TY  - BOOK
AU  - Mardal,Kent-André
AU  - Rognes,Marie E.
AU  - Thompson,Travis B.
AU  - Valnes,Lars Magnus
ED  - SpringerLink (Online service)
TI  - Mathematical Modeling of the Human Brain: From Magnetic Resonance Images to Finite Element Simulation 
T2  - Simula SpringerBriefs on Computing,
SN  - 9783030951368
U1  - 003.3 23
PY  - 2022///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Mathematical models
KW  - Biomathematics
KW  - Human physiology
KW  - Mathematics-Data processing
KW  - Mathematical Modeling and Industrial Mathematics
KW  - Mathematical and Computational Biology
KW  - Human Physiology
KW  - Computational Mathematics and Numerical Analysis
N1  - 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; Open Access
N2  - 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
UR  - https://doi.org/10.1007/978-3-030-95136-8
ER  -