Transition to Chaos in the Kinetic Model of Cellulose Hydrolysis Under Enzyme Biosynthesis Control
In the paper the kinetic model of the biochemical process of cellulose hydrolysis with cell application is presented. The model includes enzyme biosynthesis control and is open conditions it represents the dynamical system in the preturbulent regime. The limit cycle and its five consequence bifurcat...
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creator | Zhokhin, A. S Gachok, V. P |
description | In the paper the kinetic model of the biochemical process of cellulose
hydrolysis with cell application is presented. The model includes enzyme
biosynthesis control and is open conditions it represents the dynamical system
in the preturbulent regime. The limit cycle and its five consequence
bifurcations of the doubling-period type are found. Also the limit regime of
the system - the strange attractor - is presented. |
doi_str_mv | 10.48550/arxiv.1707.08914 |
format | Article |
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hydrolysis with cell application is presented. The model includes enzyme
biosynthesis control and is open conditions it represents the dynamical system
in the preturbulent regime. The limit cycle and its five consequence
bifurcations of the doubling-period type are found. Also the limit regime of
the system - the strange attractor - is presented.</description><identifier>DOI: 10.48550/arxiv.1707.08914</identifier><language>eng</language><subject>Physics - Adaptation and Self-Organizing Systems ; Quantitative Biology - Cell Behavior</subject><creationdate>2017-07</creationdate><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>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1707.08914$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1707.08914$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Zhokhin, A. S</creatorcontrib><creatorcontrib>Gachok, V. P</creatorcontrib><title>Transition to Chaos in the Kinetic Model of Cellulose Hydrolysis Under Enzyme Biosynthesis Control</title><description>In the paper the kinetic model of the biochemical process of cellulose
hydrolysis with cell application is presented. The model includes enzyme
biosynthesis control and is open conditions it represents the dynamical system
in the preturbulent regime. The limit cycle and its five consequence
bifurcations of the doubling-period type are found. Also the limit regime of
the system - the strange attractor - is presented.</description><subject>Physics - Adaptation and Self-Organizing Systems</subject><subject>Quantitative Biology - Cell Behavior</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj01OxCAAhdm4MKMHcCUXaIUCBZZKRsc4xk1dN1AgQ8KAgWqsp7czunoveT_JB8ANRi0VjKE7Xb7DV4s54i0SEtNLYIaiUw1zyAnOGaqDzhWG1R8cfAnJzWGCr9m6CLOHysX4GXN1cLfYkuNSQ4XvyboCt-lnOTr4EHJd0jo-JSqneW1dgQuvY3XX_7oBw-N2ULtm__b0rO73je45bQzDkyNcCkmdRtL0ErGJWGI8o1LYTiKKBbcd4702BHvPRSetoRPy3vJOkg24_bs9Q44fJRx1WcYT7HiGJb-bg1Ay</recordid><startdate>20170727</startdate><enddate>20170727</enddate><creator>Zhokhin, A. S</creator><creator>Gachok, V. P</creator><scope>ALA</scope><scope>ALC</scope><scope>GOX</scope></search><sort><creationdate>20170727</creationdate><title>Transition to Chaos in the Kinetic Model of Cellulose Hydrolysis Under Enzyme Biosynthesis Control</title><author>Zhokhin, A. S ; Gachok, V. P</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a674-b51ce379894ea09b6905c3d3bf5498d2904187d2576ab31ff7829db4c0ffd7293</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Physics - Adaptation and Self-Organizing Systems</topic><topic>Quantitative Biology - Cell Behavior</topic><toplevel>online_resources</toplevel><creatorcontrib>Zhokhin, A. S</creatorcontrib><creatorcontrib>Gachok, V. P</creatorcontrib><collection>arXiv Nonlinear Science</collection><collection>arXiv Quantitative Biology</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Zhokhin, A. S</au><au>Gachok, V. P</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Transition to Chaos in the Kinetic Model of Cellulose Hydrolysis Under Enzyme Biosynthesis Control</atitle><date>2017-07-27</date><risdate>2017</risdate><abstract>In the paper the kinetic model of the biochemical process of cellulose
hydrolysis with cell application is presented. The model includes enzyme
biosynthesis control and is open conditions it represents the dynamical system
in the preturbulent regime. The limit cycle and its five consequence
bifurcations of the doubling-period type are found. Also the limit regime of
the system - the strange attractor - is presented.</abstract><doi>10.48550/arxiv.1707.08914</doi><oa>free_for_read</oa></addata></record> |
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subjects | Physics - Adaptation and Self-Organizing Systems Quantitative Biology - Cell Behavior |
title | Transition to Chaos in the Kinetic Model of Cellulose Hydrolysis Under Enzyme Biosynthesis Control |
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