A COMPARISON INVESTIGATION OF THE SIMPLEST MODELS OF CIRCADIAN RHYTHMS

作者：Tang Sanyi^*

来源：International Journal of Biomathematics, 2008, 1(1): 75-93.

DOI：10.1142/S1793524508000096

• Goodwin model
• piece-wise Goodwin model
• delay model
• phase response curve
• circadian rhythm

We present three different simplest realistic models of the circadian pacemaker that can be interpreted in molecular terms: Goodwin model, piece-wise Goodwin model and delay model. The main purpose is to investigate how the common parameters in these three model affect the dynamical behavior. In particular, the existence and stability of periodic solutions of three models are studied, and the parameter space where the steady state becomes unstable is given which can be used to compare the effect parameters on the oscillations of three models. Furthermore, the effects of parameters on the period of periodic solutions and phase response curves are investigated and discussed. Our results confirm that all three models can be used to simulate the realistic circadian rhythms. However, in practice, which model is chosen depends on the real data.

• 出版日期2008-3
• 单位陕西师范大学