RELAY FEEDBACK OSCILLATOR DESIGN FOR MODELING CIRCADIAN RHYTHMS
IN CYANOBACTERIA

J 2012

RELAY FEEDBACK OSCILLATOR DESIGN FOR MODELING CIRCADIAN RHYTHMS IN CYANOBACTERIA

FISER, J; P ZITEK a Jan ČERVENÝ

Základní údaje

Originální název

RELAY FEEDBACK OSCILLATOR DESIGN FOR MODELING CIRCADIAN RHYTHMS IN CYANOBACTERIA

Autoři

FISER, J; P ZITEK a Jan ČERVENÝ

Vydání

NEW YORK, AMER SOC MECHANICAL ENGINEERS, 2012

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Utajení

není předmětem státního či obchodního tajemství

Označené pro přenos do RIV

UT WoS

000324505000076

Klíčová slova anglicky

circadian rhythms; oscillator; limit cycle; relay characteristics; cyanobacteria growth

Změněno: 28. 11. 2014 13:52, Ing. Jan Červený, Ph.D.

Anotace

V originále

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.

Citovat

FISER, J; P ZITEK a Jan ČERVENÝ. RELAY FEEDBACK OSCILLATOR DESIGN FOR MODELING CIRCADIAN RHYTHMS IN CYANOBACTERIA. NEW YORK: AMER SOC MECHANICAL ENGINEERS, 2012, s. 549-556.

@article{1210747,
   author = {Fiser, J and Zitek, P and Červený, Jan},
   article_location = {NEW YORK},
   keywords = {circadian rhythms; oscillator; limit cycle; relay characteristics; cyanobacteria growth},
   language = {eng},
   title = {RELAY FEEDBACK OSCILLATOR DESIGN FOR MODELING CIRCADIAN RHYTHMS IN CYANOBACTERIA},
   year = {2012}
}

TY  - JOUR
ID  - 1210747
AU  - Fiser, J - Zitek, P - Červený, Jan
PY  - 2012
TI  - RELAY FEEDBACK OSCILLATOR DESIGN FOR MODELING CIRCADIAN RHYTHMS IN CYANOBACTERIA
SP  - 549-556
EP  - 549-556
PB  - AMER SOC MECHANICAL ENGINEERS
KW  - circadian rhythms
KW  - oscillator
KW  - limit cycle
KW  - relay characteristics
KW  - cyanobacteria growth
N2  - 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.
ER  -

FISER, J; P ZITEK a Jan ČERVENÝ. RELAY FEEDBACK OSCILLATOR DESIGN FOR MODELING CIRCADIAN RHYTHMS IN CYANOBACTERIA. NEW YORK: AMER SOC MECHANICAL ENGINEERS, 2012, s.~549-556.

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