Identification of a chemotactic sensitivity in a coupled system
Chemotaxis is the process by which cells behave in a way that follows the chemical gradient. Applications to bacteria growth, tissue inflammation, and vascular tumors provide a focus on optimization strategies. Experiments can characterize the form of possible chemotactic sensitivities. This paper a...
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| creator | Fister, K. Renee McCarthy, Maeve L |
| description | Chemotaxis is the process by which cells behave in a way that follows the
chemical gradient. Applications to bacteria growth, tissue inflammation, and
vascular tumors provide a focus on optimization strategies. Experiments can
characterize the form of possible chemotactic sensitivities. This paper
addresses the recovery of the chemotactic sensitivity from these experiments
while allowing for nonlinear dependence of the parameter on the state
variables. The existence of solutions to the forward problem is analyzed. The
identification of a chemotactic parameter is determined by inverse problem
techniques. Tikhonov regularization is investigated and appropriate convergence
results are obtained. Numerical results of concentration dependent chemotactic
terms are explored. |
| doi_str_mv | 10.48550/arxiv.0707.2417 |
| format | Article |
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chemical gradient. Applications to bacteria growth, tissue inflammation, and
vascular tumors provide a focus on optimization strategies. Experiments can
characterize the form of possible chemotactic sensitivities. This paper
addresses the recovery of the chemotactic sensitivity from these experiments
while allowing for nonlinear dependence of the parameter on the state
variables. The existence of solutions to the forward problem is analyzed. The
identification of a chemotactic parameter is determined by inverse problem
techniques. Tikhonov regularization is investigated and appropriate convergence
results are obtained. Numerical results of concentration dependent chemotactic
terms are explored.</description><identifier>DOI: 10.48550/arxiv.0707.2417</identifier><language>eng</language><subject>Mathematics - Analysis of PDEs ; Mathematics - Optimization and Control</subject><creationdate>2007-07</creationdate><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/0707.2417$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.0707.2417$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Fister, K. Renee</creatorcontrib><creatorcontrib>McCarthy, Maeve L</creatorcontrib><title>Identification of a chemotactic sensitivity in a coupled system</title><description>Chemotaxis is the process by which cells behave in a way that follows the
chemical gradient. Applications to bacteria growth, tissue inflammation, and
vascular tumors provide a focus on optimization strategies. Experiments can
characterize the form of possible chemotactic sensitivities. This paper
addresses the recovery of the chemotactic sensitivity from these experiments
while allowing for nonlinear dependence of the parameter on the state
variables. The existence of solutions to the forward problem is analyzed. The
identification of a chemotactic parameter is determined by inverse problem
techniques. Tikhonov regularization is investigated and appropriate convergence
results are obtained. Numerical results of concentration dependent chemotactic
terms are explored.</description><subject>Mathematics - Analysis of PDEs</subject><subject>Mathematics - Optimization and Control</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj7FqwzAURbV0KGn2TkU_YFfysyx5KiWkaSDQJbt5lZ7og9gOlhriv2_cdrpcDhw4QjxqVdbOGPWM05UvpbLKllWt7b142QcaMkf2mHkc5BglSv9F_ZjRZ_Yy0ZA484XzLHlY4Ph9PlGQaU6Z-gdxF_GUaP2_K3F82x4378XhY7ffvB4KbIwtAFWDlrSpCG1NETU2rWqs1xEMaBdvyOhP31aqCgAQnL1dJBc8eNdaWImnP-1vQHeeuMdp7paQbgmBH33OQx8</recordid><startdate>20070716</startdate><enddate>20070716</enddate><creator>Fister, K. Renee</creator><creator>McCarthy, Maeve L</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20070716</creationdate><title>Identification of a chemotactic sensitivity in a coupled system</title><author>Fister, K. Renee ; McCarthy, Maeve L</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a657-3a06a7e152ea74efa1a69067c1f35318fe1551bc9202d333d8751bae8dc3c8973</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Mathematics - Analysis of PDEs</topic><topic>Mathematics - Optimization and Control</topic><toplevel>online_resources</toplevel><creatorcontrib>Fister, K. Renee</creatorcontrib><creatorcontrib>McCarthy, Maeve L</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Fister, K. Renee</au><au>McCarthy, Maeve L</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Identification of a chemotactic sensitivity in a coupled system</atitle><date>2007-07-16</date><risdate>2007</risdate><abstract>Chemotaxis is the process by which cells behave in a way that follows the
chemical gradient. Applications to bacteria growth, tissue inflammation, and
vascular tumors provide a focus on optimization strategies. Experiments can
characterize the form of possible chemotactic sensitivities. This paper
addresses the recovery of the chemotactic sensitivity from these experiments
while allowing for nonlinear dependence of the parameter on the state
variables. The existence of solutions to the forward problem is analyzed. The
identification of a chemotactic parameter is determined by inverse problem
techniques. Tikhonov regularization is investigated and appropriate convergence
results are obtained. Numerical results of concentration dependent chemotactic
terms are explored.</abstract><doi>10.48550/arxiv.0707.2417</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Analysis of PDEs Mathematics - Optimization and Control |
| title | Identification of a chemotactic sensitivity in a coupled system |
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