title: Homeostasis of the period of post-translational biochemical oscillators.
abstract: Generally, circadian clocks or biological oscillations are resistant to external conditions such as temperature and nutrient concentration. We propose that enzyme-limited competition provides a general mechanism of homeostasis of the period of post-translational oscillators based on protein modifications, and demonstrate it by nutrient compensation in a theoretical model of cyanobacterial circadian clock. The rate change by nutrient concentration is counterbalanced by the amount of available free enzyme, which occurs because of the competition among the various substrates for the limited enzyme. The temperature and nutrient compensation are determined by the postulate that the catalytic modification reactions are rate limiting.
authors.affiliation: Department of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan. Electronic address: hatakeyama@complex.c.u-tokyo.ac.jp.
authors.forename: Tetsuhiro S
authors.initials: TS
authors.lastname: Hatakeyama
authors.affiliation: Department of Basic Science, Graduate School of Arts and Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan.
authors.forename: Kunihiko
authors.initials: K
authors.lastname: Kaneko
mesh_terms: D000255:Adenosine Triphosphate / Q000737:chemistry; D000494:Allosteric Regulation; D001426:Bacterial Proteins / Q000502:physiology; D055162:Biocatalysis; D057906:Circadian Clocks / Q000235:genetics*; D003198:Computer Simulation; D000458:Cyanobacteria / Q000502:physiology; D006706:Homeostasis; D007700:Kinetics; D008954:Models, Biological; D009747:Nutritional Physiological Phenomena; D010766:Phosphorylation; D011499:Protein Processing, Post-Translational
chemical_list: D001426:Bacterial Proteins; D000255:Adenosine Triphosphate
keywords: Circadian clock; Enzyme-limited competition; Nutrient compensation; Phosphorylation; Temperature compensation