Authors:
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
Part of the book series: Simula SpringerBriefs on Computing (SBRIEFSC, volume 10)
Buying options
Table of contents (7 chapters)
-
Front Matter
-
Back Matter
About this book
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.
Keywords
- Open Access
- magnetic resonance imaging
- Mesh generation
- mathematical modeling
- finite element methods
- scientific computing
Reviews
Authors and Affiliations
-
Department of Mathematics, University of Oslo, Lysaker, Norway
Kent-André Mardal
-
Biocomp CBC 1-2118, Simula Research Laboratory, Fornebu, Norway
Marie E. Rognes
-
Mathematical Institute, Oxford University, Oxford, UK
Travis B. Thompson
-
Rikshospitalet, Oslo University Hospital, Oslo, Norway
Lars Magnus Valnes
Bibliographic Information
Book Title: Mathematical Modeling of the Human Brain
Book Subtitle: From Magnetic Resonance Images to Finite Element Simulation
Authors: Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes
Series Title: Simula SpringerBriefs on Computing
DOI: https://doi.org/10.1007/978-3-030-95136-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2022
License: CC BY
Softcover ISBN: 978-3-030-95135-1Published: 26 February 2022
eBook ISBN: 978-3-030-95136-8Published: 25 February 2022
Series ISSN: 2512-1677
Series E-ISSN: 2512-1685
Edition Number: 1
Number of Pages: XVI, 118
Number of Illustrations: 7 b/w illustrations, 25 illustrations in colour
Topics: Mathematical Modeling and Industrial Mathematics, Mathematical and Computational Biology, Human Physiology, Computational Mathematics and Numerical Analysis