Mathematical Modeling of the Human Brain From Magnetic Resonance Images to Finite Element Simulation
Materialtyp:
ArtikelSerie: Utgivningsinformation: Cham Springer Nature Springer [Imprint] 2022Beskrivning: 1 electronic resource (118 p.)Innehållstyp: - text
- computer
- online resource
- 9783030951368
- Medicine
- Pre-clinical medicine: basic sciences
- Physiology
- Mathematics and Science
- Mathematics
- Calculus and mathematical analysis
- Numerical analysis
- Applied mathematics
- Mathematical modelling
- Science: general issues
- Maths for scientists
- M Medicine and Nursing
- MF Pre-clinical medicine
- MFG Physiology
- Mesh generation
- P Mathematics and Science
- PB Mathematics
- PBK Calculus and mathematical analysis
- PBKS Numerical analysis
- PBW Applied mathematics
- PBWH Mathematical modelling
- PD Science
- PDE Maths for scientists
- basic sciences
- finite element methods
- general issues
- magnetic resonance imaging
- mathematical modeling
- scientific computing
- thema EDItEUR
Open Access Unrestricted online access star
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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Creative Commons Licence cc by cc http://creativecommons.org/licenses/by/4.0/
eng
Freely available e-book