Self-Organization and Chaos in the Metabolism of Hemostasis in a Blood Vessel
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 &qu...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2017-07 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Grytsay, V I |
| 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 indices, 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. |
| doi_str_mv | 10.48550/arxiv.1707.05372 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_1707_05372</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2075764643</sourcerecordid><originalsourceid>FETCH-LOGICAL-a523-cb8ab5985da69c9feb11e04c08689d2a2197c9668c26edc24e863ae4d6bf87203</originalsourceid><addsrcrecordid>eNotj01PwkAURScmJhLkB7hyEtfF6ZvPLpWomEBYSNw2r-2rDCkd7BSj_nqwuLqLe3JzD2M3qZgqp7W4x-7bf01TK-xUaGnhgo1AyjRxCuCKTWLcCiHAWNBajtjyjZo6WXUf2Ppf7H1oObYVn20wRO5b3m-IL6nHIjQ-7nio-Zx2IfYY_dAjf2xCqPg7xUjNNbussYk0-c8xWz8_rWfzZLF6eZ09LBLUIJOycFjozOkKTVZmNRVpSkKVwhmXVYCQZrbMjHElGKpKUOSMRFKVKWpnQcgxuz3PDq75vvM77H7yP-d8cD4Rd2di34XPA8U-34ZD154-5SCstkYZJeURmFZY4g</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2075764643</pqid></control><display><type>article</type><title>Self-Organization and Chaos in the Metabolism of Hemostasis in a Blood Vessel</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Grytsay, V I</creator><creatorcontrib>Grytsay, V I</creatorcontrib><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 indices, 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.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1707.05372</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Bifurcations ; Blood vessels ; Chaos theory ; Cholesterol ; Hemostatics ; Lipoproteins ; Metabolism ; Physics - Adaptation and Self-Organizing Systems ; Physics - Chaotic Dynamics ; Quantitative Biology - Tissues and Organs ; Strange attractors</subject><ispartof>arXiv.org, 2017-07</ispartof><rights>2017. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,780,881,27902</link.rule.ids><backlink>$$Uhttps://doi.org/10.15407/ujpe61.07.0648$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.1707.05372$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Grytsay, V I</creatorcontrib><title>Self-Organization and Chaos in the Metabolism of Hemostasis in a Blood Vessel</title><title>arXiv.org</title><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 indices, 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.</description><subject>Bifurcations</subject><subject>Blood vessels</subject><subject>Chaos theory</subject><subject>Cholesterol</subject><subject>Hemostatics</subject><subject>Lipoproteins</subject><subject>Metabolism</subject><subject>Physics - Adaptation and Self-Organizing Systems</subject><subject>Physics - Chaotic Dynamics</subject><subject>Quantitative Biology - Tissues and Organs</subject><subject>Strange attractors</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><sourceid>GOX</sourceid><recordid>eNotj01PwkAURScmJhLkB7hyEtfF6ZvPLpWomEBYSNw2r-2rDCkd7BSj_nqwuLqLe3JzD2M3qZgqp7W4x-7bf01TK-xUaGnhgo1AyjRxCuCKTWLcCiHAWNBajtjyjZo6WXUf2Ppf7H1oObYVn20wRO5b3m-IL6nHIjQ-7nio-Zx2IfYY_dAjf2xCqPg7xUjNNbussYk0-c8xWz8_rWfzZLF6eZ09LBLUIJOycFjozOkKTVZmNRVpSkKVwhmXVYCQZrbMjHElGKpKUOSMRFKVKWpnQcgxuz3PDq75vvM77H7yP-d8cD4Rd2di34XPA8U-34ZD154-5SCstkYZJeURmFZY4g</recordid><startdate>20170714</startdate><enddate>20170714</enddate><creator>Grytsay, V I</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>ALA</scope><scope>ALC</scope><scope>GOX</scope></search><sort><creationdate>20170714</creationdate><title>Self-Organization and Chaos in the Metabolism of Hemostasis in a Blood Vessel</title><author>Grytsay, V I</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a523-cb8ab5985da69c9feb11e04c08689d2a2197c9668c26edc24e863ae4d6bf87203</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Bifurcations</topic><topic>Blood vessels</topic><topic>Chaos theory</topic><topic>Cholesterol</topic><topic>Hemostatics</topic><topic>Lipoproteins</topic><topic>Metabolism</topic><topic>Physics - Adaptation and Self-Organizing Systems</topic><topic>Physics - Chaotic Dynamics</topic><topic>Quantitative Biology - Tissues and Organs</topic><topic>Strange attractors</topic><toplevel>online_resources</toplevel><creatorcontrib>Grytsay, V I</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv Nonlinear Science</collection><collection>arXiv Quantitative Biology</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Grytsay, V I</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Self-Organization and Chaos in the Metabolism of Hemostasis in a Blood Vessel</atitle><jtitle>arXiv.org</jtitle><date>2017-07-14</date><risdate>2017</risdate><eissn>2331-8422</eissn><abstract>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 indices, 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.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1707.05372</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2017-07 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_1707_05372 |
| source | arXiv.org; Free E- Journals |
| subjects | Bifurcations Blood vessels Chaos theory Cholesterol Hemostatics Lipoproteins Metabolism Physics - Adaptation and Self-Organizing Systems Physics - Chaotic Dynamics Quantitative Biology - Tissues and Organs Strange attractors |
| title | Self-Organization and Chaos in the Metabolism of Hemostasis in a Blood Vessel |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-03T03%3A25%3A46IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Self-Organization%20and%20Chaos%20in%20the%20Metabolism%20of%20Hemostasis%20in%20a%20Blood%20Vessel&rft.jtitle=arXiv.org&rft.au=Grytsay,%20V%20I&rft.date=2017-07-14&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.1707.05372&rft_dat=%3Cproquest_arxiv%3E2075764643%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2075764643&rft_id=info:pmid/&rfr_iscdi=true |