Bifurcations in a mathematical model for circadian oscillations of clock genes

Bifurcation diagrams reveal regions where a mathematical model of Drosophila circadian oscillators generates complex oscillations, including chaos.

• Circadian oscillations in Drosophila are driven by negative feedback from a complex of two proteins, PER and TIM.
• The mathematical model accounts for regular oscillations in constant darkness and can exhibit more complex behaviors.
• Calculations show that the model can produce both stable and unstable oscillatory phenomena through bifurcation analysis.
• Light-dark cycles significantly affect the model's dynamic behavior and the overall bifurcation structure.

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