Mathematical Modeling of the Human Brain - From Magnetic Resonance Images to Finite Element Simulation (Paperback, 1st ed. 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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Simula SpringerBriefs on Computing, 10
Release date:	February 2022
First published:	2022
Authors:	Kent-Andre Mardal • Marie E. Rognes • Travis B. Thompson • Lars Magnus Valnes
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	118
Edition:	1st ed. 2022
ISBN-13:	978-3-03-095135-1
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Medicine > Pre-clinical medicine: basic sciences > Physiology > General Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling Promotions
LSN:	3-03-095135-9
Barcode:	9783030951351

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