000 | 03726nam a22006255i 4500 | ||
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001 | 978-3-030-95136-8 | ||
003 | DE-He213 | ||
005 | 20240508090327.0 | ||
007 | cr nn 008mamaa | ||
008 | 220225s2022 sz | s |||| 0|eng d | ||
020 |
_a9783030951368 _9978-3-030-95136-8 |
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024 | 7 |
_a10.1007/978-3-030-95136-8 _2doi |
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050 | 4 | _aTA342-343 | |
072 | 7 |
_aPBWH _2bicssc |
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_aTBJ _2bicssc |
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_aTBJ _2thema |
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082 | 0 | 4 |
_a003.3 _223 |
100 | 1 |
_aMardal, Kent-André. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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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. |
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300 |
_aXVI, 118 p. 32 illus., 25 illus. in color. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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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. |
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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 |