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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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發(fā)表于 2025-3-21 19:37:35 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Mathematical Modeling of the Human Brain
副標(biāo)題From Magnetic Resona
編輯Kent-André Mardal,Marie E. Rognes,Lars Magnus Valn
視頻videohttp://file.papertrans.cn/627/626360/626360.mp4
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
叢書名稱Simula SpringerBriefs on Computing
圖書封面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
關(guān)鍵詞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
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:30:34 | 只看該作者
Simula SpringerBriefs on Computinghttp://image.papertrans.cn/m/image/626360.jpg
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發(fā)表于 2025-3-22 03:02:05 | 只看該作者
地板
發(fā)表于 2025-3-22 08:36:45 | 只看該作者
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發(fā)表于 2025-3-22 09:16:32 | 只看該作者
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.
6#
發(fā)表于 2025-3-22 15:49:42 | 只看該作者
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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發(fā)表于 2025-3-22 21:07:32 | 只看該作者
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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;
9#
發(fā)表于 2025-3-23 02:56:30 | 只看該作者
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發(fā)表于 2025-3-23 08:09:02 | 只看該作者
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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