case, like in biology, alternative approaches need to be explored. Based on recent research in the control of biological systems [7,14], we propose to develop a theory for the integral control of positive systems using nonnegative controls based on the so-called antithetic integral controller and two positively regularized integral controllers, the so-called exponential integral controller and logistic integral controller. For all these controllers, we establish several qualitative results, which we connect to standard results on integral control. We also obtain additional results which are specific to the type of controllers. For instance, we show an interesting result stipulating that if the gain of the antithetic integral controller is suitably chosen, then the local stability of the equilibrium point of the closed-loop system does not depend on the choice for the coupling parameter, an additional parameter specific to this controller. Conversely, we also show that if the coupling parameter is suitably chosen, then the equilibrium point of the closed-loop system is locally stable regardless the value of the gain. For the exponential integral controller, we can show that the local stability of the equilibrium point of the closed-loop system is independent of the gain of the controller and the gain of the system. The stability only depends on the exponential rate of the controller, again a parameter that is specific to this type of controllers. Several examples are given for illustration.

show abstract

“…−M is Hurwitz. Hence there exists a general relationship between deterministic stability and stochastic variance [25].…”

Section: B Linear Noise Approximationmentioning

confidence: 99%

Coupled Reaction Networks for Noise Suppression

Xiao

Fang

Doyle

2018

Preprint

Self Cite

View full text Add to dashboard Cite

Noise is intrinsic to many important regulatory processes in living cells, and often forms obstacles to be overcome for reliable biological functions. However, due to stochastic birth and death events of all components in biomolecular systems, suppression of noise of one component by another is fundamentally hard and costly. Quantitatively, a widelycited severe lower bound on noise suppression in biomolecular systems was established by Lestas et. al. in 2010, assuming that the plant and the controller have separate birth and death reactions. This makes the precision observed in several biological phenomena, e.g., cell fate decision making and cell cycle time ordering, seem impossible. We demonstrate that coupling, a mechanism widely observed in biology, could suppress noise lower than the bound of Lestas et. al. with moderate energy cost. Furthermore, we systematically investigate the coupling mechanism in all two-node reaction networks, showing that negative feedback suppresses noise better than incoherent feedforward achitectures, coupled systems have less noise than their decoupled version for a large class of networks, and coupling has its own fundamental limitations in noise suppression. Results in this work have implications for noise suppression in biological control and provide insight for a new efficient mechanism of noise suppression in biology.

show abstract

Architectural Principles for Characterizing the Performance of Antithetic Integral Feedback Networks

Cited by 40 publications

References 36 publications

A universal control system for synthetic gene networks

A universal control system for synthetic gene networks

A Biology-Inspired Approach to the Positive Integral Control of Positive Systems: The Antithetic, Exponential, and Logistic Integral Controllers

Coupled Reaction Networks for Noise Suppression

Contact Info

Product

Resources

About