The Mathematical Model of Self-oscillations of Kai Proteins in Incubation Solution
Shahin K. Bayramov, Kamandar M. Yaqubov
International Journal of Biochemistry Research & Review · pp. 1–8 · Published 25 Jan 2016
10.9734/IJBCRR/2016/22348Abstract
An autocatalytic mathematical model of self-oscillations in in vitro solutions of Kai proteins (KaiA, KaiB, KaiC) and ATP is offered. The model describes the main processes in the solution of Kai - proteins, namely the process of a phosphorylation / defosforillyation of KaiC protein which is accelerated by influence of KaiA and is inhibited by KaiB protein influence. By the method of the metabolic control analysis it is shown that the frequency (period) and amplitudes of self-oscillations of the components of Kai- proteins are temperature compensated.
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