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Titlebook: Mathematical Modeling of the Human Brain; From Magnetic Resona Kent-André Mardal,Marie E. Rognes,Lars Magnus Valn Book‘‘‘‘‘‘‘‘ 2022 The Aut

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发表于 2025-3-21 19:37:35 | 显示全部楼层 |阅读模式
书目名称Mathematical Modeling of the Human Brain
副标题From Magnetic Resona
编辑Kent-André Mardal,Marie E. Rognes,Lars Magnus Valn
视频video
概述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
丛书名称Simula SpringerBriefs on Computing
图书封面Titlebook: Mathematical Modeling of the Human Brain; From Magnetic Resona Kent-André Mardal,Marie E. Rognes,Lars Magnus Valn Book‘‘‘‘‘‘‘‘ 2022 The Aut
描述.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..
出版日期Book‘‘‘‘‘‘‘‘ 2022
关键词Open Access; magnetic resonance imaging; Mesh generation; mathematical modeling; finite element methods;
版次1
doihttps://doi.org/10.1007/978-3-030-95136-8
isbn_softcover978-3-030-95135-1
isbn_ebook978-3-030-95136-8Series ISSN 2512-1677 Series E-ISSN 2512-1685
issn_series 2512-1677
copyrightThe Author(s) 2022
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发表于 2025-3-21 21:30:34 | 显示全部楼层
Simula SpringerBriefs on Computinghttp://image.papertrans.cn/m/image/626360.jpg
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Introducing Directionality with Diffusion Tensors,In this chapter, we focus on how to transfer information from diffusion tensor imaging (DTI) data to our finite element methods.
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Simulating Anisotropic Diffusion in Heterogeneous Brain Regions,In this chapter, we return to our model problem (1.1) and bring together the tools and techniques introduced in Chapters 3 to 5.
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https://doi.org/10.1007/978-3-030-95136-8Open Access; magnetic resonance imaging; Mesh generation; mathematical modeling; finite element methods;
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Getting started: from T1 images to simulation,lenge, we first demonstrate how to generate a high quality mesh of a brain hemisphere from T1-weighted MR images using the tools introduced in Chapter 2. Next, we show how to define a finite element discretization of the diffusion equation (1.1) over this mesh to simulate the influx of an injected tracer.
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