Absolute Concentration Robustness in Rank-One Kinetic Systems
A kinetic system has an absolute concentration robustness (ACR) for a molecular species if its concentration remains the same in every positive steady state of the system. Just recently, a condition that sufficiently guarantees the existence of an ACR in a rank-one mass-action kinetic system was fou...
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| creator | Mendoza, Eduardo R Talabis, Dylan Antonio SJ Jose, Editha C Fontanil, Lauro L |
| description | A kinetic system has an absolute concentration robustness (ACR) for a
molecular species if its concentration remains the same in every positive
steady state of the system. Just recently, a condition that sufficiently
guarantees the existence of an ACR in a rank-one mass-action kinetic system was
found. In this paper, it will be shown that this ACR criterion does not extend
in general to power-law kinetic systems. Moreover, we also discussed in this
paper a necessary condition for ACR in multistationary rank-one kinetic system
which can be used in ACR analysis. Finally, a concept of equilibria variation
for kinetic systems which are based on the number of the system's ACR species
will be introduced here. |
| doi_str_mv | 10.48550/arxiv.2304.03611 |
| format | Article |
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molecular species if its concentration remains the same in every positive
steady state of the system. Just recently, a condition that sufficiently
guarantees the existence of an ACR in a rank-one mass-action kinetic system was
found. In this paper, it will be shown that this ACR criterion does not extend
in general to power-law kinetic systems. Moreover, we also discussed in this
paper a necessary condition for ACR in multistationary rank-one kinetic system
which can be used in ACR analysis. Finally, a concept of equilibria variation
for kinetic systems which are based on the number of the system's ACR species
will be introduced here.</description><identifier>DOI: 10.48550/arxiv.2304.03611</identifier><language>eng</language><subject>Mathematics - Dynamical Systems</subject><creationdate>2023-04</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2304.03611$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2304.03611$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Mendoza, Eduardo R</creatorcontrib><creatorcontrib>Talabis, Dylan Antonio SJ</creatorcontrib><creatorcontrib>Jose, Editha C</creatorcontrib><creatorcontrib>Fontanil, Lauro L</creatorcontrib><title>Absolute Concentration Robustness in Rank-One Kinetic Systems</title><description>A kinetic system has an absolute concentration robustness (ACR) for a
molecular species if its concentration remains the same in every positive
steady state of the system. Just recently, a condition that sufficiently
guarantees the existence of an ACR in a rank-one mass-action kinetic system was
found. In this paper, it will be shown that this ACR criterion does not extend
in general to power-law kinetic systems. Moreover, we also discussed in this
paper a necessary condition for ACR in multistationary rank-one kinetic system
which can be used in ACR analysis. Finally, a concept of equilibria variation
for kinetic systems which are based on the number of the system's ACR species
will be introduced here.</description><subject>Mathematics - Dynamical Systems</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj71qwzAURrVkKEkfoFP0AnYlX-sqGjoE0z8aCCTZjX6uQTSRi6WU5u3bpp0O33L4DmN3UtTtSilxb6ev-Fk3INpaAEp5wx7WLo_HcyHejclTKpMtcUx8N7pzLoly5vFn2fRebRPxt5ioRM_3l1zolBdsNthjptt_ztnh6fHQvVSb7fNrt95UFrWsUAuFQpOWDowN5EJwRgZNYJxB570Z7MojGgAVoGk0qRZD8DhIkEQK5mz5p73-7z-meLLTpf_t6K8d8A1QQUMh</recordid><startdate>20230407</startdate><enddate>20230407</enddate><creator>Mendoza, Eduardo R</creator><creator>Talabis, Dylan Antonio SJ</creator><creator>Jose, Editha C</creator><creator>Fontanil, Lauro L</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20230407</creationdate><title>Absolute Concentration Robustness in Rank-One Kinetic Systems</title><author>Mendoza, Eduardo R ; Talabis, Dylan Antonio SJ ; Jose, Editha C ; Fontanil, Lauro L</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a671-6705607e71b39adebddb91d7e39b96bcc9fa8c669335d3227e546ddc6f131ee53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics - Dynamical Systems</topic><toplevel>online_resources</toplevel><creatorcontrib>Mendoza, Eduardo R</creatorcontrib><creatorcontrib>Talabis, Dylan Antonio SJ</creatorcontrib><creatorcontrib>Jose, Editha C</creatorcontrib><creatorcontrib>Fontanil, Lauro L</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Mendoza, Eduardo R</au><au>Talabis, Dylan Antonio SJ</au><au>Jose, Editha C</au><au>Fontanil, Lauro L</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Absolute Concentration Robustness in Rank-One Kinetic Systems</atitle><date>2023-04-07</date><risdate>2023</risdate><abstract>A kinetic system has an absolute concentration robustness (ACR) for a
molecular species if its concentration remains the same in every positive
steady state of the system. Just recently, a condition that sufficiently
guarantees the existence of an ACR in a rank-one mass-action kinetic system was
found. In this paper, it will be shown that this ACR criterion does not extend
in general to power-law kinetic systems. Moreover, we also discussed in this
paper a necessary condition for ACR in multistationary rank-one kinetic system
which can be used in ACR analysis. Finally, a concept of equilibria variation
for kinetic systems which are based on the number of the system's ACR species
will be introduced here.</abstract><doi>10.48550/arxiv.2304.03611</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Dynamical Systems |
| title | Absolute Concentration Robustness in Rank-One Kinetic Systems |
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