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Cover: 9783030951351 | Mathematical Modeling of the Human Brain | Kent-André Mardal (u. a.)
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Mathematical Modeling of the Human Brain
From Magnetic Resonance Images to Finite Element Simulation
Taschenbuch von Kent-André Mardal (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

This book is open access, which means that you have free and unlimited access.

Includes a step-by-step guide to constructing anatomical finite element brain meshes

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2022
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Simula SpringerBriefs on Computing
Inhalt: xvi
118 S.
7 s/w Illustr.
25 farbige Illustr.
118 p. 32 illus.
25 illus. in color.
ISBN-13: 9783030951351
ISBN-10: 3030951359
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Mardal, Kent-André
Valnes, Lars Magnus
Thompson, Travis B.
Rognes, Marie E.
Auflage: 1st ed. 2022
Hersteller: Springer International Publishing
Springer International Publishing AG
Simula SpringerBriefs on Computing
Maße: 235 x 155 x 8 mm
Von/Mit: Kent-André Mardal (u. a.)
Erscheinungsdatum: 26.02.2022
Gewicht: 0,219 kg
Artikel-ID: 120931802
Zusammenfassung

This book is open access, which means that you have free and unlimited access.

Includes a step-by-step guide to constructing anatomical finite element brain meshes

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2022
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Simula SpringerBriefs on Computing
Inhalt: xvi
118 S.
7 s/w Illustr.
25 farbige Illustr.
118 p. 32 illus.
25 illus. in color.
ISBN-13: 9783030951351
ISBN-10: 3030951359
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Mardal, Kent-André
Valnes, Lars Magnus
Thompson, Travis B.
Rognes, Marie E.
Auflage: 1st ed. 2022
Hersteller: Springer International Publishing
Springer International Publishing AG
Simula SpringerBriefs on Computing
Maße: 235 x 155 x 8 mm
Von/Mit: Kent-André Mardal (u. a.)
Erscheinungsdatum: 26.02.2022
Gewicht: 0,219 kg
Artikel-ID: 120931802
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