Самоорганiзацiя та хаос в метаболiзмi гемостазу у кровоноснiй судинi
A mathematical model of the metabolic process of formation of the hemostasis in a blood-carrying vessel is constructed. As distinct from the earlier developed model of the multienzyme prostacyclin-thromboxane system of blood, this model includes, for the first time, the influence of the level of “ba...
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| Дата: | 2019 |
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| Формат: | Стаття |
| Мова: | English |
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Publishing house "Academperiodika"
2019
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| Онлайн доступ: | https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019066 |
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| Назва журналу: | Ukrainian Journal of Physics |
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Ukrainian Journal of Physics| id |
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ujp2-article-20190662019-04-17T15:16:05Z Self-Organization and Chaos in the Metabolism of Hemostasis in a Blood Vessel Самоорганiзацiя та хаос в метаболiзмi гемостазу у кровоноснiй судинi Grytsay, V. I. hemostasis LDLs self-organization strange attractor phase-parametric diagram Lyapunov’s exponent KS-entropy - A mathematical model of the metabolic process of formation of the hemostasis in a blood-carrying vessel is constructed. As distinct from the earlier developed model of the multienzyme prostacyclin-thromboxane system of blood, this model includes, for the first time, the influence of the level of “bad cholesterol”, i.e., low-density lipoproteins (LDLs), on the hemostasis. The conditions, under which the self-organization of the system appears, and the modes of autooscillations and chaos in the metabolic process, which affects the formation of hemostasis and the development of thrombophilia, are found. With the aid of a phase-parametric diagram, the scenario of their appearance is studied. The bifurcations of doubling of a period and the transition to chaotic oscillations as a result of the intermittence are found. The obtained strange attractors are formed due to a mixing funnel. The full spectra of Lyapunov’s exponents, KS-entropies, “predictability horizons”, and Lyapunov’s dimensions of strange attractors are calculated. The reasons for a change in the cyclicity of the given metabolic process, its stability, and the physiological manifestation in the blood-carrying system are discussed. The role of physiologically active substances in a decrease in the level of cholesterol in blood vessels is estimated. В данiй роботi побудована математична модель метаболiчного процесу становлення гемостазу в кровоноснiй судинi. На вiдмiну вiд ранiш побудованої полiферментної простациклiн-тромбоксанової системи кровi, в цiй моделi вперше враховано вплив на гемостаз рiвня “поганого холестерина” – лiпопротеїдiв низької щiльностi (ЛПНЩ). Знайдено умови, при яких виникає самоорганiзацiя системи, утворюються режими автоколивань та хаосу в метаболiчному процесi, що впливає на становлення гемостазу та виникнення тромбофiлiї. За допомогою фазопараметричної дiаграми дослiджено сценарiй їх виникнення. Знайдено бiфуркацiї подвоєння перiоду та переходу до хаотичних коливань внаслiдок перемєжаємостi. Отриманi дивнi аттрактори утворюються внаслiдок воронки перемiшування. Розрахованi їх повнi спектри показникiв Ляпунова, КС-ентропiї, “горизонти передбачуваностi” i ляпуновськi розмiрностi дивних аттракторiв. Зроблено висновки про причини змiни циклiчностi в даному метаболiчному процесi, його стiйкостi i фiзiологiчному проявi в кровоноснiй системi. Оцiнено роль фiзiологiчно-активних речовин для зменшення рiвня холестерина в судинах. Publishing house "Academperiodika" 2019-01-05 Article Article Peer-reviewed Рецензована стаття application/pdf https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019066 10.15407/ujpe61.07.0648 Ukrainian Journal of Physics; Vol. 61 No. 7 (2016); 648 Український фізичний журнал; Том 61 № 7 (2016); 648 2071-0194 2071-0186 10.15407/ujpe61.07 en https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019066/956 Copyright (c) 2019 Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine |
| institution |
Ukrainian Journal of Physics |
| collection |
OJS |
| language |
English |
| topic |
hemostasis LDLs self-organization strange attractor phase-parametric diagram Lyapunov’s exponent KS-entropy - |
| spellingShingle |
hemostasis LDLs self-organization strange attractor phase-parametric diagram Lyapunov’s exponent KS-entropy - Grytsay, V. I. Самоорганiзацiя та хаос в метаболiзмi гемостазу у кровоноснiй судинi |
| topic_facet |
hemostasis LDLs self-organization strange attractor phase-parametric diagram Lyapunov’s exponent KS-entropy - |
| format |
Article |
| author |
Grytsay, V. I. |
| author_facet |
Grytsay, V. I. |
| author_sort |
Grytsay, V. I. |
| title |
Самоорганiзацiя та хаос в метаболiзмi гемостазу у кровоноснiй судинi |
| title_short |
Самоорганiзацiя та хаос в метаболiзмi гемостазу у кровоноснiй судинi |
| title_full |
Самоорганiзацiя та хаос в метаболiзмi гемостазу у кровоноснiй судинi |
| title_fullStr |
Самоорганiзацiя та хаос в метаболiзмi гемостазу у кровоноснiй судинi |
| title_full_unstemmed |
Самоорганiзацiя та хаос в метаболiзмi гемостазу у кровоноснiй судинi |
| title_sort |
самоорганiзацiя та хаос в метаболiзмi гемостазу у кровоноснiй судинi |
| title_alt |
Self-Organization and Chaos in the Metabolism of Hemostasis in a Blood Vessel |
| description |
A mathematical model of the metabolic process of formation of the hemostasis in a blood-carrying vessel is constructed. As distinct from the earlier developed model of the multienzyme prostacyclin-thromboxane system of blood, this model includes, for the first time, the influence of the level of “bad cholesterol”, i.e., low-density lipoproteins (LDLs), on the hemostasis. The conditions, under which the self-organization of the system appears, and the modes of autooscillations and chaos in the metabolic process, which affects the formation of hemostasis and the development of thrombophilia, are found. With the aid of a phase-parametric diagram, the scenario of their appearance is studied. The bifurcations of doubling of a period and the transition to chaotic oscillations as a result of the intermittence are found. The obtained strange attractors are formed due to a mixing funnel. The full spectra of Lyapunov’s exponents, KS-entropies, “predictability horizons”, and Lyapunov’s dimensions of strange attractors are calculated. The reasons for a change in the cyclicity of the given metabolic process, its stability, and the physiological manifestation in the blood-carrying system are discussed. The role of physiologically active substances in a decrease in the level of cholesterol in blood vessels is estimated. |
| publisher |
Publishing house "Academperiodika" |
| publishDate |
2019 |
| url |
https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019066 |
| work_keys_str_mv |
AT grytsayvi selforganizationandchaosinthemetabolismofhemostasisinabloodvessel AT grytsayvi samoorganizaciâtahaosvmetabolizmigemostazuukrovonosnijsudini |
| first_indexed |
2023-03-24T08:57:02Z |
| last_indexed |
2023-03-24T08:57:02Z |
| _version_ |
1795757656701403136 |