Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Mathematical Modeling of the Human Brain: From Magnetic Resonance Images to Finite Element Simulation

Mathematical Modeling of the Human Brain: From Magnetic Resonance Images to Finite Element Simulation

Rognes, Marie E.
Mardal, Kent-André
Thompson, Travis B.

Paperback

Series: Simula Springerbriefs on Computing, Book 10

Medical ReferenceGeneral Mathematics

ISBN10: 3030951359
ISBN13: 9783030951351
Publisher: Springer Nature
Published: Feb 26 2022
Pages: 118
Weight: 0.44
Height: 0.29 Width: 6.14 Depth: 9.21
Language: English

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.

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