Самоорганiзацiя i фрактальнiсть в метаболiчному процесi глiколiзу
Within a mathematical model, the metabolic process of glycolysis is studied. The general scheme of glycolysis is considered as a natural result of the biochemical evolution. By using the theory of dissipative structures, the conditions of self-organization of the given process are sought. The autoca...
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| Date: | 2019 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Publishing house "Academperiodika"
2019
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| Online Access: | https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019141 |
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| Journal Title: | Ukrainian Journal of Physics |
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Ukrainian Journal of Physics| _version_ | 1863131280255746048 |
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| author | Grytsay, V. I. |
| author_facet | Grytsay, V. I. |
| author_sort | Grytsay, V. I. |
| baseUrl_str | https://ujp.bitp.kiev.ua/index.php/ujp/oai |
| collection | OJS |
| datestamp_date | 2019-04-14T21:20:59Z |
| description | Within a mathematical model, the metabolic process of glycolysis is studied. The general scheme of glycolysis is considered as a natural result of the biochemical evolution. By using the theory of dissipative structures, the conditions of self-organization of the given process are sought. The autocatalytic processes resulting in the conservation of cyclicity in the dynamics of the process are determined. The conditions of breaking of the synchronization of the process, increase in the multiplicity of a cyclicity, and appearance of chaotic modes are studied. The phase-parametric diagrams of a cascade of bifurcations, which characterize the transition to chaotic modes according to the Feigenbaum scenario and the intermittence, are constructed. The strange attractors formed as a result of the funnel effect are found. The complete spectra of Lyapunov indices and divergences for the obtained modes are calculated. The values of KS-entropy, horizons of predictability, and Lyapunov dimensions of strange attractors are determined. Some conclusions concerning the structural-functional connections in glycolysis and their influence on the stability of the metabolic process in a cell are presented. |
| doi_str_mv | 10.15407/ujpe60.12.1251 |
| first_indexed | 2025-10-02T01:15:57Z |
| format | Article |
| id | ujp2-article-2019141 |
| institution | Ukrainian Journal of Physics |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2025-10-02T01:15:57Z |
| publishDate | 2019 |
| publisher | Publishing house "Academperiodika" |
| record_format | ojs |
| spelling | ujp2-article-20191412019-04-14T21:20:59Z Self-Organization and Fractality in the Metabolic Process of Glycolysis Самоорганiзацiя i фрактальнiсть в метаболiчному процесi глiколiзу Grytsay, V. I. glycolysis metabolic process self-organization fractality strange attractor Feigenbaum scenario - Within a mathematical model, the metabolic process of glycolysis is studied. The general scheme of glycolysis is considered as a natural result of the biochemical evolution. By using the theory of dissipative structures, the conditions of self-organization of the given process are sought. The autocatalytic processes resulting in the conservation of cyclicity in the dynamics of the process are determined. The conditions of breaking of the synchronization of the process, increase in the multiplicity of a cyclicity, and appearance of chaotic modes are studied. The phase-parametric diagrams of a cascade of bifurcations, which characterize the transition to chaotic modes according to the Feigenbaum scenario and the intermittence, are constructed. The strange attractors formed as a result of the funnel effect are found. The complete spectra of Lyapunov indices and divergences for the obtained modes are calculated. The values of KS-entropy, horizons of predictability, and Lyapunov dimensions of strange attractors are determined. Some conclusions concerning the structural-functional connections in glycolysis and their influence on the stability of the metabolic process in a cell are presented. У роботi за допомогою математичної моделi дослiджується метаболiчний процес глiколiзу. Загальна схема глiколiзу розглядається як закономiрний результат бiохiмiчної еволюцiї. Використовуючи теорiю дисипативних структур, проведено пошук умов самоорганiзацiї даного процесу. Знайдено автокаталiтичнi процеси, завдяки яким зберiгається циклiчнiсть в динамiцi його протiкання. Дослiджено умови порушення синхронiзацiї процесу, збiльшення кратностi циклiчностi та виникнення хаотичних режимiв. Отримано фазопараметричнi дiаграми каскаду бiфуркацiй, якi вiдзеркалюють перехiд до хаотичних режимiв вiдповiдно сценарiю Фейгенбаума та перемежаємостi. Знайдено дивнi аттрактори, що виникають внаслiдок воронки. Побудованi їх аттрактори. Розрахованi повнi спектри показникiв Ляпунова i дивергенцiй для знайдених режимiв. Розрахованi КС-ентропiї, горизонти передбачуваностi та ляпуновскi розмiрностi дивних аттракторiв. Зроблено висновки про структурно-функцiональнi зв’язки глiколiзу та їх впливу на стiйкiсть метаболiчного процесу клiтини. Publishing house "Academperiodika" 2019-01-10 Article Article Peer-reviewed Рецензована стаття application/pdf https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019141 10.15407/ujpe60.12.1251 Ukrainian Journal of Physics; Vol. 60 No. 12 (2015); 1251 Український фізичний журнал; Том 60 № 12 (2015); 1251 2071-0194 2071-0186 10.15407/ujpe60.12 en https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019141/1074 Copyright (c) 2019 Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine |
| spellingShingle | Grytsay, V. I. Самоорганiзацiя i фрактальнiсть в метаболiчному процесi глiколiзу |
| title | Самоорганiзацiя i фрактальнiсть в метаболiчному процесi глiколiзу |
| title_alt | Self-Organization and Fractality in the Metabolic Process of Glycolysis |
| title_full | Самоорганiзацiя i фрактальнiсть в метаболiчному процесi глiколiзу |
| title_fullStr | Самоорганiзацiя i фрактальнiсть в метаболiчному процесi глiколiзу |
| title_full_unstemmed | Самоорганiзацiя i фрактальнiсть в метаболiчному процесi глiколiзу |
| title_short | Самоорганiзацiя i фрактальнiсть в метаболiчному процесi глiколiзу |
| title_sort | самоорганiзацiя i фрактальнiсть в метаболiчному процесi глiколiзу |
| topic_facet | glycolysis metabolic process self-organization fractality strange attractor Feigenbaum scenario - |
| url | https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019141 |
| work_keys_str_mv | AT grytsayvi selforganizationandfractalityinthemetabolicprocessofglycolysis AT grytsayvi samoorganizaciâifraktalʹnistʹvmetaboličnomuprocesiglikolizu |