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Computer Modeling in Bioengineering: Theoretical Background, Examples and Software
John Wiley and Sons Ltd, May 2008, Pages: 472
Part I Theoretical Background of Computational Methods
1 Notation – Matrices and Tensors
1.1 Matrix representation of mathematical objects
1.2 Basic relations in matrix algebra
1.3 Definition of tensors and some basic tensorial relations
1.4 Vector and tensor differential operations and integral theorems
1.5 Examples
2 Fundamentals of Continuum Mechanics
2.1 Definitions of stress and strain
2.2 Linear elastic and viscoelastic constitutive relations
2.3 Principle of virtual work
2.4 Nonlinear continuum mechanics
3 Heat Transfer, Diffusion, Fluid Mechanics, and Fluid Flow through Porous Deformable Media
3.1 Heat conduction
3.2 Diffusion
3.3 Fluid flow of incompressible viscous fluid with heat and mass transfer
3.4 Fluid flow through porous deformable media
Part II Fundamentals of Computational Methods
4 Isoparametric Formulation of Finite Elements
4.1 Introduction to the finite element method
4.2 Formulation of 1D finite elements and equilibrium equations
4.3 Three-dimensional (3D) isoparametric finite element
4.4 Two-dimensional (2D) isoparametric finite elements
4.5 Isoparametric shell finite element for general 3D analysis
5 Dynamic Finite Element Analysis
5.1 Introduction to dynamics of structures
5.2 Differential equations of motion
5.3 Integration of differential equations of motion
5.4 System frequencies and modal shapes
5.5 Examples
6 Introduction to Nonlinear Finite Element Analysis
6.1 Introduction
6.2 Principle of virtual work and equilibrium equations in nonlinear incremental analysis
6.3 Examples
7 Finite Element Modeling of Field Problems
7.1 Introduction
7.2 Heat conduction
7.3 Diffusion
7.4 Fluid flow with heat and mass transfer
7.5 FE equations for modeling large change of fluid domain – arbitrary Lagrangian–Eulerian (ALE) formulation
7.6 Solid–fluid interaction
7.7 Fluid flow through porous deformable media
8 Discrete Particle Methods for Modeling of Solids and Fluids
8.1 Molecular dynamics
8.2 Dissipative particle dynamics (DPD) method
8.3 Multiscale modeling, coupling DPD-FE for fluid flow
8.4 Smoothed particle hydrodynamics (SPH)
8.5 Element-free Galerkin (EFG) method
Part III Computational Methods in Bioengineering
9 Introduction to Bioengineering
9.1 The subject and scope of bioengineering
9.2 The role of computer modeling in bioengineering
10 Bone Modeling
10.1 The structure and forms of bones
10.2 The mechanical properties of bone and FE modeling
10.3 Bone fracture – medical treatment and computer modeling
10.4 Internal fixation of hip fracture – two solutions and computer models
11 Biological Soft Tissue
11.1 Introduction to mechanics of biological tissue
11.2 Modeling methods for isotropic tissue
11.3 Examples
12 Skeletal Muscles
12.1 Introduction
12.2 Muscle modeling
12.3 Examples
13 Blood Flow and Blood Vessels
13.1 Introduction to the cardiovascular system
13.2 Methods of modeling blood flow and blood vessels
13.3 Human aorta
13.4 Abdominal aortic aneurysm (AAA)
13.5 Blood flow through the carotid artery bifurcation
13.6 Femoral artery with stent
13.7 Blood flow in venous system
13.8 Heart model
14 Modeling Mass Transport and Thrombosis in Arteries
14.1 Introduction
14.2 Modeling thrombosis by continuum-based methods
14.3 Modeling of thrombosis by DPD
15 Cartilage Mechanics
15.1 Introduction
15.2 Differential equations of balance in cartilage mechanics
15.3 Finite element modeling of cartilage deformation
15.4 Examples
16 Cell Mechanics
16.1 Introduction to mechanics of cells
16.2 Cell mechanical models
16.3 Examples: modeling of cell in various mechanical conditions
17 Extracellular Mechanotransduction: Modeling Ligand Concentration Dynamics in the Lateral Intercellular Space of Compressed Airway Epithelial Cells
17.1 Autocrine signaling in airway epithelial cells
17.1.1 Introduction
17.2 The dynamic diffusion model
17.3 The dynamic diffusion and convection model
18 Spider Silk: Modeling Solvent Removal during Synthetic and Nephila clavipes Fiber Spinning
18.1 Determination of the solvent diffusion coefficient in a concentrated polymer solution
18.2 Modeling solvent removal during synthetic fiber spinning
18.3 Modeling solvent removal during Nephila clavipes fiber spinning
19 Modeling in Cancer Nanotechnology
19.1 Introduction
19.2 The transport of particulates in capillaries
19.3 The mathematical model
19.4 The concentration profile
19.5 Comments and discussions of the analytical models and solutions
19.6 Numerical modeling of particle motion within capillary
Index
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