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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 Visualizza persona
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 Visualizza cluster
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  Visualizza cluster
ISBN: 3-030-95136-7
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910548277003321
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Serie: Simula SpringerBriefs on Computing : ; 10.