A mathematical model was numerically investigated which describes the autooscillatory temporal organization of futile cycles of the carbohydrate branch of energy metabolism. Using an optimization method we found a region in the parametric space of the model in which the circadian oscillation period was practically constant, although the major eight parameters varied in a wide range. Such homeostasis of the period is due to synergistic effects of the four feed-back mechanisms regulating activities of the key enzymes. The result obtained supports the metabolic theory of the circadian cell clock.
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