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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.
Cervell --- Imatges per ressonància magnètica --- Models matemàtics --- Human physiology. --- Biomathematics. --- Mathematical models. --- Cap --- Craniologia --- Encèfal --- Sistema nerviós central --- Bulb raquidi --- Cerebel --- Escorça cerebral --- Evolució del cervell --- Frenologia --- Hipòfisi --- Líquid cefalorraquidi --- Memòria --- Neurones motores --- Neuropsicologia --- Neuropsiquiatria --- Psicologia --- Sistema límbic --- Somnis --- Son --- Tàlem (Anatomia) --- Tronc de l'encèfal --- Cirurgia cerebral --- Mètodes de simulació --- Anàlisi de sistemes --- Mètode de Montecarlo --- Modelització multiescala --- Models economètrics --- Models lineals (Estadística) --- Models multinivell (Estadística) --- Models no lineals (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Diagnòstic per la imatge --- Diagnòstic per ressonància magnètica nuclear --- IRM --- MR Imaging --- MRI --- Tomografia per ressonància magnètica nuclear --- Simulation methods --- Models, Mathematical --- Biology --- Mathematics --- Human biology --- Medical sciences --- Physiology --- Human body --- magnetic resonance imaging --- Mesh generation --- mathematical modeling --- finite element methods --- scientific computing
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