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Mathematical Modeling of the Human Brain

Mathematical Modeling of the Human Brain From Magnetic Resonance Images to Finite Element Simulation - Simula SpringerBriefs on Computing

1st Edition 2022

Paperback (26 Feb 2022)

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Publisher's Synopsis

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.


Book information

ISBN: 9783030951351
Publisher: Springer International Publishing
Imprint: Springer
Pub date:
Edition: 1st Edition 2022
Language: English
Number of pages: 118
Weight: 200g
Height: 235mm
Width: 155mm
Spine width: 7mm