A Phenomenological Mouse Circadian Pacemaker Model

Area of Science:

• Chronobiology
• Mathematical modeling
• Animal physiology

Background:

• Mathematical models are crucial for understanding biological clocks in chronobiology.
• The Kronauer model is widely used for human circadian studies but lacks a rodent equivalent.
• Significant variability in mouse circadian data necessitates adaptable models.

Purpose of the Study:

• To develop a Kronauer-like mathematical model for nocturnal rodents, specifically mice.
• To establish parameter ranges that accommodate experimental data variability within and across mouse strains.
• To create a tool for interpreting mouse circadian rhythm experiments.

Main Methods:

• Re-fitting parameters of the Kronauer model using published mouse phase response curve and period data.
• Employing total least squares for parameter estimation.
• Conducting local parameter sensitivity analysis and parameter distribution analysis.

Main Results:

• A Kronauer-like model for mice was successfully developed, incorporating parameter ranges for data variability.
• The model demonstrated the ability to simulate circadian responses in mice.
• Adjustments were needed for different mouse strains, indicating the model's sensitivity to core rhythm control processes.

Conclusions:

• The developed model provides a valuable tool for analyzing mouse circadian clock experiments.
• The model's adaptability highlights its utility in understanding strain-specific differences in circadian regulation.
• This work bridges a gap in mathematical modeling for rodent chronobiology research.