engleski

Homeostasis of three circadian oscillators in time varying external conditions

We study the synchronization problem of three limit cycle oscillators with time dependent mutual coupling. Oscillators are in the state of homeostasis under stationary external conditions. However, their behavior becomes quite different, if a sudden change happens in one of the external parameters. With these oscillators, we model the relationship between the heart rate circadian, blood pressure circadian and the body temperature circadian oscillations. Working in the complex phase space of oscillators, we observed variety of stationary and nonstationary behaviours which depend on the coupling between the oscillators, frequency differences, and on their limit cycle radii. Two important stationary solutions are found, the amplitude death and the frequency locking (synchronization) phenomena.

circadian rhythms; coupled circadian oscillators; limit cycle oscillator; synchronization

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