Mathematical Modeling of the Human Brain : From Magnetic Resonance Images to Finite Element Simulation / Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes
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| Autore: |
Mardal Kent-André
|
| Titolo: |
Mathematical Modeling of the Human Brain : From Magnetic Resonance Images to Finite Element Simulation / Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes
|
| Pubblicazione: | Cham, : Springer Nature, 2022 |
| Cham : , : Springer International Publishing AG, , 2022 | |
| ©2022 | |
| Edizione: | 1st edition. |
| Descrizione fisica: | 1 online resource (129 pages) : (XVI, 118 p. 32 illus., 25 illus. in color. :) |
| Soggetto topico: | Human physiology |
| Biomathematics | |
| Mathematical models | |
| Cervell | |
| Imatges per ressonància magnètica | |
| Models matemàtics | |
| Soggetto genere / forma: | Llibres electrònics |
| Soggetto non controllato: | magnetic resonance imaging |
| Mesh generation | |
| mathematical modeling | |
| finite element methods | |
| scientific computing | |
| Altri autori: |
RognesMarie E
ThompsonTravis B
ValnesLars Magnus
|
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Mathematical Modeling of the Human Brain |
| ISBN: | 3-030-95136-7 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910548277003321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Simula SpringerBriefs on Computing : ; 10.