Mathematical Modeling of the Human Brain: From Magnetic Resonance Images to Finite Element Simulation: Simula SpringerBriefs on Computing, cartea 10
Autor Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnesen Limba Engleză Paperback – 26 feb 2022
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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Specificații
ISBN-13: 9783030951351
ISBN-10: 3030951359
Pagini: 118
Ilustrații: XVI, 118 p. 32 illus., 25 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.2 kg
Ediția:1st ed. 2022
Editura: Springer International Publishing
Colecția Springer
Seria Simula SpringerBriefs on Computing
Locul publicării:Cham, Switzerland
ISBN-10: 3030951359
Pagini: 118
Ilustrații: XVI, 118 p. 32 illus., 25 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.2 kg
Ediția:1st ed. 2022
Editura: Springer International Publishing
Colecția Springer
Seria Simula SpringerBriefs on Computing
Locul publicării:Cham, Switzerland
Cuprins
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.
Recenzii
“The book represents an excellent introduction and hands-on guide to this important and exciting field, for applied mathematicians and image processing practitioners … . It is, perhaps, most beneficial, to electrical and computer science majors who wish to rapidly immerse themselves in the field, in a manner that is mathematically correct and sound, yet also practical.” (Emil Saucan, zbMATH 1501.92001, 2023)
Textul de pe ultima copertă
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.
Caracteristici
This book is open access, which means that you have free and unlimited access Includes a step-by-step guide to constructing anatomical finite element brain meshes