Mathematical Modeling of the Human Brain
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....
שמור ב:
| Main Authors: | , , , |
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| פורמט: | Online |
| שפה: | אנגלית |
| יצא לאור: |
Springer Nature
2022
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| נושאים: | |
| גישה מקוונת: | ONIX_20220314_9783030951368_61 |
| תגים: |
אין תגיות, היה/י הראשונ/ה לתייג את הרשומה!
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| _version_ | 1869521415075528704 |
|---|---|
| author | Mardal, Kent-André Rognes, Marie E. Thompson, Travis B. Valnes, Lars Magnus |
| author_browse | Mardal, Kent-André Rognes, Marie E. Thompson, Travis B. Valnes, Lars Magnus |
| author_facet | Mardal, Kent-André Rognes, Marie E. Thompson, Travis B. Valnes, Lars Magnus |
| author_sort | Mardal, Kent-André |
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-79362 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | Springer Nature |
| publisherStr | Springer Nature |
| record_format | ojs |
| spelling | doab-20.500.12854ir-793622025-07-30T11:55:06Z Mathematical Modeling of the Human Brain Mardal, Kent-André Rognes, Marie E. Thompson, Travis B. Valnes, Lars Magnus magnetic resonance imaging Mesh generation mathematical modeling finite element methods scientific computing thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics::PBWH Mathematical modelling thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::M Medicine and Nursing::MF Pre-clinical medicine: basic sciences::MFG Physiology thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics::PBWH Mathematical modelling thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::M Medicine and Nursing::MF Pre-clinical medicine: basic sciences::MFG Physiology thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis 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. 2022-03-16T04:02:33Z 2022-03-16T04:02:33Z 2022-03-15T07:53:44Z 2022 book ONIX_20220314_9783030951368_61 OCN: 1301515755 https://library.oapen.org/handle/20.500.12657/53362 9783030951368 https://directory.doabooks.org/handle/20.500.12854/79362 eng Simula SpringerBriefs on Computing open access image/jpeg image/jpeg image/jpeg n/a n/a n/a https://library.oapen.org/bitstream/20.500.12657/53362/1/978-3-030-95136-8.pdf https://library.oapen.org/bitstream/20.500.12657/53362/1/978-3-030-95136-8.pdf https://library.oapen.org/bitstream/20.500.12657/53362/1/978-3-030-95136-8.pdf Springer Nature Springer 10.1007/978-3-030-95136-8 10.1007/978-3-030-95136-8 9fa3421d-f917-4153-b9ab-fc337c396b5a 2ec6bf1f-cf1b-4684-9be9-36e9eb1b2485 9783030951368 Springer 118 Cham [grantnumber unknown] open access |
| spellingShingle | magnetic resonance imaging Mesh generation mathematical modeling finite element methods scientific computing thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics::PBWH Mathematical modelling thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::M Medicine and Nursing::MF Pre-clinical medicine: basic sciences::MFG Physiology thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics::PBWH Mathematical modelling thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::M Medicine and Nursing::MF Pre-clinical medicine: basic sciences::MFG Physiology thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis Mardal, Kent-André Rognes, Marie E. Thompson, Travis B. Valnes, Lars Magnus Mathematical Modeling of the Human Brain |
| title | Mathematical Modeling of the Human Brain |
| title_full | Mathematical Modeling of the Human Brain |
| title_fullStr | Mathematical Modeling of the Human Brain |
| title_full_unstemmed | Mathematical Modeling of the Human Brain |
| title_short | Mathematical Modeling of the Human Brain |
| title_sort | mathematical modeling of the human brain |
| topic | magnetic resonance imaging Mesh generation mathematical modeling finite element methods scientific computing thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics::PBWH Mathematical modelling thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::M Medicine and Nursing::MF Pre-clinical medicine: basic sciences::MFG Physiology thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics::PBWH Mathematical modelling thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::M Medicine and Nursing::MF Pre-clinical medicine: basic sciences::MFG Physiology thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis |
| topic_facet | magnetic resonance imaging Mesh generation mathematical modeling finite element methods scientific computing thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics::PBWH Mathematical modelling thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::M Medicine and Nursing::MF Pre-clinical medicine: basic sciences::MFG Physiology thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics::PBWH Mathematical modelling thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::M Medicine and Nursing::MF Pre-clinical medicine: basic sciences::MFG Physiology thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis |
| url | ONIX_20220314_9783030951368_61 |
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