Mathematical Modelling and Biomechanics of the Brain / Corina Drapaca, Siv Sivaloganathan.

Intro; Preface; Contents; 1 Introduction; 2 Brief Review of Continuum Mechanics Theories; 2.1 Kinematics; 2.2 Conservation Laws; 2.2.1 Conservation of Mass; 2.2.2 Conservation of Linear Momentum; 2.2.3 Conservation of Angular Momentum; 2.2.4 Conservation of Mechanical Energy; 2.3 Constitutive Laws; 2.3.1 Noll's Principles; 2.3.2 Simple Materials; 2.3.3 Non-aging Materials; 2.3.4 Invariance Under Rotation of the Reference Frame; 2.3.5 Material Symmetries; 2.3.6 Internal Material Constraints; 2.3.7 Second Law of Thermodynamics; 2.3.8 Examples of Constitutive Laws; 2.3.8.1 Solids and Fluids

2.3.8.2 Viscoelastic Materials2.3.8.3 Materials with Microstructure; 2.3.8.4 Porous Media; 2.4 Non-local Theories; References; 3 Mechanics of Hydrocephalus; 3.1 Background and Significance; 3.2 Mathematical Models; 3.2.1 Pressure-Volume Models; 3.2.2 Consolidation Models; 3.2.2.1 Poroelastic Brain; 3.2.2.2 Viscoelastic Brain; References; 4 Modeling Traumatic Brain Injuries, Aneurysms, and Strokes; 4.1 Background and Significance; 4.2 Mathematical Models; 4.2.1 Models of Traumatic Brain Injuries; 4.2.2 Models of Aneurysms; 4.2.3 Models of Strokes; References; 5 Models of Tumor Growth

5.1 Background and Significance5.2 Mathematical Models; 5.2.1 Microscopic Models; 5.2.2 Multiscale Models; 5.2.3 Macroscopic Models; References; 6 Concluding Remarks