Identification of the thermal growth characteristics of coagulated tumor tissue in laser-induced thermotherapy
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1600 | |
dc.contributor.author | Hömberg, Dietmar | |
dc.contributor.author | Liu, Jujun | |
dc.contributor.author | Togobytska, Nataliya | |
dc.date.accessioned | 2016-03-24T17:39:04Z | |
dc.date.available | 2019-06-28T08:08:41Z | |
dc.date.issued | 2011 | |
dc.description.abstract | We consider an inverse problem arising in laser-induced thermotherapy, a minimally invasive method for cancer treatment, in which cancer tissues is destroyed by coagulation. For the dosage planning numerical simulation play an important role. To this end a crucial problem is to identify the thermal growth kinetics of the coagulated zone. Mathematically, this problem is a nonlinear and nonlocal parabolic heat source inverse problem. The solution to this inverse problem is defined as the minimizer of a nonconvex cost functional. The existence of the minimizer is proven. We derive the Gateaux derivative of the cost functional, which is based on the adjoint system, and use it for a numerical approximation of the optimal coefficient. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/2530 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2599 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Inverse problem | eng |
dc.subject.other | nonlinear equation | eng |
dc.subject.other | optimal control | eng |
dc.subject.other | iteration scheme | eng |
dc.subject.other | coupled system | eng |
dc.subject.other | numerics | eng |
dc.title | Identification of the thermal growth characteristics of coagulated tumor tissue in laser-induced thermotherapy | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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