國立虎尾科技大學 |

Mathematical Modeling of the Human Brain = From Magnetic Resonance Images to Finite Element Simulation /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Mathematical Modeling of the Human Brain/ by Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes.
其他題名:	From Magnetic Resonance Images to Finite Element Simulation /
作者:	Mardal, Kent-André.
其他作者:	Rognes, Marie E.
面頁冊數:	XVI, 118 p. 32 illus., 25 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical models. -
電子資源:	https://doi.org/10.1007/978-3-030-95136-8
ISBN:	9783030951368

Mathematical Modeling of the Human Brain = From Magnetic Resonance Images to Finite Element Simulation /
Mardal, Kent-André.

Mathematical Modeling of the Human BrainFrom Magnetic Resonance Images to Finite Element Simulation /[electronic resource] :by Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes. - 1st ed. 2022. - XVI, 118 p. 32 illus., 25 illus. in color.online resource. - Simula SpringerBriefs on Computing,102512-1685 ;. - Simula SpringerBriefs on Computing,1.

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

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.

ISBN: 9783030951368

Standard No.: 10.1007/978-3-030-95136-8doiSubjects--Topical Terms:

527886
Mathematical models.

LC Class. No.: TA342-343

Dewey Class. No.: 003.3

Mathematical Modeling of the Human Brain = From Magnetic Resonance Images to Finite Element Simulation /
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