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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.

9783030951368 (electronic bk.)
3030951367 (electronic bk.)
9783030951351 (print)
3030951359

Cham, Switzerland : Springer, 2022.

English

1 online resource (xvi, 118 pages) : illustrations (some color).

10.1007/978-3-030-95136-8 doi

RC386.6.M34

616.8/047548

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.

Includes bibliographical references and index.

Open access.

Online resource; title from PDF title page (SpringerLink, viewed March 3, 2022).

Simula SpringerBriefs on computing ; v. 10.

Print version: 9783030951351

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