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dc.contributor.authorHanson, Erik Andreas
dc.contributor.authorHodneland, Erlend
dc.contributor.authorLorentzen, Rolf Johan
dc.contributor.authorNævdal, Geir
dc.contributor.authorNordbotten, Jan Martin
dc.contributor.authorSævareid, Ove
dc.contributor.authorZanna, Antonella
dc.contributor.editorRadu, Florin Adrian
dc.contributor.editorKumar, Kundan
dc.contributor.editorBerre, Inga
dc.contributor.editorNordbotten, Jan Martin
dc.contributor.editorPop, Iuliu Sorin
dc.date.accessioned2020-05-28T09:16:45Z
dc.date.available2020-05-28T09:16:45Z
dc.date.issued2019
dc.PublishedHanson E.A. et al. (2019) Mathematics and Medicine: How Mathematics, Modelling and Simulations Can Lead to Better Diagnosis and Treatments. In: Radu F., Kumar K., Berre I., Nordbotten J., Pop I. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2017. ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol 126. Springer, Chameng
dc.identifier.urihttps://hdl.handle.net/1956/22390
dc.description.abstractStarting with the discovery of X-rays by Röntgen in 1895, the progress in medical imaging has been extraordinary and immensely beneficial to diagnosis and therapy. Parallel to the increase of imaging accuracy, there is the quest of moving from qualitative to quantitative analysis and patient-tailored therapy. Mathematics, modelling and simulations are increasing their importance as tools in this quest. In this paper we give an overview of relations between mathematical modelling and imaging and focus particularly on the estimation of perfusion in the brain. In the forward model, the brain is treated as a porous medium and a two compartment model (arterial/venous) is used. Motivated by the similarity with techniques in reservoir modelling, we propose an ensemble Kalman filter to perform the parameter estimation and apply the method to a simple example as an illustrative example.en_US
dc.language.isoengeng
dc.publisherSpringeren_US
dc.relation.ispartofseriesLecture Notes in Computational Science and Engineeringeng
dc.titleMathematics and Medicine: How mathematics, modelling and simulations can lead to better diagnosis and treatmentsen_US
dc.typeChapter
dc.typePeer reviewed
dc.typeJournal article
dc.date.updated2020-02-18T12:46:47Z
dc.description.versionacceptedVersionen_US
dc.rights.holderCopyright 2019 Springeren_US
dc.identifier.doihttps://doi.org/10.1007/978-3-319-96415-7_4
dc.identifier.cristin1651253
dc.source.journalLecture Notes in Computational Science and Engineering
dc.relation.projectNorges forskningsråd: 262203


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