Спектральний аналiз та iнварiантна мiра при дослiдженнi нелiнiйної динамiки метаболiчного процесу в клiтинi

• Видавець: Publishing house "Academperiodika"
• Дата: 2018
• Автор: Grytsay, V. I.
• Формат: Стаття
• Мова: English
• Опубліковано: Publishing house "Academperiodika" 2018
• Теми: mathematical model; metabolic process; self-organization; deterministic chaos; Fourier series; strange attractor; invariant measure; bifurcation; -
• Онлайн доступ: https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018685

The metabolic process in a cell is modeled with the use of the Fourier transformation. The histograms of the invariant measures of chaotic attractors are constructed. In particular, a scenario of adaptation of the metabolic process under a change in the dissipation of a kinetic membrane potential and the sequence of the modes of self-organization and deterministic chaos are determined. Respectively, the spectral mapping of the attractors of these modes is considered. The structural-functional connections of the metabolic process in a cell as an integral dissipative system are analyzed.