Stability and reachability analysis for a controlled heterogeneous population of cells
Summary This article is devoted to the study of a controlled population of cells. The modeling of the problem leads to a mathematical formulation of stability and reachability properties of some controlled systems under uncertainties. We use the Hamilton‐Jacobi approach to address these problems and...
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| Veröffentlicht in: | Optimal control applications & methods 2020-09, Vol.41 (5), p.1678-1704 |
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| container_end_page | 1704 |
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| container_issue | 5 |
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| container_title | Optimal control applications & methods |
| container_volume | 41 |
| creator | Carrère, Cécile Zidani, Hasnaa |
| description | Summary
This article is devoted to the study of a controlled population of cells. The modeling of the problem leads to a mathematical formulation of stability and reachability properties of some controlled systems under uncertainties. We use the Hamilton‐Jacobi approach to address these problems and to design a numerical method that we analyze on several numerical simulations. |
| doi_str_mv | 10.1002/oca.2627 |
| format | Article |
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This article is devoted to the study of a controlled population of cells. The modeling of the problem leads to a mathematical formulation of stability and reachability properties of some controlled systems under uncertainties. We use the Hamilton‐Jacobi approach to address these problems and to design a numerical method that we analyze on several numerical simulations.</description><identifier>ISSN: 0143-2087</identifier><identifier>EISSN: 1099-1514</identifier><identifier>DOI: 10.1002/oca.2627</identifier><language>eng</language><publisher>Glasgow: Wiley Subscription Services, Inc</publisher><subject>Analysis of PDEs ; applications to chemotherapy ; Cancer ; Computer simulation ; Control stability ; dynamical programming ; Life Sciences ; Mathematical models ; Mathematics ; nonlinear optimal control ; Numerical Analysis ; Numerical methods ; Optimization and Control ; reachability analysis ; Stability analysis</subject><ispartof>Optimal control applications & methods, 2020-09, Vol.41 (5), p.1678-1704</ispartof><rights>2020 John Wiley & Sons, Ltd.</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3617-8185283ccffec4293761ca7932ec8a86623e42496b2b28f1632a9cec80e877693</citedby><cites>FETCH-LOGICAL-c3617-8185283ccffec4293761ca7932ec8a86623e42496b2b28f1632a9cec80e877693</cites><orcidid>0000-0003-3988-4010 ; 0000-0003-3583-6863</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Foca.2627$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Foca.2627$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>230,314,780,784,885,1417,27924,27925,45574,45575</link.rule.ids><backlink>$$Uhttps://hal.science/hal-01978686$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Carrère, Cécile</creatorcontrib><creatorcontrib>Zidani, Hasnaa</creatorcontrib><title>Stability and reachability analysis for a controlled heterogeneous population of cells</title><title>Optimal control applications & methods</title><description>Summary
This article is devoted to the study of a controlled population of cells. The modeling of the problem leads to a mathematical formulation of stability and reachability properties of some controlled systems under uncertainties. We use the Hamilton‐Jacobi approach to address these problems and to design a numerical method that we analyze on several numerical simulations.</description><subject>Analysis of PDEs</subject><subject>applications to chemotherapy</subject><subject>Cancer</subject><subject>Computer simulation</subject><subject>Control stability</subject><subject>dynamical programming</subject><subject>Life Sciences</subject><subject>Mathematical models</subject><subject>Mathematics</subject><subject>nonlinear optimal control</subject><subject>Numerical Analysis</subject><subject>Numerical methods</subject><subject>Optimization and Control</subject><subject>reachability analysis</subject><subject>Stability analysis</subject><issn>0143-2087</issn><issn>1099-1514</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp10MtKAzEUBuAgCtYq-AgBN7qYmpxMc1mWolYodOFlG9I0Y6fEyZjMKPP2Th0vK1cHzvn44fwInVMyoYTAdbBmAhzEARpRolRGpzQ_RCNCc5YBkeIYnaS0I4QIymCEnh8asy592XTYVBscnbHbv4XxXSoTLkLEBttQNTF47zZ46xoXw4urXGgTrkPdetOUocKhwNZ5n07RUWF8cmffc4yebm8e54tsubq7n8-WmWWcikxSOQXJrC0KZ3NQTHBqjVAMnJVGcg7M5ZArvoY1yIJyBkbZ_kacFIIrNkZXQ-7WeF3H8tXETgdT6sVsqfc7QpWQXPJ36O3FYOsY3lqXGr0Lbex_TBpypuhP4uWgbAwpRVf8xlKi9w3rvmG9b7in2UA_Su-6f51ezWdf_hNNzHtz</recordid><startdate>202009</startdate><enddate>202009</enddate><creator>Carrère, Cécile</creator><creator>Zidani, Hasnaa</creator><general>Wiley Subscription Services, Inc</general><general>Wiley</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>1XC</scope><scope>VOOES</scope><orcidid>https://orcid.org/0000-0003-3988-4010</orcidid><orcidid>https://orcid.org/0000-0003-3583-6863</orcidid></search><sort><creationdate>202009</creationdate><title>Stability and reachability analysis for a controlled heterogeneous population of cells</title><author>Carrère, Cécile ; Zidani, Hasnaa</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3617-8185283ccffec4293761ca7932ec8a86623e42496b2b28f1632a9cec80e877693</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Analysis of PDEs</topic><topic>applications to chemotherapy</topic><topic>Cancer</topic><topic>Computer simulation</topic><topic>Control stability</topic><topic>dynamical programming</topic><topic>Life Sciences</topic><topic>Mathematical models</topic><topic>Mathematics</topic><topic>nonlinear optimal control</topic><topic>Numerical Analysis</topic><topic>Numerical methods</topic><topic>Optimization and Control</topic><topic>reachability analysis</topic><topic>Stability analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Carrère, Cécile</creatorcontrib><creatorcontrib>Zidani, Hasnaa</creatorcontrib><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>Optimal control applications & methods</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Carrère, Cécile</au><au>Zidani, Hasnaa</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Stability and reachability analysis for a controlled heterogeneous population of cells</atitle><jtitle>Optimal control applications & methods</jtitle><date>2020-09</date><risdate>2020</risdate><volume>41</volume><issue>5</issue><spage>1678</spage><epage>1704</epage><pages>1678-1704</pages><issn>0143-2087</issn><eissn>1099-1514</eissn><abstract>Summary
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| identifier | ISSN: 0143-2087 |
| ispartof | Optimal control applications & methods, 2020-09, Vol.41 (5), p.1678-1704 |
| issn | 0143-2087 1099-1514 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_01978686v2 |
| source | Wiley Journals |
| subjects | Analysis of PDEs applications to chemotherapy Cancer Computer simulation Control stability dynamical programming Life Sciences Mathematical models Mathematics nonlinear optimal control Numerical Analysis Numerical methods Optimization and Control reachability analysis Stability analysis |
| title | Stability and reachability analysis for a controlled heterogeneous population of cells |
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