Source:http://linkedlifedata.com/resource/pubmed/id/18632725
Switch to
Predicate | Object |
---|---|
rdf:type | |
lifeskim:mentions | |
pubmed:issue |
3
|
pubmed:dateCreated |
2008-9-1
|
pubmed:abstractText |
Chemotaxis is the process by which cells behave in a way that follows the chemical gradient. Applications to bacteria growth, tissue inflammation and vascular tumours 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 non-linear dependence of the parameter on the state variables. The existence of solutions to the forward problem is analysed. 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.
|
pubmed:grant | |
pubmed:language |
eng
|
pubmed:journal | |
pubmed:citationSubset |
IM
|
pubmed:status |
MEDLINE
|
pubmed:month |
Sep
|
pubmed:issn |
1477-8602
|
pubmed:author | |
pubmed:issnType |
Electronic
|
pubmed:volume |
25
|
pubmed:owner |
NLM
|
pubmed:authorsComplete |
Y
|
pubmed:pagination |
215-32
|
pubmed:dateRevised |
2008-11-21
|
pubmed:meshHeading | |
pubmed:year |
2008
|
pubmed:articleTitle |
Identification of a chemotactic sensitivity in a coupled system.
|
pubmed:affiliation |
Department of Mathematics and Statistics, Murray State University, Murray, KY 42071, USA. renee.fister@murraystate.edu
|
pubmed:publicationType |
Journal Article,
Research Support, U.S. Gov't, Non-P.H.S.,
Research Support, Non-U.S. Gov't
|