Mathematical Modeling of the Human Brain : : From Magnetic Resonance Images to Finite Element Simulation / Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes.
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....
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Superior document: | Simula SpringerBriefs on Computing ; v.10 |
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Place / Publishing House: | Cham : : Springer International Publishing AG,, 2022. ©2022. |
Year of Publication: | 2022 |
Edition: | 1st edition. |
Language: | English |
Series: | Simula SpringerBriefs on Computing :
10. |
Physical Description: | 1 online resource (129 pages) :; (XVI, 118 p. 32 illus., 25 illus. in color. :) |
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(CKB)5590000000896792 (MiAaPQ)EBC6897088 (Au-PeEL)EBL6897088 (OCoLC)1308501391 (oapen)https://directory.doabooks.org/handle/20.500.12854/79362 (PPN)260828440 (EXLCZ)995590000000896792 |
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Mardal, Kent-André. Mathematical Modeling of the Human Brain : From Magnetic Resonance Images to Finite Element Simulation / Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes. 1st edition. Cham Springer Nature 2022 Cham : Springer International Publishing AG, 2022. ©2022. 1 online resource (129 pages) : (XVI, 118 p. 32 illus., 25 illus. in color. :) text txt rdacontent computer c rdamedia online resource cr rdacarrier Simula SpringerBriefs on Computing ; v.10 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. 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. Description based on publisher supplied metadata and other sources. English Human physiology. Biomathematics. Mathematical models. Cervell thub Imatges per ressonància magnètica thub Models matemàtics thub Llibres electrònics thub magnetic resonance imaging Mesh generation mathematical modeling finite element methods scientific computing 3-030-95135-9 Rognes, Marie E. Thompson, Travis B. Valnes, Lars Magnus. Simula SpringerBriefs on Computing : 10. |
language |
English |
format |
eBook |
author |
Mardal, Kent-André. |
spellingShingle |
Mardal, Kent-André. Mathematical Modeling of the Human Brain : From Magnetic Resonance Images to Finite Element Simulation / Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes. Simula SpringerBriefs on Computing ; 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. |
author_facet |
Mardal, Kent-André. Rognes, Marie E. Thompson, Travis B. Valnes, Lars Magnus. |
author_variant |
k a m kam |
author2 |
Rognes, Marie E. Thompson, Travis B. Valnes, Lars Magnus. |
author2_variant |
m e r me mer t b t tb tbt l m v lm lmv |
author2_role |
TeilnehmendeR TeilnehmendeR TeilnehmendeR |
author_sort |
Mardal, Kent-André. |
title |
Mathematical Modeling of the Human Brain : From Magnetic Resonance Images to Finite Element Simulation / Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes. |
title_sub |
From Magnetic Resonance Images to Finite Element Simulation / Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes. |
title_full |
Mathematical Modeling of the Human Brain : From Magnetic Resonance Images to Finite Element Simulation / Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes. |
title_fullStr |
Mathematical Modeling of the Human Brain : From Magnetic Resonance Images to Finite Element Simulation / Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes. |
title_full_unstemmed |
Mathematical Modeling of the Human Brain : From Magnetic Resonance Images to Finite Element Simulation / Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes. |
title_auth |
Mathematical Modeling of the Human Brain : From Magnetic Resonance Images to Finite Element Simulation / Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes. |
title_new |
Mathematical Modeling of the Human Brain : |
title_sort |
mathematical modeling of the human brain : from magnetic resonance images to finite element simulation / kent-andré mardal, marie e. rognes, travis b. thompson, lars magnus valnes. |
series |
Simula SpringerBriefs on Computing ; |
series2 |
Simula SpringerBriefs on Computing ; |
publisher |
Springer Nature Springer International Publishing AG, |
publishDate |
2022 |
physical |
1 online resource (129 pages) : (XVI, 118 p. 32 illus., 25 illus. in color. :) |
edition |
1st edition. |
contents |
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. |
isbn |
3-030-95136-7 3-030-95135-9 |
callnumber-first |
T - Technology |
callnumber-subject |
TA - General and Civil Engineering |
callnumber-label |
TA342-343 |
callnumber-sort |
TA 3342 3343 |
genre |
Llibres electrònics thub |
genre_facet |
Llibres electrònics |
illustrated |
Illustrated |
oclc_num |
1308501391 |
work_keys_str_mv |
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(CKB)5590000000896792 (MiAaPQ)EBC6897088 (Au-PeEL)EBL6897088 (OCoLC)1308501391 (oapen)https://directory.doabooks.org/handle/20.500.12854/79362 (PPN)260828440 (EXLCZ)995590000000896792 |
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hierarchy_parent_title |
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hierarchy_sequence |
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Mathematical Modeling of the Human Brain : From Magnetic Resonance Images to Finite Element Simulation / Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes. |
container_title |
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