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dc.contributor.authorMardal, Kent-André
dc.contributor.authorRognes, Marie E.
dc.contributor.authorThompson, Travis B.
dc.contributor.authorValnes, Lars Magnus
dc.date.accessioned2022-03-16T04:02:33Z
dc.date.available2022-03-16T04:02:33Z
dc.date.issued2022
dc.date.submitted2022-03-15T07:53:44Z
dc.identifierONIX_20220314_9783030951368_61
dc.identifierhttps://library.oapen.org/handle/20.500.12657/53362
dc.identifier.urihttps://directory.doabooks.org/handle/20.500.12854/79362
dc.description.abstractThis open access book bridges common tools in medical imaging and neuroscience with the numerical solution of brain modelling PDEs. The connection between these areas is established through the use of two existing tools, FreeSurfer and FEniCS, and one novel tool, the SVM-Tk, developed for this book. The reader will learn the basics of magnetic resonance imaging and quickly proceed to generating their first FEniCS brain meshes from T1-weighted images. The book's presentation concludes with the reader solving a simplified PDE model of gadobutrol diffusion in the brain that incorporates diffusion tensor images, of various resolution, and complex, multi-domain, variable-resolution FEniCS meshes with detailed markings of anatomical brain regions. After completing this book, the reader will have a solid foundation for performing patient-specific finite element simulations of biomechanical models of the human brain.
dc.languageEnglish
dc.relation.ispartofseriesSimula SpringerBriefs on Computing
dc.rightsopen access
dc.subject.classificationbic Book Industry Communication::P Mathematics & science::PB Mathematics::PBW Applied mathematics::PBWH Mathematical modelling
dc.subject.classificationbic Book Industry Communication::P Mathematics & science::PD Science: general issues::PDE Maths for scientists
dc.subject.classificationbic Book Industry Communication::M Medicine::MF Pre-clinical medicine: basic sciences::MFG Physiology
dc.subject.classificationbic Book Industry Communication::P Mathematics & science::PB Mathematics::PBK Calculus & mathematical analysis::PBKS Numerical analysis
dc.subject.othermagnetic resonance imaging
dc.subject.otherMesh generation
dc.subject.othermathematical modeling
dc.subject.otherfinite element methods
dc.subject.otherscientific computing
dc.titleMathematical Modeling of the Human Brain
dc.title.alternativeFrom Magnetic Resonance Images to Finite Element Simulation
dc.typebook
oapen.identifier.doi10.1007/978-3-030-95136-8
oapen.relation.isPublishedBy9fa3421d-f917-4153-b9ab-fc337c396b5a
oapen.relation.isFundedBy2ec6bf1f-cf1b-4684-9be9-36e9eb1b2485
oapen.relation.isbn9783030951368
oapen.imprintSpringer
oapen.pages118
oapen.place.publicationCham
oapen.grant.number[grantnumber unknown]
dc.relationisFundedBy2ec6bf1f-cf1b-4684-9be9-36e9eb1b2485
dc.seriesnumber10


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open access
Except where otherwise noted, this item's license is described as open access