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＜電子ブック＞
Mathematical 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 Valnes
(Simula SpringerBriefs on Computing. ISSN:25121685 ; 10)

版	1st ed. 2022.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2022
大きさ	XVI, 118 p. 32 illus., 25 illus. in color : online resource
著者標目	*Mardal, Kent-André author Rognes, Marie E author Thompson, Travis B author Valnes, Lars Magnus author SpringerLink (Online service)
件　名	LCSH:Mathematical models LCSH:Biomathematics LCSH:Human physiology LCSH:Mathematics—Data processing FREE:Mathematical Modeling and Industrial Mathematics FREE:Mathematical and Computational Biology FREE:Human Physiology FREE:Computational Mathematics and Numerical Analysis
一般注記	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 Open Access 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 HTTP:URL=https://doi.org/10.1007/978-3-030-95136-8

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