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Robustness of Clocks to Input Noise
Michele Monti1, David K Lubensky2, Pieter Rein Ten Wolde1
1FOM Institute AMOLF, Science Park 104, 1098 XE Amsterdam, Netherlands.
Organisms use circadian clocks (limit-cycle oscillators) or hourglass systems to tell time. While both are effective with low noise, limit-cycle oscillators significantly outperform hourglass systems under high environmental noise.
Area of Science:
- Chronobiology
- Systems Biology
- Biophysics
Background:
- Organisms utilize circadian clocks, often limit-cycle oscillators, for time estimation with a ~24-hour period.
- Alternative time-keeping mechanisms, like bacterial hourglass systems, exist and can infer time from external cues.
Purpose of the Study:
- To compare the time-telling efficiency of limit-cycle oscillators versus two types of hourglass models.
- To investigate the impact of input noise on the performance of these biological time-keeping systems.
Main Methods:
- Computational modeling of the Kai system in cyanobacteria.
- Analysis of a limit-cycle oscillator model and two hourglass models (exponential and oscillatory relaxation).
- Evaluation of system performance under varying levels of input noise.
Main Results:
- All three models (limit-cycle oscillator, exponential hourglass, oscillatory hourglass) showed similar time-telling accuracy in low-noise environments.
- In high-noise conditions, the limit-cycle oscillator demonstrated significantly superior performance compared to both hourglass models.
- This noise-dependent performance difference was also observed in the universal Stuart-Landau model.
Conclusions:
- Limit-cycle oscillators offer greater robustness and accuracy for biological time estimation in noisy environments.
- Hourglass systems, while functional, are more susceptible to environmental fluctuations.
- The findings highlight the adaptive advantages of different time-keeping mechanisms across varying biological contexts.
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