Format:
1 Online-Ressource(XVI, 118 p. 32 illus., 25 illus. in color.)
Edition:
1st ed. 2022.
ISBN:
9783030951368
Series Statement:
Simula SpringerBriefs on Computing 10
Content:
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.
Content:
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.
Note:
Open Access
Additional Edition:
ISBN 9783030951351
Additional Edition:
ISBN 9783030951375
Additional Edition:
Erscheint auch als Druck-Ausgabe Mardal, Kent-Andre Mathematical modeling of the human brain Cham, Switzerland : Springer Nature, 2022 ISBN 9783030951351
Language:
English
DOI:
10.1007/978-3-030-95136-8
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