Relay feedback oscillator design for modeling circadian rhythms in cyanobacteria

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F86652079%3A_____%2F12%3A00482418" target="_blank" >RIV/86652079:_____/12:00482418 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21220/11:00194392

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Relay feedback oscillator design for modeling circadian rhythms in cyanobacteria

Popis výsledku v původním jazyce

The paper introduces a relay feedback oscillator for modeling circadian rhythms in cyanobacteria. The relay feedback oscillator is equipped with low pass filter F(j omega), hysteresis-type relay and negative feedback. This negative feedback represents an autoregulatory mechanism of the circadian clock and the notion of this autoregulatory mechanism is based on the well-known Goodwin biochemical oscillator [1]. The relay is responsible for the mediation of both the activation and degradation of oscillator state variables (protein concentrations) and in this way the pacemaker is constituted. Later on, low pass filter poles are identified for the purpose of modeling auto-oscillations with the free running period of 24h and the method of the pole identification consists in an ultimate frequency test providing stability margin of a single-loop composed of the filter and the relay in the feedback. Next, a relay output / input ratio of amplitudes and hysteresis are found out by the graphical test of the single-loop on the stability margin which is carried out in Bode graph. Finally, the output correspondence of relay feedback oscillator model with Miyoshi oscillator [2] is provided because the Miyoshi oscillator is well recognized among biochemical oscillators for species of cyanobacteria.

Název v anglickém jazyce

Relay feedback oscillator design for modeling circadian rhythms in cyanobacteria

Popis výsledku anglicky

The paper introduces a relay feedback oscillator for modeling circadian rhythms in cyanobacteria. The relay feedback oscillator is equipped with low pass filter F(j omega), hysteresis-type relay and negative feedback. This negative feedback represents an autoregulatory mechanism of the circadian clock and the notion of this autoregulatory mechanism is based on the well-known Goodwin biochemical oscillator [1]. The relay is responsible for the mediation of both the activation and degradation of oscillator state variables (protein concentrations) and in this way the pacemaker is constituted. Later on, low pass filter poles are identified for the purpose of modeling auto-oscillations with the free running period of 24h and the method of the pole identification consists in an ultimate frequency test providing stability margin of a single-loop composed of the filter and the relay in the feedback. Next, a relay output / input ratio of amplitudes and hysteresis are found out by the graphical test of the single-loop on the stability margin which is carried out in Bode graph. Finally, the output correspondence of relay feedback oscillator model with Miyoshi oscillator [2] is provided because the Miyoshi oscillator is well recognized among biochemical oscillators for species of cyanobacteria.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

21001 - Nano-materials (production and properties)

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION 2011

ISBN

978-0-7918-5488-4

ISSN

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e-ISSN

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Počet stran výsledku

8

Strana od-do

549-556

Název nakladatele

ASME

Místo vydání

Denver, Colorado

Místo konání akce

Denver

Datum konání akce

11. 11. 2011

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000324505000076