Title :
On robustness of periodic trajectories in circadian systems
Author :
Ogawa, K. ; Takekawa, N. ; Uchida, K. ; Shibata, S.
Author_Institution :
Dept. of Electr. Eng. & Bioscience, Waseda Univ., Tokyo, Japan
Abstract :
In this paper, we study the robustness of circadian rhythms from the viewpoint of (local) robust stability of periodic trajectories. We use the core molecular model proposed by Goldbeter (1995) for cases when the circadian rhythms are not only subjected to periodic forcing by light/dark (LD) cycles but also under continuous darkness. We propose conditions/algorithms to test the robustness for both cases.
Keywords :
bio-optics; linear systems; molecular biophysics; stability; time-varying systems; circadian systems; core molecular model; light-dark cycles; linear time-varying system; periodic trajectories; robust stability; Circadian rhythm; Clocks; Computer simulation; Differential equations; Negative feedback; Noise robustness; Proteins; Robust stability; Testing; Time varying systems;
Conference_Titel :
Control, Communications and Signal Processing, 2004. First International Symposium on
Print_ISBN :
0-7803-8379-6
DOI :
10.1109/ISCCSP.2004.1296249
