001431307 000__ 03393cam\a2200553Ii\4500 001431307 001__ 1431307 001431307 003__ OCoLC 001431307 005__ 20230308003230.0 001431307 006__ m\\\\\o\\d\\\\\\\\ 001431307 007__ cr\un\nnnunnun 001431307 008__ 220303s2022\\\\sz\a\\\\ob\\\\001\0\eng\d 001431307 019__ $$a1301449703$$a1301481076$$a1301905704 001431307 020__ $$a9783030951368$$q(electronic bk.) 001431307 020__ $$a3030951367$$q(electronic bk.) 001431307 020__ $$z9783030951351$$q(print) 001431307 020__ $$z3030951359 001431307 0247_ $$a10.1007/978-3-030-95136-8$$2doi 001431307 035__ $$aSP(OCoLC)1301515755 001431307 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dOCLCO$$dEBLCP$$dOCLCQ 001431307 049__ $$aISEA 001431307 050_4 $$aRC386.6.M34 001431307 08204 $$a616.8/047548$$223 001431307 1001_ $$aMardal, Kent-André,$$eauthor. 001431307 24510 $$aMathematical modeling of the human brain :$$bfrom magnetic resonance images to finite element simulation /$$cKent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes. 001431307 264_1 $$aCham, Switzerland :$$bSpringer,$$c2022. 001431307 300__ $$a1 online resource (xvi, 118 pages) :$$billustrations (some color). 001431307 336__ $$atext$$btxt$$2rdacontent 001431307 337__ $$acomputer$$bc$$2rdamedia 001431307 338__ $$aonline resource$$bcr$$2rdacarrier 001431307 4901_ $$aSimula SpringerBriefs on computing,$$x2512-1685 ;$$vvolume 10 001431307 504__ $$aIncludes bibliographical references and index. 001431307 5050_ $$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. 001431307 5060_ $$aOpen access.$$5GW5XE 001431307 520__ $$aThis open access book bridges common tools in medical imaging and neuroscience with the numerical solution of brain modelling PDEs. The connection between these areas is established through the use of two existing tools, FreeSurfer and FEniCS, and one novel tool, the SVM-Tk, developed for this book. The reader will learn the basics of magnetic resonance imaging and quickly proceed to generating their first FEniCS brain meshes from T1-weighted images. The book's presentation concludes with the reader solving a simplified PDE model of gadobutrol diffusion in the brain that incorporates diffusion tensor images, of various resolution, and complex, multi-domain, variable-resolution FEniCS meshes with detailed markings of anatomical brain regions. After completing this book, the reader will have a solid foundation for performing patient-specific finite element simulations of biomechanical models of the human brain. 001431307 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 3, 2022). 001431307 650_0 $$aBrain$$xMagnetic resonance imaging$$xMathematical models. 001431307 650_6 $$aCerveau$$xImagerie par résonance magnétique$$xModèles mathématiques. 001431307 655_0 $$aElectronic books. 001431307 7001_ $$aRognes, Marie E.$$eauthor. 001431307 7001_ $$aThompson, Travis B.$$eauthor. 001431307 7001_ $$aValnes, Lars Magnus,$$eauthor. 001431307 77608 $$iPrint version: $$z3030951359$$z9783030951351$$w(OCoLC)1289365363 001431307 830_0 $$aSimula SpringerBriefs on computing ;$$vv. 10. 001431307 852__ $$bebk 001431307 85640 $$3Springer Nature$$uhttps://link.springer.com/10.1007/978-3-030-95136-8$$zOnline Access$$91397441.2 001431307 909CO $$ooai:library.usi.edu:1431307$$pGLOBAL_SET 001431307 980__ $$aBIB 001431307 980__ $$aEBOOK 001431307 982__ $$aEbook 001431307 983__ $$aOnline 001431307 994__ $$a92$$bISE