Tag Archives: oxidative phosphorylation

Instability and invariant measure in the mathematical model for oxidative phosphorylation and ATP synthesis in the cell

V. I. Grytsay

Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv;
e-mail: vigrytsay@gmail.com

Received: 13 October 2023; Revised: 28 November 2023;
Accepted: 01 December 2023; Available on-line: 18 December 2023

The aim of this work was to analyze the process of oxidative phosphorylation and ATP synthesis in a cell using a mathematical model. The scenario of occurrence of the autoperiodic and chaotic modes depending on the ATP dissipation values was determined. The invariant measure of the strange attractor was calculated, and histograms of its projections on the phase plane were plotted. Some recommendations were made on how to eliminate biochemically the chaotic mode and restore the stability of the self-organization of the cell biosystem.

The effect of ATP-dependent K(+)-channel opener on the functional state and the opening of cyclosporine-sensitive pore in rat liver mitochondria

O. V. Akopova, V. I. Nosar, V. A. Bouryi, L. I. Kolchinskaya,
I. N. Mankovska, V. F. Sagach

Bogomoletz Institute of Physiology, National Academy of Sciences of Ukraine, Kyiv;
e-mail: a-dubensky@mail.ru

The effect of mitochondrial ATP-dependent K+-channel (K+АТР-channel) opener diazoxide (DZ) on the oxygen consumption, functional state and the opening of cyclosporine-sensitive pore in the rat liver mitochondria has been studied. It has been established that K+АТР-channel activation results in the increase of the oxygen consumption rate (V4S) and the uncoupling due to the acceleration of K+-cycling, the decrease in state 3 respiration rate (V3) and the respiratory control ratio (RCR). Under K+АТР-channel activation an inhibition of oxidative phosphorylation takes place which reduces the rate of ATP synthesis and hydrolysis as well as ATP production and consequently results in the seeming increase of P/O ratio. It has been shown that the increase in ATP-dependent K+-uptake accompanied by the opening of mitochondrial permeability transition pore (MPTP) leads to dramatic uncoupling of the respiratory chain due to simultaneous activation of K+– and Ca2+-cycling supported by MPTP and Ca2+-uniporter as well as K+-channels and K+/H+-exchange. K+АТР-channel activation leads to the partial inhibition of MPTP, but insufficient for the restoration of mitochondrial functions. Elimination of Ca2+-cycling after MPTP opening is necessary to return mitochondrial functions back to the control level which shows that MPTP could serve as the mechanism of reversible modulation of bioenergetic effects of K+АТР-channel activation.