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.
Mardal, Kent-André, author.; Rognes, Marie E. author.; Thompson, Travis B. author.; Valnes, Lars Magnus, author.
2022
RC386.6.M34
Available Online

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Title 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.
Author Mardal, Kent-André, author.
ISBN 9783030951368 (electronic bk.)
3030951367 (electronic bk.)
9783030951351 (print)
3030951359
DOI https://doi.org/10.1007/978-3-030-95136-8
Published Cham, Switzerland : Springer, 2022.
Language English
Description 1 online resource (xvi, 118 pages) : illustrations (some color).
Item Number 10.1007/978-3-030-95136-8 doi
Call Number RC386.6.M34
Dewey Decimal Classification 616.8/047548
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Open access.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed March 3, 2022).
Added Author Rognes, Marie E. author.
Thompson, Travis B. author.
Valnes, Lars Magnus, author.
Series Simula SpringerBriefs on computing ; v. 10.
Available in Other Form Print version: 9783030951351
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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.

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