Optimal phase-tracking of the nonlinear circadian oscillator

Through investigation of transient phase characteristics, a methodology is developed to optimize the phase resetting properties of robust nonlinear biological oscillators; in particular, those of the circadian rhythm. This pacemaker is an autonomous chemical oscillator with a period close to 24 hours. Research in chronobiology indicates that light stimuli can be used to delay or advance the phase of the oscillator, allowing it to synchronize physiological processes and govern daily fluctuations in the core body. This paper proves that a circadian oscillator optimally recovers extreme phase difference (half the nominal period) within 4-days.