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Mathematical Model of Self-Oscillations of Activity of Kai Proteins

Sh. K. Bayramov

Azerbaijan Medical University, AZ1022 Baku, Azerbaijan; E-mail: shahinru@yahoo.com

Received July 15, 2015; Revision received October 27, 2015
A non-autocatalytic mathematical model of self-oscillations in vitro in solutions of cyanobacterial Kai proteins (KaiA, KaiB, KaiC) and ATP is suggested. This model describes the process of phosphorylation/dephosphorylation of KaiC protein, which is accelerated by KaiA and inhibited by KaiB. The method of metabolic control analysis is used to show that frequency (period) as well as amplitude of self-oscillations of components of Kai proteins are temperature-compensated.
KEY WORDS: biochemical self-oscillations, Kai proteins, control analysis of frequency, control analysis of amplitude

DOI: 10.1134/S0006297916030111