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Parameterized resetting model captures dose-dependent entrainment of the mouse circadian clock
Kosaku Masuda1,2, Ryusuke Yoshimoto3,4, Ruoshi Li3,4
1Institute of Medicine, University of Tsukuba, Tsukuba, Ibaraki, Japan. kosaku.masuda@gmail.com.
Nature Communications
|February 6, 2025
Summary
This study simplifies circadian rhythm analysis by converting phase response curves (PRCs) into singularity response (SR) parameters. This new model accurately quantifies phase resetting in mouse circadian clocks, even with multiple stimuli.
Area of Science:
- Chronobiology
- Systems Biology
- Computational Biology
Background:
- Circadian rhythm phase resetting is complex due to time-dependent responses.
- Phase response curves (PRCs) are difficult to quantify because their shape varies with stimulus intensity.
- Previous work introduced singularity response (SR) to simplify circadian clock analysis using amplitude and phase parameters.
Purpose of the Study:
- To develop a comprehensive model for phase resetting in the mouse circadian clock.
- To convert traditional PRCs into simplified SR parameters for easier quantification.
- To validate the SR model's predictive power for combined and pre-treated stimuli.
Main Methods:
- Constructing a comprehensive model by converting mouse circadian clock PRCs into SR parameters.
- Analyzing single-cell PRCs to determine SR amplitude parameter relationships with stimulus concentration.
- Utilizing the Hill equation to model SR amplitude parameters.
- Developing a predictive model for combined and pre-treated stimuli effects.
- Experimentally validating the SR model using mouse cells and tissues.
Main Results:
- SR amplitude parameters for varying stimulus concentrations follow the Hill equation.
- The SR model accurately predicts the combined effects of multiple stimuli on phase response.
- The model also accurately predicts the effects of pre-treatment (background) on phase response.
- Experimental validation confirmed the model's accuracy in mouse cells and tissues.
Conclusions:
- Singularity responses (SRs) simplify the quantification of circadian phase resetting.
- The SR model reveals simple, additive/subtractive rules governing phase response under various conditions.
- This approach enhances the understanding and analysis of circadian clock dynamics.

