03906nam 22007455 450 991054827700332120251113204113.03-030-95136-710.1007/978-3-030-95136-8(CKB)5590000000896792(MiAaPQ)EBC6897088(Au-PeEL)EBL6897088(OCoLC)1308501391(oapen)https://directory.doabooks.org/handle/20.500.12854/79362(PPN)260828440(ODN)ODN0010071836(oapen)doab79362(DE-He213)978-3-030-95136-8(iGPub)SPNA0088255(EXLCZ)99559000000089679220220225d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMathematical Modeling of the Human Brain From Magnetic Resonance Images to Finite Element Simulation /by Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes1st ed. 2022.Cham :Springer International Publishing :Imprint: Springer,2022.1 online resource (129 pages) (XVI, 118 p. 32 illus., 25 illus. in color. :)Simula SpringerBriefs on Computing,2512-1685 ;103-030-95135-9 Includes bibliographical references and index.Introduction -- 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.This 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.Simula SpringerBriefs on Computing,2512-1685 ;10Mathematical modelsBiomathematicsHuman physiologyMathematicsData processingMathematical Modeling and Industrial MathematicsMathematical and Computational BiologyHuman PhysiologyComputational Mathematics and Numerical AnalysisMathematical models.Biomathematics.Human physiology.MathematicsData processing.Mathematical Modeling and Industrial Mathematics.Mathematical and Computational Biology.Human Physiology.Computational Mathematics and Numerical Analysis.003.3MAT003000MAT006000MED075000bisacshMardal Kent-Andre781355Rognes Marie E1214682Thompson Travis B96200Valnes Lars Magnus1214683MiAaPQMiAaPQMiAaPQBOOK9910548277003321Mathematical Modeling of the Human Brain2804638UNINA