03538nam 22006973 450 991054827700332120230725152821.03-030-95136-7(CKB)5590000000896792(MiAaPQ)EBC6897088(Au-PeEL)EBL6897088(OCoLC)1308501391(oapen)https://directory.doabooks.org/handle/20.500.12854/79362(PPN)260828440(EXLCZ)99559000000089679220220321d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMathematical Modeling of the Human Brain From Magnetic Resonance Images to Finite Element Simulation / Kent-André Mardal, Marie E. Rognes, Travis B. Thompson, Lars Magnus Valnes1st edition.ChamSpringer Nature2022Cham :Springer International Publishing AG,2022.©2022.1 online resource (129 pages) (XVI, 118 p. 32 illus., 25 illus. in color. :)Simula SpringerBriefs on Computing ;v.103-030-95135-9 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.Simula SpringerBriefs on Computing :10.Human physiologyBiomathematicsMathematical modelsCervellthubImatges per ressonància magnèticathubModels matemàticsthubLlibres electrònicsthubmagnetic resonance imagingMesh generationmathematical modelingfinite element methodsscientific computingHuman physiology.Biomathematics.Mathematical models.CervellImatges per ressonància magnèticaModels matemàticsMardal Kent-André781355Rognes Marie E1214682Thompson Travis B96200Valnes Lars Magnus1214683MiAaPQMiAaPQMiAaPQBOOK9910548277003321Mathematical Modeling of the Human Brain2804638UNINA