Coherent feedback induced transparency

Fan, Bixuan; Ning, Jiahui; Xie, Mei; Liu, Cunjin; Guan, Shengguo

doi:10.1364/oe.404053

Cited by 5 publications

(4 citation statements)

References 24 publications

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“…The control of E by I 1 and I 2 leads in addition to frequency homeostasis [29]. In analogy to a similar feedback arrangement in quantum control theory [50, 51] we have termed the feedback scheme in Fig 4 as ‘coherent feedback’ [18].…”

Section: Resultsmentioning

confidence: 99%

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Background compensation revisited: Conserved phase response curves in frequency controlled homeostats with coherent feedback

Ruoff

2024

Preprint

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Background compensation is the ability of a controlled variable to respond to an applied perturbation in an unchanged manner and independent of different but constant background signals which act in parallel to the perturbation. We found that background compensation occurs by ‘coherent feedback’ mechanisms where additional control variables feed directly back to the controlled variable. This paper extends a previous study on background compensation to include phase responses in frequency controlled coherent feedback oscillators. While the frequency resetting amplitude in coherent feedback oscillators is found to be dependent on the inflow/outflow perturbation of the controlled variable and thereby become phase dependent, the frequency resetting itself and the corresponding phase response curves are found to be background compensated. It is speculated that this type of background compensation may be an additional way how ambient noise can be ‘ignored’ by organisms.

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Section: Resultsmentioning

confidence: 99%

“…The control of E by I 1 and I 2 leads in addition to frequency homeostasis [29]. In analogy to a similar feedback arrangement in quantum control theory [50,51] we have termed the feedback scheme in Fig 4 as 'coherent feedback' [18]. The rate equations are:…”

Section: Introducing Coherent Feedback and Frequency Controlmentioning

confidence: 99%

Background compensation revisited: Conserved phase response curves in frequency controlled homeostats with coherent feedback

Ruoff

2024

Preprint

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“…Here we report the additional and novel finding that when the I 1 and I 2 controllers feed back directly via A to control E , the oscillator has the capability to neutralize backgrounds. In analogy to a closely related feedback definition employed in quantum control theory and optics, we call this type of feedback for ‘coherent feedback’ (see [ 9 , 10 ] and references therein).…”

Section: Resultsmentioning

confidence: 99%

“…The paper is structured in the following way: We first show that a feedback type similar to what quantum physicists have termed ‘coherent feedback’ [ 9 , 10 ] is required to obtain background compensation in both oscillatory and non-oscillatory homeostats. For oscillatory homeostats we show that coherent feedback control leads to background compensation and to frequency control.…”

Section: Introductionmentioning

confidence: 99%

Coherent feedback leads to robust background compensation in oscillatory and non-oscillatory homeostats

Nygård,

Ruoff

2023

PLoS ONE

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When in a reaction kinetic integral controller a step perturbation is applied besides a constant background, the concentration of a controlled variable (described as A) will generally respond with decreased response amplitudes ΔA as backgrounds increase. The controller variable E will at the same time provide the necessary compensatory flux to move A back to its set-point. A typical example of decreased response amplitudes at increased backgrounds is found in retinal light adaptation. Due to remarks in the literature that retinal light adaptation would also involve a compensation of backgrounds we became interested in conditions how background compensation could occur. In this paper we describe novel findings how background influences can be robustly eliminated. When such a background compensation is active, oscillatory controllers will respond to a defined perturbation with always the same (damped or undamped) frequency profile, or in the non-oscillatory case, with the same response amplitude ΔA, irrespective of the background level. To achieve background compensation we found that two conditions need to apply: (i) an additional set of integral controllers (here described as I1 and I2) have to be employed to keep the manipulated variable E at a defined set-point, and (ii), I1 and I2 need to feed back to the A-E signaling axis directly through the controlled variable A. In analogy to a similar feedback applied in quantum control theory, we term these feedback conditions as ‘coherent feedback’. When analyzing retinal light adaptations in more detail, we find no evidence of the presence of background compensation mechanisms. Although robust background compensation, as described theoretically here, appears to be an interesting regulatory property, relevant biological or biochemical examples still need to be identified.

show abstract

Coherent feedback leads to robust background compensation in oscillatory and non-oscillatory homeostats

Nygård

Ruoff

2023

Preprint

View full text Add to dashboard Cite

When in an integral feedback controller a step perturbation is applied at a constant background, the controlled variable (described here as A) will in general respond with decreased response amplitudes Δ A as backgrounds increase. The controller variable E will at the same time provide the necessary compensatory flux to move A back to its set-point. A typical example of decreased response amplitudes at increased backgrounds is found in retinal light adaptation. Due to remarks in the literature that retinal light adaptation would also involve a compensation of backgrounds we became interested in conditions how background compensation could occur. In this paper we describe how background influences can be robustly eliminated. When such a background compensation is active, oscillatory controllers will respond to a defined perturbation with always the same (damped or undamped) frequency profile, or in the non-oscillatory case, with the same response amplitude Δ A, irrespective of the background level. To achieve background compensation we found that two conditions need to apply: (i) an additional set of integral controllers (here described as I_1 and I_2) have to be employed to keep the manipulated variable E at a defined set-point, and (ii), I_1 and I_2 need to feed back to the A-E signaling axis directly through the controlled variable A. In analogy to a similar feedback applied in quantum control theory, we term these feedback conditions as 'coherent feedback'. When analyzing retinal light adaptations in more detail, we find no evidence in the presence of background compensation mechanisms. Although robust background compensation, as described theoretically here, appears to be an interesting regulatory property, relevant biological or biochemical examples still need to be identified.

show abstract

Coherent feedback induced transparency

Cited by 5 publications

References 24 publications

Background compensation revisited: Conserved phase response curves in frequency controlled homeostats with coherent feedback

Background compensation revisited: Conserved phase response curves in frequency controlled homeostats with coherent feedback

Coherent feedback leads to robust background compensation in oscillatory and non-oscillatory homeostats

Coherent feedback leads to robust background compensation in oscillatory and non-oscillatory homeostats

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