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020 _a9783030951368
_9978-3-030-95136-8
024 7 _a10.1007/978-3-030-95136-8
_2doi
050 4 _aTA342-343
072 7 _aPBWH
_2bicssc
072 7 _aTBJ
_2bicssc
072 7 _aMAT003000
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_223
100 1 _aMardal, Kent-André.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aMathematical Modeling of the Human Brain
_h[electronic resource] :
_bFrom Magnetic Resonance Images to Finite Element Simulation /
_cby Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes.
250 _a1st ed. 2022.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2022.
300 _aXVI, 118 p. 32 illus., 25 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSimula SpringerBriefs on Computing,
_x2512-1685 ;
_v10
505 0 _aIntroduction -- Working with magnetic resonance images of the brain -- From T1 images to numerical simulation -- Introducing heterogeneities -- Introducing directionality with diffusion tensors -- Simulating anisotropic diffusion in heterogeneous brain regions -- Concluding remarks and outlook -- References -- Index.
506 0 _aOpen Access
520 _aThis 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.
650 0 _aMathematical models.
650 0 _aBiomathematics.
650 0 _aHuman physiology.
650 0 _aMathematics
_xData processing.
650 1 4 _aMathematical Modeling and Industrial Mathematics.
650 2 4 _aMathematical and Computational Biology.
650 2 4 _aHuman Physiology.
650 2 4 _aComputational Mathematics and Numerical Analysis.
700 1 _aRognes, Marie E.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aThompson, Travis B.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aValnes, Lars Magnus.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030951351
776 0 8 _iPrinted edition:
_z9783030951375
830 0 _aSimula SpringerBriefs on Computing,
_x2512-1685 ;
_v10
856 4 0 _uhttps://doi.org/10.1007/978-3-030-95136-8
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-SOB
999 _c37752
_d37752