Mathematical Modeling of the Human Brain by Kent-André Mardal
Mathematical Modeling of the Human Brain - Table of Contents
- 1. Introduction
- 2. Working with Magnetic Resonance Images of the Brain and mri brain segmentation medical image processing
- 3. Getting Started: from T1 Images to Simulation and t1 mri mesh generation finite element setup
- 4. Introducing Heterogeneities and heterogeneous brain tissue material properties
- 5. Introducing Directionality with Diffusion Tensors and diffusion tensor imaging dti orientation tensors
- 6. Simulating Anisotropic Diffusion in Heterogeneous Brain Regions and anisotropic diffusion solver brain simulation fenics
- 7. Concluding Remarks and Outlook
What You Will Learn in Mathematical Modeling of the Human Brain
In Mathematical Modeling of the Human Brain: From MRI to Finite Element Simulations, leading computational mathematician Kent-André Mardal delivers a rigorous exposition of modern image-based biofluid and transport modeling. Across 7 focused chapters, the text examines T1-weighted MRI processing, mesh generation pipelines, regional tissue heterogeneities, diffusion tensor imaging, anisotropic tensor assembly, and multi-scale brain transport simulations.
Targeted at graduate students, computational scientists, and biomedical engineering researchers, Prof. Mardal unifies medical imaging data with numerical partial differential equations. Readers are guided step-by-step from raw MRI scans to finite element mesh geometry, anisotropic conductivity tensors, boundary condition specification, and numerical solver execution.
Celebrated for its practical open-source code workflows, multidisciplinary rigor, and focus on real clinical imaging datasets, this text stands as one of the best brain mathematical modeling textbooks pdf available for study. It systematically equips computational researchers with key software tools for mastering image-based brain simulation with confidence.
Book Details & Specifications
Title:
Mathematical Modeling of the Human Brain by Kent-André Mardal
Publisher:
Springer
Year:
2022
Pages:
136
Type:
PDF
Language:
English
ISBN-10 #:
3030951359
ISBN-13 #:
978-3030951351
License:
CC BY 4.0
Amazon:
Amazon
About the Author: Kent-André Mardal
The author Kent-André Mardal
is a Norwegian mathematician and Professor of Mechanics in the Department of Mathematics at the University of Oslo, Norway.
Specializing in numerical analysis, scientific computing, and biomechanics, Prof. Mardal is an internationally recognized expert in biomedical fluid dynamics, finite element solver algorithms, and mathematical modeling of brain fluid flow.
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